Prime numbers that are the sum of consecutive 10-th powers.
353815699, 1416683249, 102769130749, 489030511049, 104607848467699, 164440762206451, 299937908259377, 407661262255301, 117503746536768701, 558570240418657099, 613381625005839577, 826766035704715651, 2071387462137113851, 16583062947066485449
1
These primes are the sum of 3, 6, 11, 22, 33, or 66 consecutive 10-th powers. See S000785.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
(Mma) ss = {3, 6, 11, 22, 33, 66}; nn = 400; sq = Table[n^10, {n, nn}]; t10 = Table[Select[Plus @@@ Partition[sq, n, 1], PrimeQ], {n, ss}]; mx = Min[Select[Max /@ t10, # > 0 &]]; Select[Union[Flatten[t10]], # <= mx &]
Cf. A163251, A165347, S000785-S000789.
nonn
T. D. Noe, Dec 08 2015