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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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Monthly Archives: June 2015
Cyclic permutation of digits – GeometricMean[abc, bca] = cab
Can you find other solutions?
Concatenation – Emirps
An emirp is a prime number that results in a different prime when its digits are reversed. https://en.wikipedia.org/wiki/Emirp Let’s take all the emirps < 1000 13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, … Continue reading
Sequences of squares: a+1, ab+1, abc+1, abcd+1, …
There exist an infinite number of infinite sequences of distinct positive integers , … for which , … are all squares. then, then, then, then, etc. … Continue reading
Triangular numbers which are the sum of 7 consecutive squares
The first few solutions:
When Concatenations 13N^2 and 17N^271 are prime
Find such that the concatenation (1) is a prime number (2) is a prime number For all … Continue reading
Concatenation 11  N^3  11 is a prime number (Part 2)
Find such that the concatenation is a prime number For all