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 A^2 = B^3 + C^3
 Set {4,b,c,d,e} such that the product of any two of them increased by 1 is a square
 smallest integer whose first n multiples all contain a 3
 Set {3,b,c,d,e} such that the product of any two of them increased by 1 is a square
 Set {2,b,c,d,e} such that the product of any two of them increased by 1 is a square
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Tag Archives: Numbers
Songs with (phone) numbers in their titles
It seems that there are two phone numbers in the title of these two songs: (1) 8675309 – Tommy Tutone (2) 6345789 – Wilson Pickett (1) Jenny’s phone number (According to the hit song … Continue reading
Numbers and Their Reversion
9 + 9 = 18 9 * 9 = 81 24 + 3 = … Continue reading
Table of numbers with 5 rows and 5 columns
Below is a table of numbers with 5 rows and 5 columns. From the table, choose 5 numbers in such a way that no two numbers come from the same row and no two numbers come from the same column. … Continue reading
Puzzle: 10 Num3ers around Two hexagonal tables
Two hexagonal tables, joined as shown, seats 10 people. Each person is assigned a positive integer. Each number is one more than the greatest common divisor of its two neighbors. What is the sum of the ten numbers? Greatest common … Continue reading
Interesting Num3ers & their reversals
91 & 19 19 is a prime number 91 = 7 * 13 91^2 = 8281 (a square formed by concatenation of 2 consecutive numbers: 8281 = 82  81 8 + 2 + 81 = 91 … Continue reading
Using all digits from 0 to 9 only once (Part 3)
9 * (8 – 7 – 6 + 5 – 4 + 3 + 2 – 1) = 0 12 + 3 + 4 + 8 – 5 – 6 – 7 – 9 = 0 7 + 8 + … Continue reading
Using all digits 0 to 9 only once to make a sum equal to 100
(1) Mixed Fractions – Using all digits from 1 to 9 100 = 96 2148/537 100 = 96 1428/357 100 = 96 1752/438 100 = 94 1578/263 100 = 91 7524/836 100 = 91 … Continue reading
Using digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 only once (Part Two)
Using all the nine digits once, and once only: (1) 51 249 876 * 3 = 153 749 628 32 547 891 * 6 = 195 287 346 16 583 742 * 9 = 149 253 678 (2) Adding the odd digits 1 + 3 + 5 + 7 + 9 = 25 … Continue reading
Using digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 (Part One)
The number 123456789 Adding all the digits 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45 123456789 * 2 = 246913578 Adding the digits of this new number 2 + 4 + … Continue reading