Find two Pythagorean right triangles having lengths A,B,C and D,E,F, where C and F are the respective hypotenuses such that A+D is a cube, B+E is a sixth power, and C+F is a ninth power.
What is the largest number of distinct positive integers you can have such that most of their pairwise differences are prime?
For example, among (2, 4, 6, 11, 13, 15) there are 15 pairwise differences, of which 10 are prime.
Determine 3 integers such that the sum of any 2 of them is a prime.
Determine an expression that generates all solutions.
