3

This number is a prime.

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According to the quadratic reciprocity theorem, if p and q are distinct primes of the form 4k+3, then exactly one of the following congruences is solvable in integers: x^2 = p mod q or x^2 = q mod p. [Rupinski]

Submitted: 2003-03-07 04:52:12; Last Modified: 2008-01-30 17:28:00.