A127052 Primes p such that denominator of Sum_{k=1..p-1} 1/k^8 is an eighth power.

2, 3, 5, 7, 11, 13, 17, 19, 29, 31, 37, 41, 53, 67, 71, 73, 97, 101, 127, 131, 197, 199, 211, 251, 367, 373, 379, 773, 787, 797, 809, 811, 1373, 1433, 1439, 2027, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229

Offset: 1

Author

Artur Jasinski, Jan 03 2007

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A061002, A034602, A127029, A127042, A127046, A127047, A127048, A127051.

Programs

Mathematica

d[n_] := Module[{}, su = 0; a = {}; For[i = 1, i <= n, i++, su = su + 1/ i^8; If[PrimeQ[i + 1], If[IntegerQ[(Denominator[su])^(1/8)], AppendTo[a, i + 1]]]]; a]; d[2000]