Quartan primes

In mathematics, a quartan prime is a prime number of the form x4 + y4, where x > 0, y > 0 (and x and y are integers). The odd quartan primes are of the form 16n + 1.

For example, 14 is the smallest odd quartan prime: 14 + 24 = 1 + 13 = 14.

With the exception of 2 (x = y = 1), one of x and y will be odd, and the other will be even. If both are odd or even, the resulting integer will be even, and 2 is the only even prime.

The first 20 quartan primes are

2, 14, 76, 16X, 1JJ, 3X4, 52X, 78X, 113J, 1295, 18B5, 1B94, 21J2, 2JBJ, 4B0X, 584J, 6896, 6X1J, 733J, 76JJ, 10169, 14723, 14X02, 19591, 1BBX4, 23XX4...