Pairs of positive numbers x <= y such that x^32 + y^32 is prime.

1, 1, 8, 9, 10, 11, 12, 13, 13, 18, 10, 19, 22, 23, 2, 29, 22, 29, 1, 30, 4, 33, 5, 34, 18, 37, 30, 37, 34, 37, 11, 38, 29, 38, 31, 38, 4, 39, 32, 39, 3, 40, 11, 40, 29, 40, 40, 43, 9, 44, 33, 46, 10, 47, 29, 48, 31, 48, 35, 48, 7, 50, 44, 51, 33, 52, 50, 53

1

Except for the first pair, numbers in a pair have opposite parity. See S000595 for the pairs sorted by the primes they generate.

T. D. Noe, Plot of 2506 pairs

T. D. Noe, Table of 2506 pairs

(Mma) t = {}; x = 0; While[Length[t] < 50, x++; Do[If[PrimeQ[x^32 + y^32], AppendTo[t, {y, x}]], {y, x}]]

Cf. S000585-S000590, S000595, S000601.

nonn

T. D. Noe, Apr 22 2015