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(484) 2

Part of 1996 Tournament Of Towns

Problems(1)

TOT 484 1996 Spring J O2 n- 1996, n, n + 1996 are perfect squares

Source:

7/9/2024
Does there exist an integer n such that all three numbers
(a) n−96n - 96, nn and n+96n + 96
(b) n−1996n - 1996, nn and n+1996n + 1996
are positive prime numbers?
(V Senderov)
number theoryPerfect Square