Number Theory question:
Here is a list of the first few primes for which 3 is a
quadratic residue and a nonresidue.
Quadratic Residue: p = 11, 13, 23, 37, 47, 59, 61, 71, 73, 83,
97, 107, 109
Nonresidue: p = 5, 7, 17, 19, 29, 31, 41, 43, 53, 67, 79, 89,
101, 103, 113, 127
Reduce these lists modulo 12, and make a conjecture explaining
which primes have 3 as a quadratic residue.