Question

Determine all prime numbers a,b,and c for which the expression a^2+b^2+c^ 2-1 is a perfect square.​

Answer 1

Answer:

2c = 1+b = 1+3 = 4 and c = 2,a prime number. Therefore, a = 7, b = 3 and c = 2, all prime numbers and so the sum (a+b+c) = 12.

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