2 puzzles: Squares, Cubes & Prime Numbers

(1)   Sum of the squares of the digits of a prime is another prime number

For example,   11,   1^2 + 1^2 = 2 is prime

the prime number   23,   2^2 + 3^2 = 13
the prime number   41,   4^2 + 1^2 = 17
the prime number   61,   6^2 + 1^2 = 37
the prime number   83,   8^2 + 3^2 = 73
the prime number   101,   1^2 + 0^2 + 1^2 = 2
the prime number   113,   1^2 + 1^2 + 3^2 = 11

the prime number   317

3^2 + 1^2 + 7^2 = 59   is a prime number

 
Sum of the cubes of the digits of a prime is another prime number

>> 821, 823, 827, 829   are primes

8^3 + 2^3 + 1^3 = 521   is prime
8^3 + 2^3 + 3^3 = 547   is prime
8^3 + 2^3 + 7^3 = 863   is prime
8^3 + 2^3 + 9^3 = 1249   is prime

 
Find other examples.

 

(2)   When replacing each digit of a prime with
(a) its square
(b) its cube
(c) (a) & (b)

results in two new primes

For example, the prime number   983

9^2 = 81,   8^2 = 64   &   3^2 = 9
9^3 = 729,   8^3 = 512   &   3^3 = 27

The new numbers,   81649   is prime   &   72951227   is prime

 
Find other examples.

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About benvitalis

math grad - Interest: Number theory
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1 Response to 2 puzzles: Squares, Cubes & Prime Numbers

  1. Paul says:
    Part (1) Here is a list of primes (3 digit),who’s sum of digits raised to a power from 2 to 10 is also a prime. 101 = {1,0,1}^2 = 2 113 = {1,1,3}^2 = 11 131 = {1,3,1}^2 = 11 137 = {1,3,7}^2 = 59 173 = {1,7,3}^2 = 59 179 = {1,7,9}^2 = 131 191 = {1,9,1}^2 = 83 197 = {1,9,7}^2 = 131 199 = {1,9,9}^2 = 163 223 = {2,2,3}^2 = 17 229 = {2,2,9}^2 = 89 311 = {3,1,1}^2 = 11 313 = {3,1,3}^2 = 19 317 = {3,1,7}^2 = 59 331 = {3,3,1}^2 = 19 337 = {3,3,7}^2 = 67 353 = {3,5,3}^2 = 43 373 = {3,7,3}^2 = 67 379 = {3,7,9}^2 = 139 397 = {3,9,7}^2 = 139 401 = {4,0,1}^2 = 17 409 = {4,0,9}^2 = 97 443 = {4,4,3}^2 = 41 449 = {4,4,9}^2 = 113 461 = {4,6,1}^2 = 53 463 = {4,6,3}^2 = 61 467 = {4,6,7}^2 = 101 601 = {6,0,1}^2 = 37 641 = {6,4,1}^2 = 53 643 = {6,4,3}^2 = 61 647 = {6,4,7}^2 = 101 661 = {6,6,1}^2 = 73 683 = {6,8,3}^2 = 109 719 = {7,1,9}^2 = 131 733 = {7,3,3}^2 = 67 739 = {7,3,9}^2 = 139 773 = {7,7,3}^2 = 107 797 = {7,9,7}^2 = 179 829 = {8,2,9}^2 = 149 863 = {8,6,3}^2 = 109 883 = {8,8,3}^2 = 137 911 = {9,1,1}^2 = 83 919 = {9,1,9}^2 = 163 937 = {9,3,7}^2 = 139 971 = {9,7,1}^2 = 131 977 = {9,7,7}^2 = 179 991 = {9,9,1}^2 = 163 997 = {9,9,7}^2 = 211 101 = {1,0,1}^3 = 2 113 = {1,1,3}^3 = 29 131 = {1,3,1}^3 = 29 139 = {1,3,9}^3 = 757 151 = {1,5,1}^3 = 127 193 = {1,9,3}^3 = 757 199 = {1,9,9}^3 = 1459 223 = {2,2,3}^3 = 43 227 = {2,2,7}^3 = 359 241 = {2,4,1}^3 = 73 263 = {2,6,3}^3 = 251 269 = {2,6,9}^3 = 953 281 = {2,8,1}^3 = 521 283 = {2,8,3}^3 = 547 311 = {3,1,1}^3 = 29 337 = {3,3,7}^3 = 397 353 = {3,5,3}^3 = 179 359 = {3,5,9}^3 = 881 373 = {3,7,3}^3 = 397 421 = {4,2,1}^3 = 73 449 = {4,4,9}^3 = 857 461 = {4,6,1}^3 = 281 463 = {4,6,3}^3 = 307 487 = {4,8,7}^3 = 919 557 = {5,5,7}^3 = 593 577 = {5,7,7}^3 = 811 593 = {5,9,3}^3 = 881 599 = {5,9,9}^3 = 1583 641 = {6,4,1}^3 = 281 643 = {6,4,3}^3 = 307 661 = {6,6,1}^3 = 433 733 = {7,3,3}^3 = 397 757 = {7,5,7}^3 = 811 821 = {8,2,1}^3 = 521 823 = {8,2,3}^3 = 547 827 = {8,2,7}^3 = 863 829 = {8,2,9}^3 = 1249 883 = {8,8,3}^3 = 1051 887 = {8,8,7}^3 = 1367 919 = {9,1,9}^3 = 1459 953 = {9,5,3}^3 = 881 991 = {9,9,1}^3 = 1459 997 = {9,9,7}^3 = 1801 101 = {1,0,1}^4 = 2 113 = {1,1,3}^4 = 83 131 = {1,3,1}^4 = 83 179 = {1,7,9}^4 = 8963 191 = {1,9,1}^4 = 6563 197 = {1,9,7}^4 = 8963 223 = {2,2,3}^4 = 113 269 = {2,6,9}^4 = 7873 311 = {3,1,1}^4 = 83 313 = {3,1,3}^4 = 163 331 = {3,3,1}^4 = 163 353 = {3,5,3}^4 = 787 379 = {3,7,9}^4 = 9043 397 = {3,9,7}^4 = 9043 401 = {4,0,1}^4 = 257 443 = {4,4,3}^4 = 593 461 = {4,6,1}^4 = 1553 601 = {6,0,1}^4 = 1297 607 = {6,0,7}^4 = 3697 641 = {6,4,1}^4 = 1553 661 = {6,6,1}^4 = 2593 719 = {7,1,9}^4 = 8963 739 = {7,3,9}^4 = 9043 809 = {8,0,9}^4 = 10657 883 = {8,8,3}^4 = 8273 911 = {9,1,1}^4 = 6563 937 = {9,3,7}^4 = 9043 971 = {9,7,1}^4 = 8963 101 = {1,0,1}^5 = 2 191 = {1,9,1}^5 = 59051 223 = {2,2,3}^5 = 307 227 = {2,2,7}^5 = 16871 229 = {2,2,9}^5 = 59113 281 = {2,8,1}^5 = 32801 313 = {3,1,3}^5 = 487 331 = {3,3,1}^5 = 487 337 = {3,3,7}^5 = 17293 359 = {3,5,9}^5 = 62417 373 = {3,7,3}^5 = 17293 379 = {3,7,9}^5 = 76099 397 = {3,9,7}^5 = 76099 463 = {4,6,3}^5 = 9043 487 = {4,8,7}^5 = 50599 557 = {5,5,7}^5 = 23057 577 = {5,7,7}^5 = 36739 593 = {5,9,3}^5 = 62417 643 = {6,4,3}^5 = 9043 683 = {6,8,3}^5 = 40787 733 = {7,3,3}^5 = 17293 739 = {7,3,9}^5 = 76099 757 = {7,5,7}^5 = 36739 773 = {7,7,3}^5 = 33857 821 = {8,2,1}^5 = 32801 863 = {8,6,3}^5 = 40787 881 = {8,8,1}^5 = 65537 911 = {9,1,1}^5 = 59051 937 = {9,3,7}^5 = 76099 953 = {9,5,3}^5 = 62417 101 = {1,0,1}^6 = 2 223 = {2,2,3}^6 = 857 229 = {2,2,9}^6 = 531569 283 = {2,8,3}^6 = 262937 313 = {3,1,3}^6 = 1459 331 = {3,3,1}^6 = 1459 337 = {3,3,7}^6 = 119107 373 = {3,7,3}^6 = 119107 449 = {4,4,9}^6 = 539633 461 = {4,6,1}^6 = 50753 463 = {4,6,3}^6 = 51481 599 = {5,9,9}^6 = 1078507 641 = {6,4,1}^6 = 50753 643 = {6,4,3}^6 = 51481 733 = {7,3,3}^6 = 119107 797 = {7,9,7}^6 = 766739 823 = {8,2,3}^6 = 262937 883 = {8,8,3}^6 = 525017 977 = {9,7,7}^6 = 766739 101 = {1,0,1}^7 = 2 191 = {1,9,1}^7 = 4782971 227 = {2,2,7}^7 = 823799 269 = {2,6,9}^7 = 5063033 283 = {2,8,3}^7 = 2099467 353 = {3,5,3}^7 = 82499 379 = {3,7,9}^7 = 5608699 397 = {3,9,7}^7 = 5608699 467 = {4,6,7}^7 = 1119863 647 = {6,4,7}^7 = 1119863 739 = {7,3,9}^7 = 5608699 823 = {8,2,3}^7 = 2099467 829 = {8,2,9}^7 = 6880249 911 = {9,1,1}^7 = 4782971 937 = {9,3,7}^7 = 5608699 997 = {9,9,7}^7 = 10389481 101 = {1,0,1}^8 = 2 113 = {1,1,3}^8 = 6563 131 = {1,3,1}^8 = 6563 199 = {1,9,9}^8 = 86093443 269 = {2,6,9}^8 = 44726593 311 = {3,1,1}^8 = 6563 401 = {4,0,1}^8 = 65537 443 = {4,4,3}^8 = 137633 461 = {4,6,1}^8 = 1745153 641 = {6,4,1}^8 = 1745153 919 = {9,1,9}^8 = 86093443 991 = {9,9,1}^8 = 86093443 997 = {9,9,7}^8 = 91858243 101 = {1,0,1}^9 = 2 223 = {2,2,3}^9 = 20707 241 = {2,4,1}^9 = 262657 263 = {2,6,3}^9 = 10097891 313 = {3,1,3}^9 = 39367 331 = {3,3,1}^9 = 39367 421 = {4,2,1}^9 = 262657 443 = {4,4,3}^9 = 543971 577 = {5,7,7}^9 = 82660339 757 = {7,5,7}^9 = 82660339 797 = {7,9,7}^9 = 468127703 977 = {9,7,7}^9 = 468127703 101 = {1,0,1}^10 = 2 113 = {1,1,3}^10 = 59051 131 = {1,3,1}^10 = 59051 311 = {3,1,1}^10 = 59051 337 = {3,3,7}^10 = 282593347 373 = {3,7,3}^10 = 282593347 379 = {3,7,9}^10 = 3769318699 397 = {3,9,7}^10 = 3769318699 661 = {6,6,1}^10 = 120932353 733 = {7,3,3}^10 = 282593347 739 = {7,3,9}^10 = 3769318699 937 = {9,3,7}^10 = 3769318699 Part (2) All the 3 digit primes who’s concatenated digit squares and cubes is also a prime 101 = {1,0,1}^2 = {1,0,1} = 101 {1,0,1}^3 = {1,0,1} = 101 103 = {1,0,3}^2 = {1,0,9} = 109 {1,0,3}^3 = {1,0,27} = 1027 107 = {1,0,7}^2 = {1,0,49} = 1049 {1,0,7}^3 = {1,0,343} = 10343 109 = {1,0,9}^2 = {1,0,81} = 1081 {1,0,9}^3 = {1,0,729} = 10729 113 = {1,1,3}^2 = {1,1,9} = 119 {1,1,3}^3 = {1,1,27} = 1127 127 = {1,2,7}^2 = {1,4,49} = 1449 {1,2,7}^3 = {1,8,343} = 18343 131 = {1,3,1}^2 = {1,9,1} = 191 {1,3,1}^3 = {1,27,1} = 1271 137 = {1,3,7}^2 = {1,9,49} = 1949 {1,3,7}^3 = {1,27,343} = 127343 139 = {1,3,9}^2 = {1,9,81} = 1981 {1,3,9}^3 = {1,27,729} = 127729 149 = {1,4,9}^2 = {1,16,81} = 11681 {1,4,9}^3 = {1,64,729} = 164729 151 = {1,5,1}^2 = {1,25,1} = 1251 {1,5,1}^3 = {1,125,1} = 11251 157 = {1,5,7}^2 = {1,25,49} = 12549 {1,5,7}^3 = {1,125,343} = 1125343 163 = {1,6,3}^2 = {1,36,9} = 1369 {1,6,3}^3 = {1,216,27} = 121627 167 = {1,6,7}^2 = {1,36,49} = 13649 {1,6,7}^3 = {1,216,343} = 1216343 173 = {1,7,3}^2 = {1,49,9} = 1499 {1,7,3}^3 = {1,343,27} = 134327 179 = {1,7,9}^2 = {1,49,81} = 14981 {1,7,9}^3 = {1,343,729} = 1343729 181 = {1,8,1}^2 = {1,64,1} = 1641 {1,8,1}^3 = {1,512,1} = 15121 191 = {1,9,1}^2 = {1,81,1} = 1811 {1,9,1}^3 = {1,729,1} = 17291 193 = {1,9,3}^2 = {1,81,9} = 1819 {1,9,3}^3 = {1,729,27} = 172927 197 = {1,9,7}^2 = {1,81,49} = 18149 {1,9,7}^3 = {1,729,343} = 1729343 199 = {1,9,9}^2 = {1,81,81} = 18181 {1,9,9}^3 = {1,729,729} = 1729729 211 = {2,1,1}^2 = {4,1,1} = 411 {2,1,1}^3 = {8,1,1} = 811 223 = {2,2,3}^2 = {4,4,9} = 449 {2,2,3}^3 = {8,8,27} = 8827 227 = {2,2,7}^2 = {4,4,49} = 4449 {2,2,7}^3 = {8,8,343} = 88343 229 = {2,2,9}^2 = {4,4,81} = 4481 {2,2,9}^3 = {8,8,729} = 88729 233 = {2,3,3}^2 = {4,9,9} = 499 {2,3,3}^3 = {8,27,27} = 82727 239 = {2,3,9}^2 = {4,9,81} = 4981 {2,3,9}^3 = {8,27,729} = 827729 241 = {2,4,1}^2 = {4,16,1} = 4161 {2,4,1}^3 = {8,64,1} = 8641 251 = {2,5,1}^2 = {4,25,1} = 4251 {2,5,1}^3 = {8,125,1} = 81251 257 = {2,5,7}^2 = {4,25,49} = 42549 {2,5,7}^3 = {8,125,343} = 8125343 263 = {2,6,3}^2 = {4,36,9} = 4369 {2,6,3}^3 = {8,216,27} = 821627 269 = {2,6,9}^2 = {4,36,81} = 43681 {2,6,9}^3 = {8,216,729} = 8216729 271 = {2,7,1}^2 = {4,49,1} = 4491 {2,7,1}^3 = {8,343,1} = 83431 277 = {2,7,7}^2 = {4,49,49} = 44949 {2,7,7}^3 = {8,343,343} = 8343343 281 = {2,8,1}^2 = {4,64,1} = 4641 {2,8,1}^3 = {8,512,1} = 85121 283 = {2,8,3}^2 = {4,64,9} = 4649 {2,8,3}^3 = {8,512,27} = 851227 293 = {2,9,3}^2 = {4,81,9} = 4819 {2,9,3}^3 = {8,729,27} = 872927 307 = {3,0,7}^2 = {9,0,49} = 9049 {3,0,7}^3 = {27,0,343} = 270343 311 = {3,1,1}^2 = {9,1,1} = 911 {3,1,1}^3 = {27,1,1} = 2711 313 = {3,1,3}^2 = {9,1,9} = 919 {3,1,3}^3 = {27,1,27} = 27127 317 = {3,1,7}^2 = {9,1,49} = 9149 {3,1,7}^3 = {27,1,343} = 271343 331 = {3,3,1}^2 = {9,9,1} = 991 {3,3,1}^3 = {27,27,1} = 27271 337 = {3,3,7}^2 = {9,9,49} = 9949 {3,3,7}^3 = {27,27,343} = 2727343 347 = {3,4,7}^2 = {9,16,49} = 91649 {3,4,7}^3 = {27,64,343} = 2764343 349 = {3,4,9}^2 = {9,16,81} = 91681 {3,4,9}^3 = {27,64,729} = 2764729 353 = {3,5,3}^2 = {9,25,9} = 9259 {3,5,3}^3 = {27,125,27} = 2712527 359 = {3,5,9}^2 = {9,25,81} = 92581 {3,5,9}^3 = {27,125,729} = 27125729 367 = {3,6,7}^2 = {9,36,49} = 93649 {3,6,7}^3 = {27,216,343} = 27216343 373 = {3,7,3}^2 = {9,49,9} = 9499 {3,7,3}^3 = {27,343,27} = 2734327 379 = {3,7,9}^2 = {9,49,81} = 94981 {3,7,9}^3 = {27,343,729} = 27343729 383 = {3,8,3}^2 = {9,64,9} = 9649 {3,8,3}^3 = {27,512,27} = 2751227 389 = {3,8,9}^2 = {9,64,81} = 96481 {3,8,9}^3 = {27,512,729} = 27512729 397 = {3,9,7}^2 = {9,81,49} = 98149 {3,9,7}^3 = {27,729,343} = 27729343 401 = {4,0,1}^2 = {16,0,1} = 1601 {4,0,1}^3 = {64,0,1} = 6401 409 = {4,0,9}^2 = {16,0,81} = 16081 {4,0,9}^3 = {64,0,729} = 640729 419 = {4,1,9}^2 = {16,1,81} = 16181 {4,1,9}^3 = {64,1,729} = 641729 421 = {4,2,1}^2 = {16,4,1} = 1641 {4,2,1}^3 = {64,8,1} = 6481 431 = {4,3,1}^2 = {16,9,1} = 1691 {4,3,1}^3 = {64,27,1} = 64271 433 = {4,3,3}^2 = {16,9,9} = 1699 {4,3,3}^3 = {64,27,27} = 642727 439 = {4,3,9}^2 = {16,9,81} = 16981 {4,3,9}^3 = {64,27,729} = 6427729 443 = {4,4,3}^2 = {16,16,9} = 16169 {4,4,3}^3 = {64,64,27} = 646427 449 = {4,4,9}^2 = {16,16,81} = 161681 {4,4,9}^3 = {64,64,729} = 6464729 457 = {4,5,7}^2 = {16,25,49} = 162549 {4,5,7}^3 = {64,125,343} = 64125343 461 = {4,6,1}^2 = {16,36,1} = 16361 {4,6,1}^3 = {64,216,1} = 642161 463 = {4,6,3}^2 = {16,36,9} = 16369 {4,6,3}^3 = {64,216,27} = 6421627 467 = {4,6,7}^2 = {16,36,49} = 163649 {4,6,7}^3 = {64,216,343} = 64216343 479 = {4,7,9}^2 = {16,49,81} = 164981 {4,7,9}^3 = {64,343,729} = 64343729 487 = {4,8,7}^2 = {16,64,49} = 166449 {4,8,7}^3 = {64,512,343} = 64512343 491 = {4,9,1}^2 = {16,81,1} = 16811 {4,9,1}^3 = {64,729,1} = 647291 499 = {4,9,9}^2 = {16,81,81} = 168181 {4,9,9}^3 = {64,729,729} = 64729729 503 = {5,0,3}^2 = {25,0,9} = 2509 {5,0,3}^3 = {125,0,27} = 125027 509 = {5,0,9}^2 = {25,0,81} = 25081 {5,0,9}^3 = {125,0,729} = 1250729 521 = {5,2,1}^2 = {25,4,1} = 2541 {5,2,1}^3 = {125,8,1} = 12581 523 = {5,2,3}^2 = {25,4,9} = 2549 {5,2,3}^3 = {125,8,27} = 125827 541 = {5,4,1}^2 = {25,16,1} = 25161 {5,4,1}^3 = {125,64,1} = 125641 547 = {5,4,7}^2 = {25,16,49} = 251649 {5,4,7}^3 = {125,64,343} = 12564343 557 = {5,5,7}^2 = {25,25,49} = 252549 {5,5,7}^3 = {125,125,343} = 125125343 563 = {5,6,3}^2 = {25,36,9} = 25369 {5,6,3}^3 = {125,216,27} = 12521627 569 = {5,6,9}^2 = {25,36,81} = 253681 {5,6,9}^3 = {125,216,729} = 125216729 571 = {5,7,1}^2 = {25,49,1} = 25491 {5,7,1}^3 = {125,343,1} = 1253431 577 = {5,7,7}^2 = {25,49,49} = 254949 {5,7,7}^3 = {125,343,343} = 125343343 587 = {5,8,7}^2 = {25,64,49} = 256449 {5,8,7}^3 = {125,512,343} = 125512343 593 = {5,9,3}^2 = {25,81,9} = 25819 {5,9,3}^3 = {125,729,27} = 12572927 599 = {5,9,9}^2 = {25,81,81} = 258181 {5,9,9}^3 = {125,729,729} = 125729729 601 = {6,0,1}^2 = {36,0,1} = 3601 {6,0,1}^3 = {216,0,1} = 21601 607 = {6,0,7}^2 = {36,0,49} = 36049 {6,0,7}^3 = {216,0,343} = 2160343 613 = {6,1,3}^2 = {36,1,9} = 3619 {6,1,3}^3 = {216,1,27} = 216127 617 = {6,1,7}^2 = {36,1,49} = 36149 {6,1,7}^3 = {216,1,343} = 2161343 619 = {6,1,9}^2 = {36,1,81} = 36181 {6,1,9}^3 = {216,1,729} = 2161729 631 = {6,3,1}^2 = {36,9,1} = 3691 {6,3,1}^3 = {216,27,1} = 216271 641 = {6,4,1}^2 = {36,16,1} = 36161 {6,4,1}^3 = {216,64,1} = 216641 643 = {6,4,3}^2 = {36,16,9} = 36169 {6,4,3}^3 = {216,64,27} = 2166427 647 = {6,4,7}^2 = {36,16,49} = 361649 {6,4,7}^3 = {216,64,343} = 21664343 653 = {6,5,3}^2 = {36,25,9} = 36259 {6,5,3}^3 = {216,125,27} = 21612527 659 = {6,5,9}^2 = {36,25,81} = 362581 {6,5,9}^3 = {216,125,729} = 216125729 661 = {6,6,1}^2 = {36,36,1} = 36361 {6,6,1}^3 = {216,216,1} = 2162161 673 = {6,7,3}^2 = {36,49,9} = 36499 {6,7,3}^3 = {216,343,27} = 21634327 677 = {6,7,7}^2 = {36,49,49} = 364949 {6,7,7}^3 = {216,343,343} = 216343343 683 = {6,8,3}^2 = {36,64,9} = 36649 {6,8,3}^3 = {216,512,27} = 21651227 691 = {6,9,1}^2 = {36,81,1} = 36811 {6,9,1}^3 = {216,729,1} = 2167291 701 = {7,0,1}^2 = {49,0,1} = 4901 {7,0,1}^3 = {343,0,1} = 34301 709 = {7,0,9}^2 = {49,0,81} = 49081 {7,0,9}^3 = {343,0,729} = 3430729 719 = {7,1,9}^2 = {49,1,81} = 49181 {7,1,9}^3 = {343,1,729} = 3431729 727 = {7,2,7}^2 = {49,4,49} = 49449 {7,2,7}^3 = {343,8,343} = 3438343 733 = {7,3,3}^2 = {49,9,9} = 4999 {7,3,3}^3 = {343,27,27} = 3432727 739 = {7,3,9}^2 = {49,9,81} = 49981 {7,3,9}^3 = {343,27,729} = 34327729 743 = {7,4,3}^2 = {49,16,9} = 49169 {7,4,3}^3 = {343,64,27} = 3436427 751 = {7,5,1}^2 = {49,25,1} = 49251 {7,5,1}^3 = {343,125,1} = 3431251 757 = {7,5,7}^2 = {49,25,49} = 492549 {7,5,7}^3 = {343,125,343} = 343125343 761 = {7,6,1}^2 = {49,36,1} = 49361 {7,6,1}^3 = {343,216,1} = 3432161 769 = {7,6,9}^2 = {49,36,81} = 493681 {7,6,9}^3 = {343,216,729} = 343216729 773 = {7,7,3}^2 = {49,49,9} = 49499 {7,7,3}^3 = {343,343,27} = 34334327 787 = {7,8,7}^2 = {49,64,49} = 496449 {7,8,7}^3 = {343,512,343} = 343512343 797 = {7,9,7}^2 = {49,81,49} = 498149 {7,9,7}^3 = {343,729,343} = 343729343 809 = {8,0,9}^2 = {64,0,81} = 64081 {8,0,9}^3 = {512,0,729} = 5120729 811 = {8,1,1}^2 = {64,1,1} = 6411 {8,1,1}^3 = {512,1,1} = 51211 821 = {8,2,1}^2 = {64,4,1} = 6441 {8,2,1}^3 = {512,8,1} = 51281 823 = {8,2,3}^2 = {64,4,9} = 6449 {8,2,3}^3 = {512,8,27} = 512827 827 = {8,2,7}^2 = {64,4,49} = 64449 {8,2,7}^3 = {512,8,343} = 5128343 829 = {8,2,9}^2 = {64,4,81} = 64481 {8,2,9}^3 = {512,8,729} = 5128729 839 = {8,3,9}^2 = {64,9,81} = 64981 {8,3,9}^3 = {512,27,729} = 51227729 853 = {8,5,3}^2 = {64,25,9} = 64259 {8,5,3}^3 = {512,125,27} = 51212527 857 = {8,5,7}^2 = {64,25,49} = 642549 {8,5,7}^3 = {512,125,343} = 512125343 859 = {8,5,9}^2 = {64,25,81} = 642581 {8,5,9}^3 = {512,125,729} = 512125729 863 = {8,6,3}^2 = {64,36,9} = 64369 {8,6,3}^3 = {512,216,27} = 51221627 877 = {8,7,7}^2 = {64,49,49} = 644949 {8,7,7}^3 = {512,343,343} = 512343343 881 = {8,8,1}^2 = {64,64,1} = 64641 {8,8,1}^3 = {512,512,1} = 5125121 883 = {8,8,3}^2 = {64,64,9} = 64649 {8,8,3}^3 = {512,512,27} = 51251227 887 = {8,8,7}^2 = {64,64,49} = 646449 {8,8,7}^3 = {512,512,343} = 512512343 907 = {9,0,7}^2 = {81,0,49} = 81049 {9,0,7}^3 = {729,0,343} = 7290343 911 = {9,1,1}^2 = {81,1,1} = 8111 {9,1,1}^3 = {729,1,1} = 72911 919 = {9,1,9}^2 = {81,1,81} = 81181 {9,1,9}^3 = {729,1,729} = 7291729 929 = {9,2,9}^2 = {81,4,81} = 81481 {9,2,9}^3 = {729,8,729} = 7298729 937 = {9,3,7}^2 = {81,9,49} = 81949 {9,3,7}^3 = {729,27,343} = 72927343 941 = {9,4,1}^2 = {81,16,1} = 81161 {9,4,1}^3 = {729,64,1} = 729641 947 = {9,4,7}^2 = {81,16,49} = 811649 {9,4,7}^3 = {729,64,343} = 72964343 953 = {9,5,3}^2 = {81,25,9} = 81259 {9,5,3}^3 = {729,125,27} = 72912527 967 = {9,6,7}^2 = {81,36,49} = 813649 {9,6,7}^3 = {729,216,343} = 729216343 971 = {9,7,1}^2 = {81,49,1} = 81491 {9,7,1}^3 = {729,343,1} = 7293431 977 = {9,7,7}^2 = {81,49,49} = 814949 {9,7,7}^3 = {729,343,343} = 729343343 983 = {9,8,3}^2 = {81,64,9} = 81649 {9,8,3}^3 = {729,512,27} = 72951227 991 = {9,9,1}^2 = {81,81,1} = 81811 {9,9,1}^3 = {729,729,1} = 7297291 997 = {9,9,7}^2 = {81,81,49} = 818149 {9,9,7}^3 = {729,729,343} = 729729343 and why not 4 digit primes 1009 = {1,0,0,9}^2 = {1,0,0,81} = 10081 {1,0,0,9}^3 = {1,0,0,729} = 100729 1013 = {1,0,1,3}^2 = {1,0,1,9} = 1019 {1,0,1,3}^3 = {1,0,1,27} = 10127 1019 = {1,0,1,9}^2 = {1,0,1,81} = 10181 {1,0,1,9}^3 = {1,0,1,729} = 101729 1021 = {1,0,2,1}^2 = {1,0,4,1} = 1041 {1,0,2,1}^3 = {1,0,8,1} = 1081 1031 = {1,0,3,1}^2 = {1,0,9,1} = 1091 {1,0,3,1}^3 = {1,0,27,1} = 10271 1033 = {1,0,3,3}^2 = {1,0,9,9} = 1099 {1,0,3,3}^3 = {1,0,27,27} = 102727 1039 = {1,0,3,9}^2 = {1,0,9,81} = 10981 {1,0,3,9}^3 = {1,0,27,729} = 1027729 1049 = {1,0,4,9}^2 = {1,0,16,81} = 101681 {1,0,4,9}^3 = {1,0,64,729} = 1064729 1051 = {1,0,5,1}^2 = {1,0,25,1} = 10251 {1,0,5,1}^3 = {1,0,125,1} = 101251 1061 = {1,0,6,1}^2 = {1,0,36,1} = 10361 {1,0,6,1}^3 = {1,0,216,1} = 102161 1063 = {1,0,6,3}^2 = {1,0,36,9} = 10369 {1,0,6,3}^3 = {1,0,216,27} = 1021627 1069 = {1,0,6,9}^2 = {1,0,36,81} = 103681 {1,0,6,9}^3 = {1,0,216,729} = 10216729 1087 = {1,0,8,7}^2 = {1,0,64,49} = 106449 {1,0,8,7}^3 = {1,0,512,343} = 10512343 1091 = {1,0,9,1}^2 = {1,0,81,1} = 10811 {1,0,9,1}^3 = {1,0,729,1} = 107291 1093 = {1,0,9,3}^2 = {1,0,81,9} = 10819 {1,0,9,3}^3 = {1,0,729,27} = 1072927 1097 = {1,0,9,7}^2 = {1,0,81,49} = 108149 {1,0,9,7}^3 = {1,0,729,343} = 10729343 1103 = {1,1,0,3}^2 = {1,1,0,9} = 1109 {1,1,0,3}^3 = {1,1,0,27} = 11027 1109 = {1,1,0,9}^2 = {1,1,0,81} = 11081 {1,1,0,9}^3 = {1,1,0,729} = 110729 1117 = {1,1,1,7}^2 = {1,1,1,49} = 11149 {1,1,1,7}^3 = {1,1,1,343} = 111343 1123 = {1,1,2,3}^2 = {1,1,4,9} = 1149 {1,1,2,3}^3 = {1,1,8,27} = 11827 1129 = {1,1,2,9}^2 = {1,1,4,81} = 11481 {1,1,2,9}^3 = {1,1,8,729} = 118729 1151 = {1,1,5,1}^2 = {1,1,25,1} = 11251 {1,1,5,1}^3 = {1,1,125,1} = 111251 1153 = {1,1,5,3}^2 = {1,1,25,9} = 11259 {1,1,5,3}^3 = {1,1,125,27} = 1112527 1163 = {1,1,6,3}^2 = {1,1,36,9} = 11369 {1,1,6,3}^3 = {1,1,216,27} = 1121627 1171 = {1,1,7,1}^2 = {1,1,49,1} = 11491 {1,1,7,1}^3 = {1,1,343,1} = 113431 1181 = {1,1,8,1}^2 = {1,1,64,1} = 11641 {1,1,8,1}^3 = {1,1,512,1} = 115121 1187 = {1,1,8,7}^2 = {1,1,64,49} = 116449 {1,1,8,7}^3 = {1,1,512,343} = 11512343 1193 = {1,1,9,3}^2 = {1,1,81,9} = 11819 {1,1,9,3}^3 = {1,1,729,27} = 1172927 1201 = {1,2,0,1}^2 = {1,4,0,1} = 1401 {1,2,0,1}^3 = {1,8,0,1} = 1801 1213 = {1,2,1,3}^2 = {1,4,1,9} = 1419 {1,2,1,3}^3 = {1,8,1,27} = 18127 1217 = {1,2,1,7}^2 = {1,4,1,49} = 14149 {1,2,1,7}^3 = {1,8,1,343} = 181343 1223 = {1,2,2,3}^2 = {1,4,4,9} = 1449 {1,2,2,3}^3 = {1,8,8,27} = 18827 1229 = {1,2,2,9}^2 = {1,4,4,81} = 14481 {1,2,2,9}^3 = {1,8,8,729} = 188729 1231 = {1,2,3,1}^2 = {1,4,9,1} = 1491 {1,2,3,1}^3 = {1,8,27,1} = 18271 1237 = {1,2,3,7}^2 = {1,4,9,49} = 14949 {1,2,3,7}^3 = {1,8,27,343} = 1827343 1249 = {1,2,4,9}^2 = {1,4,16,81} = 141681 {1,2,4,9}^3 = {1,8,64,729} = 1864729 1259 = {1,2,5,9}^2 = {1,4,25,81} = 142581 {1,2,5,9}^3 = {1,8,125,729} = 18125729 1277 = {1,2,7,7}^2 = {1,4,49,49} = 144949 {1,2,7,7}^3 = {1,8,343,343} = 18343343 1279 = {1,2,7,9}^2 = {1,4,49,81} = 144981 {1,2,7,9}^3 = {1,8,343,729} = 18343729 1283 = {1,2,8,3}^2 = {1,4,64,9} = 14649 {1,2,8,3}^3 = {1,8,512,27} = 1851227 1289 = {1,2,8,9}^2 = {1,4,64,81} = 146481 {1,2,8,9}^3 = {1,8,512,729} = 18512729 1291 = {1,2,9,1}^2 = {1,4,81,1} = 14811 {1,2,9,1}^3 = {1,8,729,1} = 187291 1297 = {1,2,9,7}^2 = {1,4,81,49} = 148149 {1,2,9,7}^3 = {1,8,729,343} = 18729343 1301 = {1,3,0,1}^2 = {1,9,0,1} = 1901 {1,3,0,1}^3 = {1,27,0,1} = 12701 1303 = {1,3,0,3}^2 = {1,9,0,9} = 1909 {1,3,0,3}^3 = {1,27,0,27} = 127027 1307 = {1,3,0,7}^2 = {1,9,0,49} = 19049 {1,3,0,7}^3 = {1,27,0,343} = 1270343 1319 = {1,3,1,9}^2 = {1,9,1,81} = 19181 {1,3,1,9}^3 = {1,27,1,729} = 1271729 1321 = {1,3,2,1}^2 = {1,9,4,1} = 1941 {1,3,2,1}^3 = {1,27,8,1} = 12781 1327 = {1,3,2,7}^2 = {1,9,4,49} = 19449 {1,3,2,7}^3 = {1,27,8,343} = 1278343 1361 = {1,3,6,1}^2 = {1,9,36,1} = 19361 {1,3,6,1}^3 = {1,27,216,1} = 1272161 1367 = {1,3,6,7}^2 = {1,9,36,49} = 193649 {1,3,6,7}^3 = {1,27,216,343} = 127216343 1373 = {1,3,7,3}^2 = {1,9,49,9} = 19499 {1,3,7,3}^3 = {1,27,343,27} = 12734327 1381 = {1,3,8,1}^2 = {1,9,64,1} = 19641 {1,3,8,1}^3 = {1,27,512,1} = 1275121 1399 = {1,3,9,9}^2 = {1,9,81,81} = 198181 {1,3,9,9}^3 = {1,27,729,729} = 127729729 1409 = {1,4,0,9}^2 = {1,16,0,81} = 116081 {1,4,0,9}^3 = {1,64,0,729} = 1640729 1423 = {1,4,2,3}^2 = {1,16,4,9} = 11649 {1,4,2,3}^3 = {1,64,8,27} = 164827 1427 = {1,4,2,7}^2 = {1,16,4,49} = 116449 {1,4,2,7}^3 = {1,64,8,343} = 1648343 1429 = {1,4,2,9}^2 = {1,16,4,81} = 116481 {1,4,2,9}^3 = {1,64,8,729} = 1648729 1433 = {1,4,3,3}^2 = {1,16,9,9} = 11699 {1,4,3,3}^3 = {1,64,27,27} = 1642727 1439 = {1,4,3,9}^2 = {1,16,9,81} = 116981 {1,4,3,9}^3 = {1,64,27,729} = 16427729 1447 = {1,4,4,7}^2 = {1,16,16,49} = 1161649 {1,4,4,7}^3 = {1,64,64,343} = 16464343 1451 = {1,4,5,1}^2 = {1,16,25,1} = 116251 {1,4,5,1}^3 = {1,64,125,1} = 1641251 1453 = {1,4,5,3}^2 = {1,16,25,9} = 116259 {1,4,5,3}^3 = {1,64,125,27} = 16412527 1459 = {1,4,5,9}^2 = {1,16,25,81} = 1162581 {1,4,5,9}^3 = {1,64,125,729} = 164125729 1471 = {1,4,7,1}^2 = {1,16,49,1} = 116491 {1,4,7,1}^3 = {1,64,343,1} = 1643431 1481 = {1,4,8,1}^2 = {1,16,64,1} = 116641 {1,4,8,1}^3 = {1,64,512,1} = 1645121 1483 = {1,4,8,3}^2 = {1,16,64,9} = 116649 {1,4,8,3}^3 = {1,64,512,27} = 16451227 1487 = {1,4,8,7}^2 = {1,16,64,49} = 1166449 {1,4,8,7}^3 = {1,64,512,343} = 164512343 1489 = {1,4,8,9}^2 = {1,16,64,81} = 1166481 {1,4,8,9}^3 = {1,64,512,729} = 164512729 1493 = {1,4,9,3}^2 = {1,16,81,9} = 116819 {1,4,9,3}^3 = {1,64,729,27} = 16472927 1499 = {1,4,9,9}^2 = {1,16,81,81} = 1168181 {1,4,9,9}^3 = {1,64,729,729} = 164729729 1511 = {1,5,1,1}^2 = {1,25,1,1} = 12511 {1,5,1,1}^3 = {1,125,1,1} = 112511 1523 = {1,5,2,3}^2 = {1,25,4,9} = 12549 {1,5,2,3}^3 = {1,125,8,27} = 1125827 1531 = {1,5,3,1}^2 = {1,25,9,1} = 12591 {1,5,3,1}^3 = {1,125,27,1} = 1125271 1543 = {1,5,4,3}^2 = {1,25,16,9} = 125169 {1,5,4,3}^3 = {1,125,64,27} = 11256427 1549 = {1,5,4,9}^2 = {1,25,16,81} = 1251681 {1,5,4,9}^3 = {1,125,64,729} = 112564729 1553 = {1,5,5,3}^2 = {1,25,25,9} = 125259 {1,5,5,3}^3 = {1,125,125,27} = 112512527 1559 = {1,5,5,9}^2 = {1,25,25,81} = 1252581 {1,5,5,9}^3 = {1,125,125,729} = 1125125729 1567 = {1,5,6,7}^2 = {1,25,36,49} = 1253649 {1,5,6,7}^3 = {1,125,216,343} = 1125216343 1571 = {1,5,7,1}^2 = {1,25,49,1} = 125491 {1,5,7,1}^3 = {1,125,343,1} = 11253431 1579 = {1,5,7,9}^2 = {1,25,49,81} = 1254981 {1,5,7,9}^3 = {1,125,343,729} = 1125343729 1583 = {1,5,8,3}^2 = {1,25,64,9} = 125649 {1,5,8,3}^3 = {1,125,512,27} = 112551227 1597 = {1,5,9,7}^2 = {1,25,81,49} = 1258149 {1,5,9,7}^3 = {1,125,729,343} = 1125729343 1601 = {1,6,0,1}^2 = {1,36,0,1} = 13601 {1,6,0,1}^3 = {1,216,0,1} = 121601 1607 = {1,6,0,7}^2 = {1,36,0,49} = 136049 {1,6,0,7}^3 = {1,216,0,343} = 12160343 1609 = {1,6,0,9}^2 = {1,36,0,81} = 136081 {1,6,0,9}^3 = {1,216,0,729} = 12160729 1613 = {1,6,1,3}^2 = {1,36,1,9} = 13619 {1,6,1,3}^3 = {1,216,1,27} = 1216127 1619 = {1,6,1,9}^2 = {1,36,1,81} = 136181 {1,6,1,9}^3 = {1,216,1,729} = 12161729 1621 = {1,6,2,1}^2 = {1,36,4,1} = 13641 {1,6,2,1}^3 = {1,216,8,1} = 121681 1627 = {1,6,2,7}^2 = {1,36,4,49} = 136449 {1,6,2,7}^3 = {1,216,8,343} = 12168343 1637 = {1,6,3,7}^2 = {1,36,9,49} = 136949 {1,6,3,7}^3 = {1,216,27,343} = 121627343 1657 = {1,6,5,7}^2 = {1,36,25,49} = 1362549 {1,6,5,7}^3 = {1,216,125,343} = 1216125343 1663 = {1,6,6,3}^2 = {1,36,36,9} = 136369 {1,6,6,3}^3 = {1,216,216,27} = 121621627 1667 = {1,6,6,7}^2 = {1,36,36,49} = 1363649 {1,6,6,7}^3 = {1,216,216,343} = 1216216343 1669 = {1,6,6,9}^2 = {1,36,36,81} = 1363681 {1,6,6,9}^3 = {1,216,216,729} = 1216216729 1693 = {1,6,9,3}^2 = {1,36,81,9} = 136819 {1,6,9,3}^3 = {1,216,729,27} = 121672927 1697 = {1,6,9,7}^2 = {1,36,81,49} = 1368149 {1,6,9,7}^3 = {1,216,729,343} = 1216729343 1699 = {1,6,9,9}^2 = {1,36,81,81} = 1368181 {1,6,9,9}^3 = {1,216,729,729} = 1216729729 1709 = {1,7,0,9}^2 = {1,49,0,81} = 149081 {1,7,0,9}^3 = {1,343,0,729} = 13430729 1721 = {1,7,2,1}^2 = {1,49,4,1} = 14941 {1,7,2,1}^3 = {1,343,8,1} = 134381 1723 = {1,7,2,3}^2 = {1,49,4,9} = 14949 {1,7,2,3}^3 = {1,343,8,27} = 1343827 1733 = {1,7,3,3}^2 = {1,49,9,9} = 14999 {1,7,3,3}^3 = {1,343,27,27} = 13432727 1741 = {1,7,4,1}^2 = {1,49,16,1} = 149161 {1,7,4,1}^3 = {1,343,64,1} = 1343641 1747 = {1,7,4,7}^2 = {1,49,16,49} = 1491649 {1,7,4,7}^3 = {1,343,64,343} = 134364343 1753 = {1,7,5,3}^2 = {1,49,25,9} = 149259 {1,7,5,3}^3 = {1,343,125,27} = 134312527 1759 = {1,7,5,9}^2 = {1,49,25,81} = 1492581 {1,7,5,9}^3 = {1,343,125,729} = 1343125729 1777 = {1,7,7,7}^2 = {1,49,49,49} = 1494949 {1,7,7,7}^3 = {1,343,343,343} = 1343343343 1783 = {1,7,8,3}^2 = {1,49,64,9} = 149649 {1,7,8,3}^3 = {1,343,512,27} = 134351227 1787 = {1,7,8,7}^2 = {1,49,64,49} = 1496449 {1,7,8,7}^3 = {1,343,512,343} = 1343512343 1789 = {1,7,8,9}^2 = {1,49,64,81} = 1496481 {1,7,8,9}^3 = {1,343,512,729} = 1343512729 1801 = {1,8,0,1}^2 = {1,64,0,1} = 16401 {1,8,0,1}^3 = {1,512,0,1} = 151201 1811 = {1,8,1,1}^2 = {1,64,1,1} = 16411 {1,8,1,1}^3 = {1,512,1,1} = 151211 1823 = {1,8,2,3}^2 = {1,64,4,9} = 16449 {1,8,2,3}^3 = {1,512,8,27} = 1512827 1831 = {1,8,3,1}^2 = {1,64,9,1} = 16491 {1,8,3,1}^3 = {1,512,27,1} = 1512271 1847 = {1,8,4,7}^2 = {1,64,16,49} = 1641649 {1,8,4,7}^3 = {1,512,64,343} = 151264343 1861 = {1,8,6,1}^2 = {1,64,36,1} = 164361 {1,8,6,1}^3 = {1,512,216,1} = 15122161 1867 = {1,8,6,7}^2 = {1,64,36,49} = 1643649 {1,8,6,7}^3 = {1,512,216,343} = 1512216343 1871 = {1,8,7,1}^2 = {1,64,49,1} = 164491 {1,8,7,1}^3 = {1,512,343,1} = 15123431 1873 = {1,8,7,3}^2 = {1,64,49,9} = 164499 {1,8,7,3}^3 = {1,512,343,27} = 151234327 1877 = {1,8,7,7}^2 = {1,64,49,49} = 1644949 {1,8,7,7}^3 = {1,512,343,343} = 1512343343 1879 = {1,8,7,9}^2 = {1,64,49,81} = 1644981 {1,8,7,9}^3 = {1,512,343,729} = 1512343729 1889 = {1,8,8,9}^2 = {1,64,64,81} = 1646481 {1,8,8,9}^3 = {1,512,512,729} = 1512512729 1901 = {1,9,0,1}^2 = {1,81,0,1} = 18101 {1,9,0,1}^3 = {1,729,0,1} = 172901 1907 = {1,9,0,7}^2 = {1,81,0,49} = 181049 {1,9,0,7}^3 = {1,729,0,343} = 17290343 1913 = {1,9,1,3}^2 = {1,81,1,9} = 18119 {1,9,1,3}^3 = {1,729,1,27} = 1729127 1931 = {1,9,3,1}^2 = {1,81,9,1} = 18191 {1,9,3,1}^3 = {1,729,27,1} = 1729271 1933 = {1,9,3,3}^2 = {1,81,9,9} = 18199 {1,9,3,3}^3 = {1,729,27,27} = 17292727 1949 = {1,9,4,9}^2 = {1,81,16,81} = 1811681 {1,9,4,9}^3 = {1,729,64,729} = 172964729 1951 = {1,9,5,1}^2 = {1,81,25,1} = 181251 {1,9,5,1}^3 = {1,729,125,1} = 17291251 1973 = {1,9,7,3}^2 = {1,81,49,9} = 181499 {1,9,7,3}^3 = {1,729,343,27} = 172934327 1979 = {1,9,7,9}^2 = {1,81,49,81} = 1814981 {1,9,7,9}^3 = {1,729,343,729} = 1729343729 1987 = {1,9,8,7}^2 = {1,81,64,49} = 1816449 {1,9,8,7}^3 = {1,729,512,343} = 1729512343 1993 = {1,9,9,3}^2 = {1,81,81,9} = 181819 {1,9,9,3}^3 = {1,729,729,27} = 172972927 1997 = {1,9,9,7}^2 = {1,81,81,49} = 1818149 {1,9,9,7}^3 = {1,729,729,343} = 1729729343 1999 = {1,9,9,9}^2 = {1,81,81,81} = 1818181 {1,9,9,9}^3 = {1,729,729,729} = 1729729729 2003 = {2,0,0,3}^2 = {4,0,0,9} = 4009 {2,0,0,3}^3 = {8,0,0,27} = 80027 2011 = {2,0,1,1}^2 = {4,0,1,1} = 4011 {2,0,1,1}^3 = {8,0,1,1} = 8011 2017 = {2,0,1,7}^2 = {4,0,1,49} = 40149 {2,0,1,7}^3 = {8,0,1,343} = 801343 2027 = {2,0,2,7}^2 = {4,0,4,49} = 40449 {2,0,2,7}^3 = {8,0,8,343} = 808343 2029 = {2,0,2,9}^2 = {4,0,4,81} = 40481 {2,0,2,9}^3 = {8,0,8,729} = 808729 2039 = {2,0,3,9}^2 = {4,0,9,81} = 40981 {2,0,3,9}^3 = {8,0,27,729} = 8027729 2053 = {2,0,5,3}^2 = {4,0,25,9} = 40259 {2,0,5,3}^3 = {8,0,125,27} = 8012527 2063 = {2,0,6,3}^2 = {4,0,36,9} = 40369 {2,0,6,3}^3 = {8,0,216,27} = 8021627 2069 = {2,0,6,9}^2 = {4,0,36,81} = 403681 {2,0,6,9}^3 = {8,0,216,729} = 80216729 2081 = {2,0,8,1}^2 = {4,0,64,1} = 40641 {2,0,8,1}^3 = {8,0,512,1} = 805121 2083 = {2,0,8,3}^2 = {4,0,64,9} = 40649 {2,0,8,3}^3 = {8,0,512,27} = 8051227 2087 = {2,0,8,7}^2 = {4,0,64,49} = 406449 {2,0,8,7}^3 = {8,0,512,343} = 80512343 2089 = {2,0,8,9}^2 = {4,0,64,81} = 406481 {2,0,8,9}^3 = {8,0,512,729} = 80512729 2099 = {2,0,9,9}^2 = {4,0,81,81} = 408181 {2,0,9,9}^3 = {8,0,729,729} = 80729729 2111 = {2,1,1,1}^2 = {4,1,1,1} = 4111 {2,1,1,1}^3 = {8,1,1,1} = 8111 2113 = {2,1,1,3}^2 = {4,1,1,9} = 4119 {2,1,1,3}^3 = {8,1,1,27} = 81127 2129 = {2,1,2,9}^2 = {4,1,4,81} = 41481 {2,1,2,9}^3 = {8,1,8,729} = 818729 2131 = {2,1,3,1}^2 = {4,1,9,1} = 4191 {2,1,3,1}^3 = {8,1,27,1} = 81271 2137 = {2,1,3,7}^2 = {4,1,9,49} = 41949 {2,1,3,7}^3 = {8,1,27,343} = 8127343 2141 = {2,1,4,1}^2 = {4,1,16,1} = 41161 {2,1,4,1}^3 = {8,1,64,1} = 81641 2143 = {2,1,4,3}^2 = {4,1,16,9} = 41169 {2,1,4,3}^3 = {8,1,64,27} = 816427 2153 = {2,1,5,3}^2 = {4,1,25,9} = 41259 {2,1,5,3}^3 = {8,1,125,27} = 8112527 2161 = {2,1,6,1}^2 = {4,1,36,1} = 41361 {2,1,6,1}^3 = {8,1,216,1} = 812161 2179 = {2,1,7,9}^2 = {4,1,49,81} = 414981 {2,1,7,9}^3 = {8,1,343,729} = 81343729 2203 = {2,2,0,3}^2 = {4,4,0,9} = 4409 {2,2,0,3}^3 = {8,8,0,27} = 88027 2207 = {2,2,0,7}^2 = {4,4,0,49} = 44049 {2,2,0,7}^3 = {8,8,0,343} = 880343 2213 = {2,2,1,3}^2 = {4,4,1,9} = 4419 {2,2,1,3}^3 = {8,8,1,27} = 88127 2221 = {2,2,2,1}^2 = {4,4,4,1} = 4441 {2,2,2,1}^3 = {8,8,8,1} = 8881 2237 = {2,2,3,7}^2 = {4,4,9,49} = 44949 {2,2,3,7}^3 = {8,8,27,343} = 8827343 2239 = {2,2,3,9}^2 = {4,4,9,81} = 44981 {2,2,3,9}^3 = {8,8,27,729} = 8827729 2243 = {2,2,4,3}^2 = {4,4,16,9} = 44169 {2,2,4,3}^3 = {8,8,64,27} = 886427 2251 = {2,2,5,1}^2 = {4,4,25,1} = 44251 {2,2,5,1}^3 = {8,8,125,1} = 881251 2267 = {2,2,6,7}^2 = {4,4,36,49} = 443649 {2,2,6,7}^3 = {8,8,216,343} = 88216343 2269 = {2,2,6,9}^2 = {4,4,36,81} = 443681 {2,2,6,9}^3 = {8,8,216,729} = 88216729 2273 = {2,2,7,3}^2 = {4,4,49,9} = 44499 {2,2,7,3}^3 = {8,8,343,27} = 8834327 2281 = {2,2,8,1}^2 = {4,4,64,1} = 44641 {2,2,8,1}^3 = {8,8,512,1} = 885121 2287 = {2,2,8,7}^2 = {4,4,64,49} = 446449 {2,2,8,7}^3 = {8,8,512,343} = 88512343 2293 = {2,2,9,3}^2 = {4,4,81,9} = 44819 {2,2,9,3}^3 = {8,8,729,27} = 8872927 2297 = {2,2,9,7}^2 = {4,4,81,49} = 448149 {2,2,9,7}^3 = {8,8,729,343} = 88729343 2309 = {2,3,0,9}^2 = {4,9,0,81} = 49081 {2,3,0,9}^3 = {8,27,0,729} = 8270729 2311 = {2,3,1,1}^2 = {4,9,1,1} = 4911 {2,3,1,1}^3 = {8,27,1,1} = 82711 2333 = {2,3,3,3}^2 = {4,9,9,9} = 4999 {2,3,3,3}^3 = {8,27,27,27} = 8272727 2339 = {2,3,3,9}^2 = {4,9,9,81} = 49981 {2,3,3,9}^3 = {8,27,27,729} = 82727729 2341 = {2,3,4,1}^2 = {4,9,16,1} = 49161 {2,3,4,1}^3 = {8,27,64,1} = 827641 2347 = {2,3,4,7}^2 = {4,9,16,49} = 491649 {2,3,4,7}^3 = {8,27,64,343} = 82764343 2351 = {2,3,5,1}^2 = {4,9,25,1} = 49251 {2,3,5,1}^3 = {8,27,125,1} = 8271251 2357 = {2,3,5,7}^2 = {4,9,25,49} = 492549 {2,3,5,7}^3 = {8,27,125,343} = 827125343 2371 = {2,3,7,1}^2 = {4,9,49,1} = 49491 {2,3,7,1}^3 = {8,27,343,1} = 8273431 2377 = {2,3,7,7}^2 = {4,9,49,49} = 494949 {2,3,7,7}^3 = {8,27,343,343} = 827343343 2381 = {2,3,8,1}^2 = {4,9,64,1} = 49641 {2,3,8,1}^3 = {8,27,512,1} = 8275121 2383 = {2,3,8,3}^2 = {4,9,64,9} = 49649 {2,3,8,3}^3 = {8,27,512,27} = 82751227 2389 = {2,3,8,9}^2 = {4,9,64,81} = 496481 {2,3,8,9}^3 = {8,27,512,729} = 827512729 2393 = {2,3,9,3}^2 = {4,9,81,9} = 49819 {2,3,9,3}^3 = {8,27,729,27} = 82772927 2399 = {2,3,9,9}^2 = {4,9,81,81} = 498181 {2,3,9,9}^3 = {8,27,729,729} = 827729729 2411 = {2,4,1,1}^2 = {4,16,1,1} = 41611 {2,4,1,1}^3 = {8,64,1,1} = 86411 2417 = {2,4,1,7}^2 = {4,16,1,49} = 416149 {2,4,1,7}^3 = {8,64,1,343} = 8641343 2423 = {2,4,2,3}^2 = {4,16,4,9} = 41649 {2,4,2,3}^3 = {8,64,8,27} = 864827 2437 = {2,4,3,7}^2 = {4,16,9,49} = 416949 {2,4,3,7}^3 = {8,64,27,343} = 86427343 2441 = {2,4,4,1}^2 = {4,16,16,1} = 416161 {2,4,4,1}^3 = {8,64,64,1} = 864641 2447 = {2,4,4,7}^2 = {4,16,16,49} = 4161649 {2,4,4,7}^3 = {8,64,64,343} = 86464343 2459 = {2,4,5,9}^2 = {4,16,25,81} = 4162581 {2,4,5,9}^3 = {8,64,125,729} = 864125729 2467 = {2,4,6,7}^2 = {4,16,36,49} = 4163649 {2,4,6,7}^3 = {8,64,216,343} = 864216343 2473 = {2,4,7,3}^2 = {4,16,49,9} = 416499 {2,4,7,3}^3 = {8,64,343,27} = 86434327 2477 = {2,4,7,7}^2 = {4,16,49,49} = 4164949 {2,4,7,7}^3 = {8,64,343,343} = 864343343 2503 = {2,5,0,3}^2 = {4,25,0,9} = 42509 {2,5,0,3}^3 = {8,125,0,27} = 8125027 2521 = {2,5,2,1}^2 = {4,25,4,1} = 42541 {2,5,2,1}^3 = {8,125,8,1} = 812581 2531 = {2,5,3,1}^2 = {4,25,9,1} = 42591 {2,5,3,1}^3 = {8,125,27,1} = 8125271 2539 = {2,5,3,9}^2 = {4,25,9,81} = 425981 {2,5,3,9}^3 = {8,125,27,729} = 812527729 2543 = {2,5,4,3}^2 = {4,25,16,9} = 425169 {2,5,4,3}^3 = {8,125,64,27} = 81256427 2549 = {2,5,4,9}^2 = {4,25,16,81} = 4251681 {2,5,4,9}^3 = {8,125,64,729} = 812564729 2551 = {2,5,5,1}^2 = {4,25,25,1} = 425251 {2,5,5,1}^3 = {8,125,125,1} = 81251251 2557 = {2,5,5,7}^2 = {4,25,25,49} = 4252549 {2,5,5,7}^3 = {8,125,125,343} = 8125125343 2579 = {2,5,7,9}^2 = {4,25,49,81} = 4254981 {2,5,7,9}^3 = {8,125,343,729} = 8125343729 2591 = {2,5,9,1}^2 = {4,25,81,1} = 425811 {2,5,9,1}^3 = {8,125,729,1} = 81257291 2593 = {2,5,9,3}^2 = {4,25,81,9} = 425819 {2,5,9,3}^3 = {8,125,729,27} = 812572927 2609 = {2,6,0,9}^2 = {4,36,0,81} = 436081 {2,6,0,9}^3 = {8,216,0,729} = 82160729 2617 = {2,6,1,7}^2 = {4,36,1,49} = 436149 {2,6,1,7}^3 = {8,216,1,343} = 82161343 2621 = {2,6,2,1}^2 = {4,36,4,1} = 43641 {2,6,2,1}^3 = {8,216,8,1} = 821681 2633 = {2,6,3,3}^2 = {4,36,9,9} = 43699 {2,6,3,3}^3 = {8,216,27,27} = 82162727 2647 = {2,6,4,7}^2 = {4,36,16,49} = 4361649 {2,6,4,7}^3 = {8,216,64,343} = 821664343 2657 = {2,6,5,7}^2 = {4,36,25,49} = 4362549 {2,6,5,7}^3 = {8,216,125,343} = 8216125343 2659 = {2,6,5,9}^2 = {4,36,25,81} = 4362581 {2,6,5,9}^3 = {8,216,125,729} = 8216125729 2663 = {2,6,6,3}^2 = {4,36,36,9} = 436369 {2,6,6,3}^3 = {8,216,216,27} = 821621627 2671 = {2,6,7,1}^2 = {4,36,49,1} = 436491 {2,6,7,1}^3 = {8,216,343,1} = 82163431 2677 = {2,6,7,7}^2 = {4,36,49,49} = 4364949 {2,6,7,7}^3 = {8,216,343,343} = 8216343343 2683 = {2,6,8,3}^2 = {4,36,64,9} = 436649 {2,6,8,3}^3 = {8,216,512,27} = 821651227 2687 = {2,6,8,7}^2 = {4,36,64,49} = 4366449 {2,6,8,7}^3 = {8,216,512,343} = 8216512343 2689 = {2,6,8,9}^2 = {4,36,64,81} = 4366481 {2,6,8,9}^3 = {8,216,512,729} = 8216512729 2693 = {2,6,9,3}^2 = {4,36,81,9} = 436819 {2,6,9,3}^3 = {8,216,729,27} = 821672927 2699 = {2,6,9,9}^2 = {4,36,81,81} = 4368181 {2,6,9,9}^3 = {8,216,729,729} = 8216729729 2707 = {2,7,0,7}^2 = {4,49,0,49} = 449049 {2,7,0,7}^3 = {8,343,0,343} = 83430343 2711 = {2,7,1,1}^2 = {4,49,1,1} = 44911 {2,7,1,1}^3 = {8,343,1,1} = 834311 2713 = {2,7,1,3}^2 = {4,49,1,9} = 44919 {2,7,1,3}^3 = {8,343,1,27} = 8343127 2719 = {2,7,1,9}^2 = {4,49,1,81} = 449181 {2,7,1,9}^3 = {8,343,1,729} = 83431729 2729 = {2,7,2,9}^2 = {4,49,4,81} = 449481 {2,7,2,9}^3 = {8,343,8,729} = 83438729 2731 = {2,7,3,1}^2 = {4,49,9,1} = 44991 {2,7,3,1}^3 = {8,343,27,1} = 8343271 2741 = {2,7,4,1}^2 = {4,49,16,1} = 449161 {2,7,4,1}^3 = {8,343,64,1} = 8343641 2749 = {2,7,4,9}^2 = {4,49,16,81} = 4491681 {2,7,4,9}^3 = {8,343,64,729} = 834364729 2753 = {2,7,5,3}^2 = {4,49,25,9} = 449259 {2,7,5,3}^3 = {8,343,125,27} = 834312527 2767 = {2,7,6,7}^2 = {4,49,36,49} = 4493649 {2,7,6,7}^3 = {8,343,216,343} = 8343216343 2777 = {2,7,7,7}^2 = {4,49,49,49} = 4494949 {2,7,7,7}^3 = {8,343,343,343} = 8343343343 2789 = {2,7,8,9}^2 = {4,49,64,81} = 4496481 {2,7,8,9}^3 = {8,343,512,729} = 8343512729 2791 = {2,7,9,1}^2 = {4,49,81,1} = 449811 {2,7,9,1}^3 = {8,343,729,1} = 83437291 2797 = {2,7,9,7}^2 = {4,49,81,49} = 4498149 {2,7,9,7}^3 = {8,343,729,343} = 8343729343 2801 = {2,8,0,1}^2 = {4,64,0,1} = 46401 {2,8,0,1}^3 = {8,512,0,1} = 851201 2803 = {2,8,0,3}^2 = {4,64,0,9} = 46409 {2,8,0,3}^3 = {8,512,0,27} = 8512027 2819 = {2,8,1,9}^2 = {4,64,1,81} = 464181 {2,8,1,9}^3 = {8,512,1,729} = 85121729 2833 = {2,8,3,3}^2 = {4,64,9,9} = 46499 {2,8,3,3}^3 = {8,512,27,27} = 85122727 2837 = {2,8,3,7}^2 = {4,64,9,49} = 464949 {2,8,3,7}^3 = {8,512,27,343} = 851227343 2843 = {2,8,4,3}^2 = {4,64,16,9} = 464169 {2,8,4,3}^3 = {8,512,64,27} = 85126427 2851 = {2,8,5,1}^2 = {4,64,25,1} = 464251 {2,8,5,1}^3 = {8,512,125,1} = 85121251 2857 = {2,8,5,7}^2 = {4,64,25,49} = 4642549 {2,8,5,7}^3 = {8,512,125,343} = 8512125343 2861 = {2,8,6,1}^2 = {4,64,36,1} = 464361 {2,8,6,1}^3 = {8,512,216,1} = 85122161 2879 = {2,8,7,9}^2 = {4,64,49,81} = 4644981 {2,8,7,9}^3 = {8,512,343,729} = 8512343729 2887 = {2,8,8,7}^2 = {4,64,64,49} = 4646449 {2,8,8,7}^3 = {8,512,512,343} = 8512512343 2897 = {2,8,9,7}^2 = {4,64,81,49} = 4648149 {2,8,9,7}^3 = {8,512,729,343} = 8512729343 2903 = {2,9,0,3}^2 = {4,81,0,9} = 48109 {2,9,0,3}^3 = {8,729,0,27} = 8729027 2909 = {2,9,0,9}^2 = {4,81,0,81} = 481081 {2,9,0,9}^3 = {8,729,0,729} = 87290729 2917 = {2,9,1,7}^2 = {4,81,1,49} = 481149 {2,9,1,7}^3 = {8,729,1,343} = 87291343 2927 = {2,9,2,7}^2 = {4,81,4,49} = 481449 {2,9,2,7}^3 = {8,729,8,343} = 87298343 2939 = {2,9,3,9}^2 = {4,81,9,81} = 481981 {2,9,3,9}^3 = {8,729,27,729} = 872927729 2953 = {2,9,5,3}^2 = {4,81,25,9} = 481259 {2,9,5,3}^3 = {8,729,125,27} = 872912527 2957 = {2,9,5,7}^2 = {4,81,25,49} = 4812549 {2,9,5,7}^3 = {8,729,125,343} = 8729125343 2963 = {2,9,6,3}^2 = {4,81,36,9} = 481369 {2,9,6,3}^3 = {8,729,216,27} = 872921627 2969 = {2,9,6,9}^2 = {4,81,36,81} = 4813681 {2,9,6,9}^3 = {8,729,216,729} = 8729216729 2971 = {2,9,7,1}^2 = {4,81,49,1} = 481491 {2,9,7,1}^3 = {8,729,343,1} = 87293431 2999 = {2,9,9,9}^2 = {4,81,81,81} = 4818181 {2,9,9,9}^3 = {8,729,729,729} = 8729729729 3001 = {3,0,0,1}^2 = {9,0,0,1} = 9001 {3,0,0,1}^3 = {27,0,0,1} = 27001 3011 = {3,0,1,1}^2 = {9,0,1,1} = 9011 {3,0,1,1}^3 = {27,0,1,1} = 27011 3019 = {3,0,1,9}^2 = {9,0,1,81} = 90181 {3,0,1,9}^3 = {27,0,1,729} = 2701729 3023 = {3,0,2,3}^2 = {9,0,4,9} = 9049 {3,0,2,3}^3 = {27,0,8,27} = 270827 3037 = {3,0,3,7}^2 = {9,0,9,49} = 90949 {3,0,3,7}^3 = {27,0,27,343} = 27027343 3041 = {3,0,4,1}^2 = {9,0,16,1} = 90161 {3,0,4,1}^3 = {27,0,64,1} = 270641 3049 = {3,0,4,9}^2 = {9,0,16,81} = 901681 {3,0,4,9}^3 = {27,0,64,729} = 27064729 3061 = {3,0,6,1}^2 = {9,0,36,1} = 90361 {3,0,6,1}^3 = {27,0,216,1} = 2702161 3067 = {3,0,6,7}^2 = {9,0,36,49} = 903649 {3,0,6,7}^3 = {27,0,216,343} = 270216343 3079 = {3,0,7,9}^2 = {9,0,49,81} = 904981 {3,0,7,9}^3 = {27,0,343,729} = 270343729 3083 = {3,0,8,3}^2 = {9,0,64,9} = 90649 {3,0,8,3}^3 = {27,0,512,27} = 27051227 3089 = {3,0,8,9}^2 = {9,0,64,81} = 906481 {3,0,8,9}^3 = {27,0,512,729} = 270512729 3109 = {3,1,0,9}^2 = {9,1,0,81} = 91081 {3,1,0,9}^3 = {27,1,0,729} = 2710729 3119 = {3,1,1,9}^2 = {9,1,1,81} = 91181 {3,1,1,9}^3 = {27,1,1,729} = 2711729 3121 = {3,1,2,1}^2 = {9,1,4,1} = 9141 {3,1,2,1}^3 = {27,1,8,1} = 27181 3137 = {3,1,3,7}^2 = {9,1,9,49} = 91949 {3,1,3,7}^3 = {27,1,27,343} = 27127343 3163 = {3,1,6,3}^2 = {9,1,36,9} = 91369 {3,1,6,3}^3 = {27,1,216,27} = 27121627 3167 = {3,1,6,7}^2 = {9,1,36,49} = 913649 {3,1,6,7}^3 = {27,1,216,343} = 271216343 3169 = {3,1,6,9}^2 = {9,1,36,81} = 913681 {3,1,6,9}^3 = {27,1,216,729} = 271216729 3181 = {3,1,8,1}^2 = {9,1,64,1} = 91641 {3,1,8,1}^3 = {27,1,512,1} = 2715121 3187 = {3,1,8,7}^2 = {9,1,64,49} = 916449 {3,1,8,7}^3 = {27,1,512,343} = 271512343 3191 = {3,1,9,1}^2 = {9,1,81,1} = 91811 {3,1,9,1}^3 = {27,1,729,1} = 2717291 3203 = {3,2,0,3}^2 = {9,4,0,9} = 9409 {3,2,0,3}^3 = {27,8,0,27} = 278027 3209 = {3,2,0,9}^2 = {9,4,0,81} = 94081 {3,2,0,9}^3 = {27,8,0,729} = 2780729 3217 = {3,2,1,7}^2 = {9,4,1,49} = 94149 {3,2,1,7}^3 = {27,8,1,343} = 2781343 3221 = {3,2,2,1}^2 = {9,4,4,1} = 9441 {3,2,2,1}^3 = {27,8,8,1} = 27881 3229 = {3,2,2,9}^2 = {9,4,4,81} = 94481 {3,2,2,9}^3 = {27,8,8,729} = 2788729 3251 = {3,2,5,1}^2 = {9,4,25,1} = 94251 {3,2,5,1}^3 = {27,8,125,1} = 2781251 3253 = {3,2,5,3}^2 = {9,4,25,9} = 94259 {3,2,5,3}^3 = {27,8,125,27} = 27812527 3257 = {3,2,5,7}^2 = {9,4,25,49} = 942549 {3,2,5,7}^3 = {27,8,125,343} = 278125343 3259 = {3,2,5,9}^2 = {9,4,25,81} = 942581 {3,2,5,9}^3 = {27,8,125,729} = 278125729 3271 = {3,2,7,1}^2 = {9,4,49,1} = 94491 {3,2,7,1}^3 = {27,8,343,1} = 2783431 3299 = {3,2,9,9}^2 = {9,4,81,81} = 948181 {3,2,9,9}^3 = {27,8,729,729} = 278729729 3301 = {3,3,0,1}^2 = {9,9,0,1} = 9901 {3,3,0,1}^3 = {27,27,0,1} = 272701 3307 = {3,3,0,7}^2 = {9,9,0,49} = 99049 {3,3,0,7}^3 = {27,27,0,343} = 27270343 3313 = {3,3,1,3}^2 = {9,9,1,9} = 9919 {3,3,1,3}^3 = {27,27,1,27} = 2727127 3319 = {3,3,1,9}^2 = {9,9,1,81} = 99181 {3,3,1,9}^3 = {27,27,1,729} = 27271729 3323 = {3,3,2,3}^2 = {9,9,4,9} = 9949 {3,3,2,3}^3 = {27,27,8,27} = 2727827 3329 = {3,3,2,9}^2 = {9,9,4,81} = 99481 {3,3,2,9}^3 = {27,27,8,729} = 27278729 3331 = {3,3,3,1}^2 = {9,9,9,1} = 9991 {3,3,3,1}^3 = {27,27,27,1} = 2727271 3343 = {3,3,4,3}^2 = {9,9,16,9} = 99169 {3,3,4,3}^3 = {27,27,64,27} = 27276427 3347 = {3,3,4,7}^2 = {9,9,16,49} = 991649 {3,3,4,7}^3 = {27,27,64,343} = 272764343 3359 = {3,3,5,9}^2 = {9,9,25,81} = 992581 {3,3,5,9}^3 = {27,27,125,729} = 2727125729 3361 = {3,3,6,1}^2 = {9,9,36,1} = 99361 {3,3,6,1}^3 = {27,27,216,1} = 27272161 3371 = {3,3,7,1}^2 = {9,9,49,1} = 99491 {3,3,7,1}^3 = {27,27,343,1} = 27273431 3373 = {3,3,7,3}^2 = {9,9,49,9} = 99499 {3,3,7,3}^3 = {27,27,343,27} = 272734327 3389 = {3,3,8,9}^2 = {9,9,64,81} = 996481 {3,3,8,9}^3 = {27,27,512,729} = 2727512729 3391 = {3,3,9,1}^2 = {9,9,81,1} = 99811 {3,3,9,1}^3 = {27,27,729,1} = 27277291 3407 = {3,4,0,7}^2 = {9,16,0,49} = 916049 {3,4,0,7}^3 = {27,64,0,343} = 27640343 3413 = {3,4,1,3}^2 = {9,16,1,9} = 91619 {3,4,1,3}^3 = {27,64,1,27} = 2764127 3433 = {3,4,3,3}^2 = {9,16,9,9} = 91699 {3,4,3,3}^3 = {27,64,27,27} = 27642727 3449 = {3,4,4,9}^2 = {9,16,16,81} = 9161681 {3,4,4,9}^3 = {27,64,64,729} = 276464729 3457 = {3,4,5,7}^2 = {9,16,25,49} = 9162549 {3,4,5,7}^3 = {27,64,125,343} = 2764125343 3461 = {3,4,6,1}^2 = {9,16,36,1} = 916361 {3,4,6,1}^3 = {27,64,216,1} = 27642161 3463 = {3,4,6,3}^2 = {9,16,36,9} = 916369 {3,4,6,3}^3 = {27,64,216,27} = 276421627 3467 = {3,4,6,7}^2 = {9,16,36,49} = 9163649 {3,4,6,7}^3 = {27,64,216,343} = 2764216343 3469 = {3,4,6,9}^2 = {9,16,36,81} = 9163681 {3,4,6,9}^3 = {27,64,216,729} = 2764216729 3491 = {3,4,9,1}^2 = {9,16,81,1} = 916811 {3,4,9,1}^3 = {27,64,729,1} = 27647291 3499 = {3,4,9,9}^2 = {9,16,81,81} = 9168181 {3,4,9,9}^3 = {27,64,729,729} = 2764729729 3511 = {3,5,1,1}^2 = {9,25,1,1} = 92511 {3,5,1,1}^3 = {27,125,1,1} = 2712511 3517 = {3,5,1,7}^2 = {9,25,1,49} = 925149 {3,5,1,7}^3 = {27,125,1,343} = 271251343 3527 = {3,5,2,7}^2 = {9,25,4,49} = 925449 {3,5,2,7}^3 = {27,125,8,343} = 271258343 3529 = {3,5,2,9}^2 = {9,25,4,81} = 925481 {3,5,2,9}^3 = {27,125,8,729} = 271258729 3533 = {3,5,3,3}^2 = {9,25,9,9} = 92599 {3,5,3,3}^3 = {27,125,27,27} = 271252727 3539 = {3,5,3,9}^2 = {9,25,9,81} = 925981 {3,5,3,9}^3 = {27,125,27,729} = 2712527729 3541 = {3,5,4,1}^2 = {9,25,16,1} = 925161 {3,5,4,1}^3 = {27,125,64,1} = 27125641 3547 = {3,5,4,7}^2 = {9,25,16,49} = 9251649 {3,5,4,7}^3 = {27,125,64,343} = 2712564343 3557 = {3,5,5,7}^2 = {9,25,25,49} = 9252549 {3,5,5,7}^3 = {27,125,125,343} = 27125125343 3559 = {3,5,5,9}^2 = {9,25,25,81} = 9252581 {3,5,5,9}^3 = {27,125,125,729} = 27125125729 3571 = {3,5,7,1}^2 = {9,25,49,1} = 925491 {3,5,7,1}^3 = {27,125,343,1} = 271253431 3581 = {3,5,8,1}^2 = {9,25,64,1} = 925641 {3,5,8,1}^3 = {27,125,512,1} = 271255121 3583 = {3,5,8,3}^2 = {9,25,64,9} = 925649 {3,5,8,3}^3 = {27,125,512,27} = 2712551227 3593 = {3,5,9,3}^2 = {9,25,81,9} = 925819 {3,5,9,3}^3 = {27,125,729,27} = 2712572927 3607 = {3,6,0,7}^2 = {9,36,0,49} = 936049 {3,6,0,7}^3 = {27,216,0,343} = 272160343 3613 = {3,6,1,3}^2 = {9,36,1,9} = 93619 {3,6,1,3}^3 = {27,216,1,27} = 27216127 3617 = {3,6,1,7}^2 = {9,36,1,49} = 936149 {3,6,1,7}^3 = {27,216,1,343} = 272161343 3623 = {3,6,2,3}^2 = {9,36,4,9} = 93649 {3,6,2,3}^3 = {27,216,8,27} = 27216827 3631 = {3,6,3,1}^2 = {9,36,9,1} = 93691 {3,6,3,1}^3 = {27,216,27,1} = 27216271 3637 = {3,6,3,7}^2 = {9,36,9,49} = 936949 {3,6,3,7}^3 = {27,216,27,343} = 2721627343 3643 = {3,6,4,3}^2 = {9,36,16,9} = 936169 {3,6,4,3}^3 = {27,216,64,27} = 272166427 3659 = {3,6,5,9}^2 = {9,36,25,81} = 9362581 {3,6,5,9}^3 = {27,216,125,729} = 27216125729 3671 = {3,6,7,1}^2 = {9,36,49,1} = 936491 {3,6,7,1}^3 = {27,216,343,1} = 272163431 3673 = {3,6,7,3}^2 = {9,36,49,9} = 936499 {3,6,7,3}^3 = {27,216,343,27} = 2721634327 3677 = {3,6,7,7}^2 = {9,36,49,49} = 9364949 {3,6,7,7}^3 = {27,216,343,343} = 27216343343 3691 = {3,6,9,1}^2 = {9,36,81,1} = 936811 {3,6,9,1}^3 = {27,216,729,1} = 272167291 3697 = {3,6,9,7}^2 = {9,36,81,49} = 9368149 {3,6,9,7}^3 = {27,216,729,343} = 27216729343 3701 = {3,7,0,1}^2 = {9,49,0,1} = 94901 {3,7,0,1}^3 = {27,343,0,1} = 2734301 3709 = {3,7,0,9}^2 = {9,49,0,81} = 949081 {3,7,0,9}^3 = {27,343,0,729} = 273430729 3719 = {3,7,1,9}^2 = {9,49,1,81} = 949181 {3,7,1,9}^3 = {27,343,1,729} = 273431729 3727 = {3,7,2,7}^2 = {9,49,4,49} = 949449 {3,7,2,7}^3 = {27,343,8,343} = 273438343 3733 = {3,7,3,3}^2 = {9,49,9,9} = 94999 {3,7,3,3}^3 = {27,343,27,27} = 273432727 3739 = {3,7,3,9}^2 = {9,49,9,81} = 949981 {3,7,3,9}^3 = {27,343,27,729} = 2734327729 3761 = {3,7,6,1}^2 = {9,49,36,1} = 949361 {3,7,6,1}^3 = {27,343,216,1} = 273432161 3767 = {3,7,6,7}^2 = {9,49,36,49} = 9493649 {3,7,6,7}^3 = {27,343,216,343} = 27343216343 3769 = {3,7,6,9}^2 = {9,49,36,81} = 9493681 {3,7,6,9}^3 = {27,343,216,729} = 27343216729 3779 = {3,7,7,9}^2 = {9,49,49,81} = 9494981 {3,7,7,9}^3 = {27,343,343,729} = 27343343729 3793 = {3,7,9,3}^2 = {9,49,81,9} = 949819 {3,7,9,3}^3 = {27,343,729,27} = 2734372927 3797 = {3,7,9,7}^2 = {9,49,81,49} = 9498149 {3,7,9,7}^3 = {27,343,729,343} = 27343729343 3803 = {3,8,0,3}^2 = {9,64,0,9} = 96409 {3,8,0,3}^3 = {27,512,0,27} = 27512027 3821 = {3,8,2,1}^2 = {9,64,4,1} = 96441 {3,8,2,1}^3 = {27,512,8,1} = 2751281 3823 = {3,8,2,3}^2 = {9,64,4,9} = 96449 {3,8,2,3}^3 = {27,512,8,27} = 27512827 3833 = {3,8,3,3}^2 = {9,64,9,9} = 96499 {3,8,3,3}^3 = {27,512,27,27} = 275122727 3847 = {3,8,4,7}^2 = {9,64,16,49} = 9641649 {3,8,4,7}^3 = {27,512,64,343} = 2751264343 3851 = {3,8,5,1}^2 = {9,64,25,1} = 964251 {3,8,5,1}^3 = {27,512,125,1} = 275121251 3853 = {3,8,5,3}^2 = {9,64,25,9} = 964259 {3,8,5,3}^3 = {27,512,125,27} = 2751212527 3863 = {3,8,6,3}^2 = {9,64,36,9} = 964369 {3,8,6,3}^3 = {27,512,216,27} = 2751221627 3877 = {3,8,7,7}^2 = {9,64,49,49} = 9644949 {3,8,7,7}^3 = {27,512,343,343} = 27512343343 3881 = {3,8,8,1}^2 = {9,64,64,1} = 964641 {3,8,8,1}^3 = {27,512,512,1} = 275125121 3889 = {3,8,8,9}^2 = {9,64,64,81} = 9646481 {3,8,8,9}^3 = {27,512,512,729} = 27512512729 3907 = {3,9,0,7}^2 = {9,81,0,49} = 981049 {3,9,0,7}^3 = {27,729,0,343} = 277290343 3911 = {3,9,1,1}^2 = {9,81,1,1} = 98111 {3,9,1,1}^3 = {27,729,1,1} = 2772911 3917 = {3,9,1,7}^2 = {9,81,1,49} = 981149 {3,9,1,7}^3 = {27,729,1,343} = 277291343 3919 = {3,9,1,9}^2 = {9,81,1,81} = 981181 {3,9,1,9}^3 = {27,729,1,729} = 277291729 3923 = {3,9,2,3}^2 = {9,81,4,9} = 98149 {3,9,2,3}^3 = {27,729,8,27} = 27729827 3929 = {3,9,2,9}^2 = {9,81,4,81} = 981481 {3,9,2,9}^3 = {27,729,8,729} = 277298729 3931 = {3,9,3,1}^2 = {9,81,9,1} = 98191 {3,9,3,1}^3 = {27,729,27,1} = 27729271 3943 = {3,9,4,3}^2 = {9,81,16,9} = 981169 {3,9,4,3}^3 = {27,729,64,27} = 277296427 3947 = {3,9,4,7}^2 = {9,81,16,49} = 9811649 {3,9,4,7}^3 = {27,729,64,343} = 2772964343 3967 = {3,9,6,7}^2 = {9,81,36,49} = 9813649 {3,9,6,7}^3 = {27,729,216,343} = 27729216343 3989 = {3,9,8,9}^2 = {9,81,64,81} = 9816481 {3,9,8,9}^3 = {27,729,512,729} = 27729512729 4001 = {4,0,0,1}^2 = {16,0,0,1} = 16001 {4,0,0,1}^3 = {64,0,0,1} = 64001 4003 = {4,0,0,3}^2 = {16,0,0,9} = 16009 {4,0,0,3}^3 = {64,0,0,27} = 640027 4007 = {4,0,0,7}^2 = {16,0,0,49} = 160049 {4,0,0,7}^3 = {64,0,0,343} = 6400343 4013 = {4,0,1,3}^2 = {16,0,1,9} = 16019 {4,0,1,3}^3 = {64,0,1,27} = 640127 4019 = {4,0,1,9}^2 = {16,0,1,81} = 160181 {4,0,1,9}^3 = {64,0,1,729} = 6401729 4021 = {4,0,2,1}^2 = {16,0,4,1} = 16041 {4,0,2,1}^3 = {64,0,8,1} = 64081 4027 = {4,0,2,7}^2 = {16,0,4,49} = 160449 {4,0,2,7}^3 = {64,0,8,343} = 6408343 4049 = {4,0,4,9}^2 = {16,0,16,81} = 1601681 {4,0,4,9}^3 = {64,0,64,729} = 64064729 4051 = {4,0,5,1}^2 = {16,0,25,1} = 160251 {4,0,5,1}^3 = {64,0,125,1} = 6401251 4057 = {4,0,5,7}^2 = {16,0,25,49} = 1602549 {4,0,5,7}^3 = {64,0,125,343} = 640125343 4073 = {4,0,7,3}^2 = {16,0,49,9} = 160499 {4,0,7,3}^3 = {64,0,343,27} = 64034327 4079 = {4,0,7,9}^2 = {16,0,49,81} = 1604981 {4,0,7,9}^3 = {64,0,343,729} = 640343729 4091 = {4,0,9,1}^2 = {16,0,81,1} = 160811 {4,0,9,1}^3 = {64,0,729,1} = 6407291 4093 = {4,0,9,3}^2 = {16,0,81,9} = 160819 {4,0,9,3}^3 = {64,0,729,27} = 64072927 4099 = {4,0,9,9}^2 = {16,0,81,81} = 1608181 {4,0,9,9}^3 = {64,0,729,729} = 640729729 4111 = {4,1,1,1}^2 = {16,1,1,1} = 16111 {4,1,1,1}^3 = {64,1,1,1} = 64111 4127 = {4,1,2,7}^2 = {16,1,4,49} = 161449 {4,1,2,7}^3 = {64,1,8,343} = 6418343 4129 = {4,1,2,9}^2 = {16,1,4,81} = 161481 {4,1,2,9}^3 = {64,1,8,729} = 6418729 4133 = {4,1,3,3}^2 = {16,1,9,9} = 16199 {4,1,3,3}^3 = {64,1,27,27} = 6412727 4139 = {4,1,3,9}^2 = {16,1,9,81} = 161981 {4,1,3,9}^3 = {64,1,27,729} = 64127729 4153 = {4,1,5,3}^2 = {16,1,25,9} = 161259 {4,1,5,3}^3 = {64,1,125,27} = 64112527 4157 = {4,1,5,7}^2 = {16,1,25,49} = 1612549 {4,1,5,7}^3 = {64,1,125,343} = 641125343 4159 = {4,1,5,9}^2 = {16,1,25,81} = 1612581 {4,1,5,9}^3 = {64,1,125,729} = 641125729 4177 = {4,1,7,7}^2 = {16,1,49,49} = 1614949 {4,1,7,7}^3 = {64,1,343,343} = 641343343 4201 = {4,2,0,1}^2 = {16,4,0,1} = 16401 {4,2,0,1}^3 = {64,8,0,1} = 64801 4211 = {4,2,1,1}^2 = {16,4,1,1} = 16411 {4,2,1,1}^3 = {64,8,1,1} = 64811 4217 = {4,2,1,7}^2 = {16,4,1,49} = 164149 {4,2,1,7}^3 = {64,8,1,343} = 6481343 4219 = {4,2,1,9}^2 = {16,4,1,81} = 164181 {4,2,1,9}^3 = {64,8,1,729} = 6481729 4229 = {4,2,2,9}^2 = {16,4,4,81} = 164481 {4,2,2,9}^3 = {64,8,8,729} = 6488729 4231 = {4,2,3,1}^2 = {16,4,9,1} = 16491 {4,2,3,1}^3 = {64,8,27,1} = 648271 4241 = {4,2,4,1}^2 = {16,4,16,1} = 164161 {4,2,4,1}^3 = {64,8,64,1} = 648641 4243 = {4,2,4,3}^2 = {16,4,16,9} = 164169 {4,2,4,3}^3 = {64,8,64,27} = 6486427 4253 = {4,2,5,3}^2 = {16,4,25,9} = 164259 {4,2,5,3}^3 = {64,8,125,27} = 64812527 4259 = {4,2,5,9}^2 = {16,4,25,81} = 1642581 {4,2,5,9}^3 = {64,8,125,729} = 648125729 4261 = {4,2,6,1}^2 = {16,4,36,1} = 164361 {4,2,6,1}^3 = {64,8,216,1} = 6482161 4271 = {4,2,7,1}^2 = {16,4,49,1} = 164491 {4,2,7,1}^3 = {64,8,343,1} = 6483431 4273 = {4,2,7,3}^2 = {16,4,49,9} = 164499 {4,2,7,3}^3 = {64,8,343,27} = 64834327 4283 = {4,2,8,3}^2 = {16,4,64,9} = 164649 {4,2,8,3}^3 = {64,8,512,27} = 64851227 4289 = {4,2,8,9}^2 = {16,4,64,81} = 1646481 {4,2,8,9}^3 = {64,8,512,729} = 648512729 4297 = {4,2,9,7}^2 = {16,4,81,49} = 1648149 {4,2,9,7}^3 = {64,8,729,343} = 648729343 4327 = {4,3,2,7}^2 = {16,9,4,49} = 169449 {4,3,2,7}^3 = {64,27,8,343} = 64278343 4337 = {4,3,3,7}^2 = {16,9,9,49} = 169949 {4,3,3,7}^3 = {64,27,27,343} = 642727343 4339 = {4,3,3,9}^2 = {16,9,9,81} = 169981 {4,3,3,9}^3 = {64,27,27,729} = 642727729 4349 = {4,3,4,9}^2 = {16,9,16,81} = 1691681 {4,3,4,9}^3 = {64,27,64,729} = 642764729 4357 = {4,3,5,7}^2 = {16,9,25,49} = 1692549 {4,3,5,7}^3 = {64,27,125,343} = 6427125343 4363 = {4,3,6,3}^2 = {16,9,36,9} = 169369 {4,3,6,3}^3 = {64,27,216,27} = 642721627 4373 = {4,3,7,3}^2 = {16,9,49,9} = 169499 {4,3,7,3}^3 = {64,27,343,27} = 642734327 4391 = {4,3,9,1}^2 = {16,9,81,1} = 169811 {4,3,9,1}^3 = {64,27,729,1} = 64277291 4397 = {4,3,9,7}^2 = {16,9,81,49} = 1698149 {4,3,9,7}^3 = {64,27,729,343} = 6427729343 4409 = {4,4,0,9}^2 = {16,16,0,81} = 1616081 {4,4,0,9}^3 = {64,64,0,729} = 64640729 4421 = {4,4,2,1}^2 = {16,16,4,1} = 161641 {4,4,2,1}^3 = {64,64,8,1} = 646481 4423 = {4,4,2,3}^2 = {16,16,4,9} = 161649 {4,4,2,3}^3 = {64,64,8,27} = 6464827 4441 = {4,4,4,1}^2 = {16,16,16,1} = 1616161 {4,4,4,1}^3 = {64,64,64,1} = 6464641 4447 = {4,4,4,7}^2 = {16,16,16,49} = 16161649 {4,4,4,7}^3 = {64,64,64,343} = 646464343 4451 = {4,4,5,1}^2 = {16,16,25,1} = 1616251 {4,4,5,1}^3 = {64,64,125,1} = 64641251 4457 = {4,4,5,7}^2 = {16,16,25,49} = 16162549 {4,4,5,7}^3 = {64,64,125,343} = 6464125343 4463 = {4,4,6,3}^2 = {16,16,36,9} = 1616369 {4,4,6,3}^3 = {64,64,216,27} = 646421627 4481 = {4,4,8,1}^2 = {16,16,64,1} = 1616641 {4,4,8,1}^3 = {64,64,512,1} = 64645121 4483 = {4,4,8,3}^2 = {16,16,64,9} = 1616649 {4,4,8,3}^3 = {64,64,512,27} = 646451227 4493 = {4,4,9,3}^2 = {16,16,81,9} = 1616819 {4,4,9,3}^3 = {64,64,729,27} = 646472927 4507 = {4,5,0,7}^2 = {16,25,0,49} = 1625049 {4,5,0,7}^3 = {64,125,0,343} = 641250343 4513 = {4,5,1,3}^2 = {16,25,1,9} = 162519 {4,5,1,3}^3 = {64,125,1,27} = 64125127 4517 = {4,5,1,7}^2 = {16,25,1,49} = 1625149 {4,5,1,7}^3 = {64,125,1,343} = 641251343 4519 = {4,5,1,9}^2 = {16,25,1,81} = 1625181 {4,5,1,9}^3 = {64,125,1,729} = 641251729 4523 = {4,5,2,3}^2 = {16,25,4,9} = 162549 {4,5,2,3}^3 = {64,125,8,27} = 64125827 4547 = {4,5,4,7}^2 = {16,25,16,49} = 16251649 {4,5,4,7}^3 = {64,125,64,343} = 6412564343 4549 = {4,5,4,9}^2 = {16,25,16,81} = 16251681 {4,5,4,9}^3 = {64,125,64,729} = 6412564729 4561 = {4,5,6,1}^2 = {16,25,36,1} = 1625361 {4,5,6,1}^3 = {64,125,216,1} = 641252161 4567 = {4,5,6,7}^2 = {16,25,36,49} = 16253649 {4,5,6,7}^3 = {64,125,216,343} = 64125216343 4583 = {4,5,8,3}^2 = {16,25,64,9} = 1625649 {4,5,8,3}^3 = {64,125,512,27} = 6412551227 4591 = {4,5,9,1}^2 = {16,25,81,1} = 1625811 {4,5,9,1}^3 = {64,125,729,1} = 641257291 4597 = {4,5,9,7}^2 = {16,25,81,49} = 16258149 {4,5,9,7}^3 = {64,125,729,343} = 64125729343 4603 = {4,6,0,3}^2 = {16,36,0,9} = 163609 {4,6,0,3}^3 = {64,216,0,27} = 64216027 4621 = {4,6,2,1}^2 = {16,36,4,1} = 163641 {4,6,2,1}^3 = {64,216,8,1} = 6421681 4637 = {4,6,3,7}^2 = {16,36,9,49} = 1636949 {4,6,3,7}^3 = {64,216,27,343} = 6421627343 4639 = {4,6,3,9}^2 = {16,36,9,81} = 1636981 {4,6,3,9}^3 = {64,216,27,729} = 6421627729 4643 = {4,6,4,3}^2 = {16,36,16,9} = 1636169 {4,6,4,3}^3 = {64,216,64,27} = 642166427 4649 = {4,6,4,9}^2 = {16,36,16,81} = 16361681 {4,6,4,9}^3 = {64,216,64,729} = 6421664729 4651 = {4,6,5,1}^2 = {16,36,25,1} = 1636251 {4,6,5,1}^3 = {64,216,125,1} = 642161251 4657 = {4,6,5,7}^2 = {16,36,25,49} = 16362549 {4,6,5,7}^3 = {64,216,125,343} = 64216125343 4663 = {4,6,6,3}^2 = {16,36,36,9} = 1636369 {4,6,6,3}^3 = {64,216,216,27} = 6421621627 4673 = {4,6,7,3}^2 = {16,36,49,9} = 1636499 {4,6,7,3}^3 = {64,216,343,27} = 6421634327 4679 = {4,6,7,9}^2 = {16,36,49,81} = 16364981 {4,6,7,9}^3 = {64,216,343,729} = 64216343729 4691 = {4,6,9,1}^2 = {16,36,81,1} = 1636811 {4,6,9,1}^3 = {64,216,729,1} = 642167291 4703 = {4,7,0,3}^2 = {16,49,0,9} = 164909 {4,7,0,3}^3 = {64,343,0,27} = 64343027 4721 = {4,7,2,1}^2 = {16,49,4,1} = 164941 {4,7,2,1}^3 = {64,343,8,1} = 6434381 4723 = {4,7,2,3}^2 = {16,49,4,9} = 164949 {4,7,2,3}^3 = {64,343,8,27} = 64343827 4729 = {4,7,2,9}^2 = {16,49,4,81} = 1649481 {4,7,2,9}^3 = {64,343,8,729} = 643438729 4733 = {4,7,3,3}^2 = {16,49,9,9} = 164999 {4,7,3,3}^3 = {64,343,27,27} = 643432727 4751 = {4,7,5,1}^2 = {16,49,25,1} = 1649251 {4,7,5,1}^3 = {64,343,125,1} = 643431251 4759 = {4,7,5,9}^2 = {16,49,25,81} = 16492581 {4,7,5,9}^3 = {64,343,125,729} = 64343125729 4783 = {4,7,8,3}^2 = {16,49,64,9} = 1649649 {4,7,8,3}^3 = {64,343,512,27} = 6434351227 4787 = {4,7,8,7}^2 = {16,49,64,49} = 16496449 {4,7,8,7}^3 = {64,343,512,343} = 64343512343 4789 = {4,7,8,9}^2 = {16,49,64,81} = 16496481 {4,7,8,9}^3 = {64,343,512,729} = 64343512729 4793 = {4,7,9,3}^2 = {16,49,81,9} = 1649819 {4,7,9,3}^3 = {64,343,729,27} = 6434372927 4799 = {4,7,9,9}^2 = {16,49,81,81} = 16498181 {4,7,9,9}^3 = {64,343,729,729} = 64343729729 4801 = {4,8,0,1}^2 = {16,64,0,1} = 166401 {4,8,0,1}^3 = {64,512,0,1} = 6451201 4813 = {4,8,1,3}^2 = {16,64,1,9} = 166419 {4,8,1,3}^3 = {64,512,1,27} = 64512127 4817 = {4,8,1,7}^2 = {16,64,1,49} = 1664149 {4,8,1,7}^3 = {64,512,1,343} = 645121343 4831 = {4,8,3,1}^2 = {16,64,9,1} = 166491 {4,8,3,1}^3 = {64,512,27,1} = 64512271 4861 = {4,8,6,1}^2 = {16,64,36,1} = 1664361 {4,8,6,1}^3 = {64,512,216,1} = 645122161 4871 = {4,8,7,1}^2 = {16,64,49,1} = 1664491 {4,8,7,1}^3 = {64,512,343,1} = 645123431 4877 = {4,8,7,7}^2 = {16,64,49,49} = 16644949 {4,8,7,7}^3 = {64,512,343,343} = 64512343343 4889 = {4,8,8,9}^2 = {16,64,64,81} = 16646481 {4,8,8,9}^3 = {64,512,512,729} = 64512512729 4903 = {4,9,0,3}^2 = {16,81,0,9} = 168109 {4,9,0,3}^3 = {64,729,0,27} = 64729027 4909 = {4,9,0,9}^2 = {16,81,0,81} = 1681081 {4,9,0,9}^3 = {64,729,0,729} = 647290729 4919 = {4,9,1,9}^2 = {16,81,1,81} = 1681181 {4,9,1,9}^3 = {64,729,1,729} = 647291729 4931 = {4,9,3,1}^2 = {16,81,9,1} = 168191 {4,9,3,1}^3 = {64,729,27,1} = 64729271 4933 = {4,9,3,3}^2 = {16,81,9,9} = 168199 {4,9,3,3}^3 = {64,729,27,27} = 647292727 4937 = {4,9,3,7}^2 = {16,81,9,49} = 1681949 {4,9,3,7}^3 = {64,729,27,343} = 6472927343 4943 = {4,9,4,3}^2 = {16,81,16,9} = 1681169 {4,9,4,3}^3 = {64,729,64,27} = 647296427 4951 = {4,9,5,1}^2 = {16,81,25,1} = 1681251 {4,9,5,1}^3 = {64,729,125,1} = 647291251 4957 = {4,9,5,7}^2 = {16,81,25,49} = 16812549 {4,9,5,7}^3 = {64,729,125,343} = 64729125343 4967 = {4,9,6,7}^2 = {16,81,36,49} = 16813649 {4,9,6,7}^3 = {64,729,216,343} = 64729216343 4969 = {4,9,6,9}^2 = {16,81,36,81} = 16813681 {4,9,6,9}^3 = {64,729,216,729} = 64729216729 4973 = {4,9,7,3}^2 = {16,81,49,9} = 1681499 {4,9,7,3}^3 = {64,729,343,27} = 6472934327 4987 = {4,9,8,7}^2 = {16,81,64,49} = 16816449 {4,9,8,7}^3 = {64,729,512,343} = 64729512343 4993 = {4,9,9,3}^2 = {16,81,81,9} = 1681819 {4,9,9,3}^3 = {64,729,729,27} = 6472972927 4999 = {4,9,9,9}^2 = {16,81,81,81} = 16818181 {4,9,9,9}^3 = {64,729,729,729} = 64729729729 5003 = {5,0,0,3}^2 = {25,0,0,9} = 25009 {5,0,0,3}^3 = {125,0,0,27} = 1250027 5009 = {5,0,0,9}^2 = {25,0,0,81} = 250081 {5,0,0,9}^3 = {125,0,0,729} = 12500729 5011 = {5,0,1,1}^2 = {25,0,1,1} = 25011 {5,0,1,1}^3 = {125,0,1,1} = 125011 5021 = {5,0,2,1}^2 = {25,0,4,1} = 25041 {5,0,2,1}^3 = {125,0,8,1} = 125081 5023 = {5,0,2,3}^2 = {25,0,4,9} = 25049 {5,0,2,3}^3 = {125,0,8,27} = 1250827 5039 = {5,0,3,9}^2 = {25,0,9,81} = 250981 {5,0,3,9}^3 = {125,0,27,729} = 125027729 5051 = {5,0,5,1}^2 = {25,0,25,1} = 250251 {5,0,5,1}^3 = {125,0,125,1} = 12501251 5059 = {5,0,5,9}^2 = {25,0,25,81} = 2502581 {5,0,5,9}^3 = {125,0,125,729} = 1250125729 5077 = {5,0,7,7}^2 = {25,0,49,49} = 2504949 {5,0,7,7}^3 = {125,0,343,343} = 1250343343 5081 = {5,0,8,1}^2 = {25,0,64,1} = 250641 {5,0,8,1}^3 = {125,0,512,1} = 12505121 5087 = {5,0,8,7}^2 = {25,0,64,49} = 2506449 {5,0,8,7}^3 = {125,0,512,343} = 1250512343 5099 = {5,0,9,9}^2 = {25,0,81,81} = 2508181 {5,0,9,9}^3 = {125,0,729,729} = 1250729729 5101 = {5,1,0,1}^2 = {25,1,0,1} = 25101 {5,1,0,1}^3 = {125,1,0,1} = 125101 5107 = {5,1,0,7}^2 = {25,1,0,49} = 251049 {5,1,0,7}^3 = {125,1,0,343} = 12510343 5113 = {5,1,1,3}^2 = {25,1,1,9} = 25119 {5,1,1,3}^3 = {125,1,1,27} = 1251127 5119 = {5,1,1,9}^2 = {25,1,1,81} = 251181 {5,1,1,9}^3 = {125,1,1,729} = 12511729 5147 = {5,1,4,7}^2 = {25,1,16,49} = 2511649 {5,1,4,7}^3 = {125,1,64,343} = 125164343 5153 = {5,1,5,3}^2 = {25,1,25,9} = 251259 {5,1,5,3}^3 = {125,1,125,27} = 125112527 5167 = {5,1,6,7}^2 = {25,1,36,49} = 2513649 {5,1,6,7}^3 = {125,1,216,343} = 1251216343 5171 = {5,1,7,1}^2 = {25,1,49,1} = 251491 {5,1,7,1}^3 = {125,1,343,1} = 12513431 5179 = {5,1,7,9}^2 = {25,1,49,81} = 2514981 {5,1,7,9}^3 = {125,1,343,729} = 1251343729 5189 = {5,1,8,9}^2 = {25,1,64,81} = 2516481 {5,1,8,9}^3 = {125,1,512,729} = 1251512729 5197 = {5,1,9,7}^2 = {25,1,81,49} = 2518149 {5,1,9,7}^3 = {125,1,729,343} = 1251729343 5209 = {5,2,0,9}^2 = {25,4,0,81} = 254081 {5,2,0,9}^3 = {125,8,0,729} = 12580729 5227 = {5,2,2,7}^2 = {25,4,4,49} = 254449 {5,2,2,7}^3 = {125,8,8,343} = 12588343 5231 = {5,2,3,1}^2 = {25,4,9,1} = 25491 {5,2,3,1}^3 = {125,8,27,1} = 1258271 5233 = {5,2,3,3}^2 = {25,4,9,9} = 25499 {5,2,3,3}^3 = {125,8,27,27} = 12582727 5237 = {5,2,3,7}^2 = {25,4,9,49} = 254949 {5,2,3,7}^3 = {125,8,27,343} = 125827343 5261 = {5,2,6,1}^2 = {25,4,36,1} = 254361 {5,2,6,1}^3 = {125,8,216,1} = 12582161 5273 = {5,2,7,3}^2 = {25,4,49,9} = 254499 {5,2,7,3}^3 = {125,8,343,27} = 125834327 5279 = {5,2,7,9}^2 = {25,4,49,81} = 2544981 {5,2,7,9}^3 = {125,8,343,729} = 1258343729 5281 = {5,2,8,1}^2 = {25,4,64,1} = 254641 {5,2,8,1}^3 = {125,8,512,1} = 12585121 5297 = {5,2,9,7}^2 = {25,4,81,49} = 2548149 {5,2,9,7}^3 = {125,8,729,343} = 1258729343 5303 = {5,3,0,3}^2 = {25,9,0,9} = 25909 {5,3,0,3}^3 = {125,27,0,27} = 12527027 5309 = {5,3,0,9}^2 = {25,9,0,81} = 259081 {5,3,0,9}^3 = {125,27,0,729} = 125270729 5323 = {5,3,2,3}^2 = {25,9,4,9} = 25949 {5,3,2,3}^3 = {125,27,8,27} = 12527827 5333 = {5,3,3,3}^2 = {25,9,9,9} = 25999 {5,3,3,3}^3 = {125,27,27,27} = 125272727 5347 = {5,3,4,7}^2 = {25,9,16,49} = 2591649 {5,3,4,7}^3 = {125,27,64,343} = 1252764343 5351 = {5,3,5,1}^2 = {25,9,25,1} = 259251 {5,3,5,1}^3 = {125,27,125,1} = 125271251 5381 = {5,3,8,1}^2 = {25,9,64,1} = 259641 {5,3,8,1}^3 = {125,27,512,1} = 125275121 5387 = {5,3,8,7}^2 = {25,9,64,49} = 2596449 {5,3,8,7}^3 = {125,27,512,343} = 12527512343 5393 = {5,3,9,3}^2 = {25,9,81,9} = 259819 {5,3,9,3}^3 = {125,27,729,27} = 1252772927 5399 = {5,3,9,9}^2 = {25,9,81,81} = 2598181 {5,3,9,9}^3 = {125,27,729,729} = 12527729729 5407 = {5,4,0,7}^2 = {25,16,0,49} = 2516049 {5,4,0,7}^3 = {125,64,0,343} = 125640343 5413 = {5,4,1,3}^2 = {25,16,1,9} = 251619 {5,4,1,3}^3 = {125,64,1,27} = 12564127 5417 = {5,4,1,7}^2 = {25,16,1,49} = 2516149 {5,4,1,7}^3 = {125,64,1,343} = 125641343 5419 = {5,4,1,9}^2 = {25,16,1,81} = 2516181 {5,4,1,9}^3 = {125,64,1,729} = 125641729 5431 = {5,4,3,1}^2 = {25,16,9,1} = 251691 {5,4,3,1}^3 = {125,64,27,1} = 12564271 5437 = {5,4,3,7}^2 = {25,16,9,49} = 2516949 {5,4,3,7}^3 = {125,64,27,343} = 1256427343 5441 = {5,4,4,1}^2 = {25,16,16,1} = 2516161 {5,4,4,1}^3 = {125,64,64,1} = 12564641 5443 = {5,4,4,3}^2 = {25,16,16,9} = 2516169 {5,4,4,3}^3 = {125,64,64,27} = 125646427 5449 = {5,4,4,9}^2 = {25,16,16,81} = 25161681 {5,4,4,9}^3 = {125,64,64,729} = 1256464729 5471 = {5,4,7,1}^2 = {25,16,49,1} = 2516491 {5,4,7,1}^3 = {125,64,343,1} = 125643431 5477 = {5,4,7,7}^2 = {25,16,49,49} = 25164949 {5,4,7,7}^3 = {125,64,343,343} = 12564343343 5479 = {5,4,7,9}^2 = {25,16,49,81} = 25164981 {5,4,7,9}^3 = {125,64,343,729} = 12564343729 5483 = {5,4,8,3}^2 = {25,16,64,9} = 2516649 {5,4,8,3}^3 = {125,64,512,27} = 1256451227 5501 = {5,5,0,1}^2 = {25,25,0,1} = 252501 {5,5,0,1}^3 = {125,125,0,1} = 12512501 5503 = {5,5,0,3}^2 = {25,25,0,9} = 252509 {5,5,0,3}^3 = {125,125,0,27} = 125125027 5507 = {5,5,0,7}^2 = {25,25,0,49} = 2525049 {5,5,0,7}^3 = {125,125,0,343} = 1251250343 5519 = {5,5,1,9}^2 = {25,25,1,81} = 2525181 {5,5,1,9}^3 = {125,125,1,729} = 1251251729 5521 = {5,5,2,1}^2 = {25,25,4,1} = 252541 {5,5,2,1}^3 = {125,125,8,1} = 12512581 5527 = {5,5,2,7}^2 = {25,25,4,49} = 2525449 {5,5,2,7}^3 = {125,125,8,343} = 1251258343 5531 = {5,5,3,1}^2 = {25,25,9,1} = 252591 {5,5,3,1}^3 = {125,125,27,1} = 125125271 5557 = {5,5,5,7}^2 = {25,25,25,49} = 25252549 {5,5,5,7}^3 = {125,125,125,343} = 125125125343 5563 = {5,5,6,3}^2 = {25,25,36,9} = 2525369 {5,5,6,3}^3 = {125,125,216,27} = 12512521627 5569 = {5,5,6,9}^2 = {25,25,36,81} = 25253681 {5,5,6,9}^3 = {125,125,216,729} = 125125216729 5573 = {5,5,7,3}^2 = {25,25,49,9} = 2525499 {5,5,7,3}^3 = {125,125,343,27} = 12512534327 5581 = {5,5,8,1}^2 = {25,25,64,1} = 2525641 {5,5,8,1}^3 = {125,125,512,1} = 1251255121 5591 = {5,5,9,1}^2 = {25,25,81,1} = 2525811 {5,5,9,1}^3 = {125,125,729,1} = 1251257291 5623 = {5,6,2,3}^2 = {25,36,4,9} = 253649 {5,6,2,3}^3 = {125,216,8,27} = 125216827 5639 = {5,6,3,9}^2 = {25,36,9,81} = 2536981 {5,6,3,9}^3 = {125,216,27,729} = 12521627729 5641 = {5,6,4,1}^2 = {25,36,16,1} = 2536161 {5,6,4,1}^3 = {125,216,64,1} = 125216641 5647 = {5,6,4,7}^2 = {25,36,16,49} = 25361649 {5,6,4,7}^3 = {125,216,64,343} = 12521664343 5651 = {5,6,5,1}^2 = {25,36,25,1} = 2536251 {5,6,5,1}^3 = {125,216,125,1} = 1252161251 5653 = {5,6,5,3}^2 = {25,36,25,9} = 2536259 {5,6,5,3}^3 = {125,216,125,27} = 12521612527 5657 = {5,6,5,7}^2 = {25,36,25,49} = 25362549 {5,6,5,7}^3 = {125,216,125,343} = 125216125343 5659 = {5,6,5,9}^2 = {25,36,25,81} = 25362581 {5,6,5,9}^3 = {125,216,125,729} = 125216125729 5669 = {5,6,6,9}^2 = {25,36,36,81} = 25363681 {5,6,6,9}^3 = {125,216,216,729} = 125216216729 5683 = {5,6,8,3}^2 = {25,36,64,9} = 2536649 {5,6,8,3}^3 = {125,216,512,27} = 12521651227 5689 = {5,6,8,9}^2 = {25,36,64,81} = 25366481 {5,6,8,9}^3 = {125,216,512,729} = 125216512729 5693 = {5,6,9,3}^2 = {25,36,81,9} = 2536819 {5,6,9,3}^3 = {125,216,729,27} = 12521672927 5701 = {5,7,0,1}^2 = {25,49,0,1} = 254901 {5,7,0,1}^3 = {125,343,0,1} = 12534301 5711 = {5,7,1,1}^2 = {25,49,1,1} = 254911 {5,7,1,1}^3 = {125,343,1,1} = 12534311 5717 = {5,7,1,7}^2 = {25,49,1,49} = 2549149 {5,7,1,7}^3 = {125,343,1,343} = 1253431343 5737 = {5,7,3,7}^2 = {25,49,9,49} = 2549949 {5,7,3,7}^3 = {125,343,27,343} = 12534327343 5741 = {5,7,4,1}^2 = {25,49,16,1} = 2549161 {5,7,4,1}^3 = {125,343,64,1} = 125343641 5743 = {5,7,4,3}^2 = {25,49,16,9} = 2549169 {5,7,4,3}^3 = {125,343,64,27} = 1253436427 5749 = {5,7,4,9}^2 = {25,49,16,81} = 25491681 {5,7,4,9}^3 = {125,343,64,729} = 12534364729 5779 = {5,7,7,9}^2 = {25,49,49,81} = 25494981 {5,7,7,9}^3 = {125,343,343,729} = 125343343729 5783 = {5,7,8,3}^2 = {25,49,64,9} = 2549649 {5,7,8,3}^3 = {125,343,512,27} = 12534351227 5791 = {5,7,9,1}^2 = {25,49,81,1} = 2549811 {5,7,9,1}^3 = {125,343,729,1} = 1253437291 5801 = {5,8,0,1}^2 = {25,64,0,1} = 256401 {5,8,0,1}^3 = {125,512,0,1} = 12551201 5807 = {5,8,0,7}^2 = {25,64,0,49} = 2564049 {5,8,0,7}^3 = {125,512,0,343} = 1255120343 5813 = {5,8,1,3}^2 = {25,64,1,9} = 256419 {5,8,1,3}^3 = {125,512,1,27} = 125512127

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