Pairs of positive numbers x <= y such that x^16 + y^16 is prime.

1, 1, 1, 2, 3, 4, 5, 6, 6, 7, 7, 8, 5, 12, 8, 13, 10, 13, 5, 14, 14, 15, 11, 16, 10, 17, 14, 17, 7, 18, 11, 18, 16, 19, 8, 21, 10, 21, 9, 22, 15, 22, 21, 22, 10, 23, 16, 23, 18, 23, 11, 24, 17, 24, 10, 27, 22, 27, 9, 28, 13, 28, 17, 28, 22, 29, 26, 29, 20, 31

1

Except for the first pair, numbers in a pair have opposite parity. See S000594 for the pairs sorted by the primes they generate.

T. D. Noe, Plot of 2508 pairs

T. D. Noe, Table of 2508 pairs

(Mma) t = {}; x = 0; While[Length[t] < 50, x++; Do[If[PrimeQ[x^16 + y^16], AppendTo[t, {y, x}]], {y, x}]]

Cf. S000585-S000590, S000594, S000600.

nonn

T. D. Noe, Apr 22 2015