Prime numbers that are the sum of consecutive 10-gonal numbers.
11, 37, 79, 89, 137, 211, 263, 821, 967, 991, 1361, 1597, 1831, 2081, 2347, 2927, 3037, 3323, 3571, 3917, 4201, 4657, 5051, 5557, 6329, 7283, 7951, 8513, 8779, 9787, 9839, 9871, 11027, 11261, 14197, 14879, 15217, 16103, 16447, 17021, 17909, 19051, 20101
1
Terms are the sum of 2, 3, or 6 consecutive 10-gonal numbers.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
Wikipedia, Polygonal number
(Mma) nn = 400; f = 10; s = Table[k ((f - 2) k - (f - 4))/2, {k, nn}]; t = Table[Select[Plus @@@ Partition[s, n, 1], PrimeQ], {n, 6}]; mx = Min[Select[Max /@ Rest[t], # > 0 &]]; Select[Union[Flatten[t]], # <= mx &]
Cf. A163251 (squares), S000790-S000799.
nonn
T. D. Noe, Dec 11 2015