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6

Part of 2017 ISI Entrance Examination

Problems(1)

4+p_1p_2, 4+p_1p_3 are perfect squares

Source: BStat-BMath 2017: Problem 6

5/14/2017
Let p1,p2,p3p_1,p_2,p_3 be primes with p2≠p3p_2\neq p_3 such that 4+p1p24+p_1p_2 and 4+p1p34+p_1p_3 are perfect squares. Find all possible values of p1,p2,p3p_1,p_2,p_3.
number theory