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Some Primes Differ by a Square (Posted on 2023-05-31)

Determine all possible pairs (p, q) of prime numbers that satisfy this set of simultaneous equations:

p - q = a²
p*q - q = b²

where each of a and b is a positive integer.

Validate your answer by providing sufficient analytic reasoning.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(p,q) = (3,2) is the only solution.
For an explanation, refer to the solution submitted by H M in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Solution	Math Man	2023-07-01 21:02:02
Solution	H M	2023-05-31 11:47:40

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