MathDB
TOT 509 1996 Autumn J A2 p^2 + d is divisible by qr ...

Source:

August 16, 2024
number theorydividesdivisible

Problem Statement

Do there exist three different prime numbers pp, qq and rr such that p2+dp^2 + d is divisible by qrqr, q2+dq^2 + d is divisible by rprp and r2+dr^2 + d is divisible by pqpq, if
(a) d=10d = 10; (b) d=11d = 11?
(V Senderov)
Back to ProblemsView on AoPS