Prime numbers that are the sum of consecutive 11-gonal numbers.
11, 41, 337, 593, 1321, 2953, 5233, 8161, 9281, 34721, 49433, 83137, 97553, 109121, 117193, 129841, 143137, 157081, 161873, 171673, 224993, 242393, 260441, 279137, 311737, 318473, 332161, 374953, 444001, 452033, 572041, 637337, 747073, 757481, 778513, 789137
1
The only prime 11-gonal number is 11, the first term. Other terms are the sum of two consecutive 11-gonal numbers.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
Wikipedia, Polygonal number
(Mma) nn = 400; f = 11; 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