Pairs of positive numbers x <= y such that x^8 + y^8 is prime.

1, 1, 1, 2, 1, 4, 5, 6, 3, 10, 7, 12, 2, 13, 8, 13, 3, 14, 8, 15, 9, 16, 13, 16, 4, 17, 17, 18, 4, 19, 7, 20, 17, 20, 2, 21, 8, 21, 3, 22, 5, 22, 20, 23, 7, 24, 11, 24, 17, 24, 23, 24, 8, 25, 19, 26, 10, 27, 20, 27, 3, 28, 11, 28, 17, 28, 10, 29, 22, 29, 19, 30

1

Except for the first pair, numbers in a pair have opposite parity. See S000593 for the pairs sorted by the primes they generate.

T. D. Noe, Plot of 2516 pairs

T. D. Noe, Table of 2516 pairs

(Mma) t = {}; x = 0; While[Length[t] < 50, x++; Do[If[PrimeQ[x^8 + y^8], AppendTo[t, {y, x}]], {y, x}]]

Cf. S000585-S000590, S000593, S000599.

nonn

T. D. Noe, Apr 22 2015