Prime numbers that are the sum of consecutive 8-th powers.
257, 72353, 2070241, 167658979, 744340577, 3103519333, 17995718017, 188386299457, 1521892902979, 2505920246017, 3192202523137, 5072985298081, 11905609260481, 15264218351653, 16253401398977, 21370852274017, 50910961247777, 61867239705839
1
These primes are the sum of 2, 3, 5, 6, 10, 15, or 30 consecutive 8-th powers. See S000785.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) ss = {2, 3, 5, 6, 10, 15, 30}; nn = 400; sq = Table[n^8, {n, nn}]; t8 = Table[Select[Plus @@@ Partition[sq, n, 1], PrimeQ], {n, ss}]; mx = Min[Select[Max /@ t8, # > 0 &]]; Select[Union[Flatten[t8]], # <= mx &]
Cf. A163251, A165347, S000785-S000789.
nonn
T. D. Noe, Dec 08 2015