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 A^2 = B^3 + C^3
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 smallest integer whose first n multiples all contain a 3
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 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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Monthly Archives: August 2013
Grid 9X9  18 prime num3ers
1 7 3 4 2 8 7 2 1 6 1 1 1 3 1 7 6 9 6 … Continue reading
DigitSum()  Square num3ers
2digit squares: 16, 25, 36, 49, 64, 81 4^2 = 16 1+6 = 7 … Continue reading
DigitSum, Squares of 62, 64, 66
Part 1 66^2 = 4356 66^2 contains consecutive digits (3, 4, 5, 6) Can you find a square that contains (1) consecutive even digits (2) consecutive odd digits —————————————— Part 2 … Continue reading
Two Puzzles  Arithmetic progression
Arithmetic progression – definition http://en.wikipedia.org/wiki/Arithmetic_progression (1) Find three numbers A, B, C such that A, B, C is an arithmetic progression and the sums … A + B B + C A … Continue reading
Make 1111 using (+, , *, /, ^) and digits 19 only once
Make 1111 using (+, , *, /) and exponentiation using only one digit from 1 to 9 each time. For example, (6 + 6^6)/(6 + 6*6) = 1111 the digit 6 is repeated only six times. … Continue reading
Puzzle  Square numbers
Find three numbers (x, y, z) such that x + (x * y * z), y + (x* y * z) and z + (x* y * z) are all … Continue reading
Puzzles  Squares and Square roots
(1) Find integers (x, y) such that x + √y = 7 y + √x = 11 Note that the first few twin prime pairs are: (3, 5), … Continue reading
Num3er 81619
81619 is the 7982nd prime number. 2897 is the digitreversal of 7982 2897 is the 419th prime. 81619 = (7)(2^4)(3^6) – (2^2 + 5^2) 81619^2 = … Continue reading
Sums and Products
See older post: Num3ers 12345678 and 87654321 12 + 43 + 65 + 78 = 87 + 56 + 34 + 21 … Continue reading
Num3ers 12345678 and 87654321
12345678 = 2 * 3 * 3 * 47 * 14593 87654321 = 3 * 3 * 1997 * 4877 (12345678 * 9) + 9 = 111,111,111 (12345678 * 8) … Continue reading