Finding Prime P Such That 3 is a Quadratic Residue (mod p)

[shmoe]

Actually I did, but is 1 a prime?

No, not by the usual definition of prime. But there are primes that are congruent to 1 mod 12 (infinitely many of them in fact)

 

[Oxymoron]

The question is find primes such that 3 is a QR mod p. So 3 is a QR mod p where p must be congruent to 1 or 11 mod 12.