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Equation in integers (Posted on 2020-12-06)

Determine all pairs of prime numbers (p, q) such that p² + 5pq + 4q² is the square of an integer.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.0000 (1 votes)

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re: computer exploration

| Comment 2 of 5 |

(In reply to computer exploration by Charlie)

Testing up to the 2000-th prime (17389), the only pairs are still:
(5,11), (7,5), and (13,3)

Posted by Larry on 2020-12-06 20:04:54

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