MathDB

2

Part of 1983 Austrian-Polish Competition

Problems(1)

Nice Equation

Source: 6-th Austrian–Polish Mathematical Competition 1983, First Day

6/28/2006
Find all triples of positive integers (p,q,n)(p, q, n) with pp and qq prime, such that p(p+1)+q(q+1)=n(n+1)p(p+1)+q(q+1) = n(n+1).
number theory unsolvednumber theory