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

Source:

July 9, 2024
number theoryPerfect Square

Problem Statement

Does there exist an integer n such that all three numbers
(a) n96n - 96, nn and n+96n + 96
(b) n1996n - 1996, nn and n+1996n + 1996
are positive prime numbers?
(V Senderov)