Prime numbers that are the sum of consecutive hexagonal numbers.
7, 43, 73, 139, 157, 211, 251, 277, 421, 463, 503, 601, 1061, 1483, 1553, 2113, 2141, 2551, 2971, 3109, 3203, 3907, 4297, 4423, 4481, 6163, 6481, 6521, 8191, 9013, 9967, 10301, 12211, 15803, 16699, 17989, 18521, 19183, 22147, 22481, 22651, 23531, 23629
1
Terms are the sum of 2, 3, or 6 consecutive hexagonal numbers.
T. D. Noe, Plot of 1000 terms
T. D. Noe, Table of 1000 terms
Wikipedia, Polygonal number
(Mma) nn = 400; f = 6; 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