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(509) 2

Part of 1996 Tournament Of Towns

Problems(1)

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

Source:

8/16/2024
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)
number theorydividesdivisible