Find the smallest integer solution to the equation 1/x^2 + 1/y^2 = 1/z^2

A group of 20 people pay a total of £20 to see an exhibition. The admission price is £3 for men, £2 for women and 50p for children. How many men, women and children are there in the group?

Euler found four whole numbers such that the sum of any two of the numbers is a perfect square...

Explore the factors of the numbers which are written as 10101 in different number bases.

Prove that the numbers 10201, 11011 and 10101 are composite in any base.