

A167788


Triangular numbers which are sums of three consecutive primes.


6



10, 15, 1891, 3403, 10153, 13861, 20503, 27261, 56953, 77815, 87571, 89253, 99681, 121771, 144991, 218791, 224785, 354061, 392941, 606651, 693253, 761995, 765703, 802011, 874503, 1017451, 1038961, 1091503, 1269621, 1348903, 1428895, 1468041
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OFFSET

1,1


COMMENTS

Intersection of A000217 (Triangular numbers) and A034961 (Sums of three consecutive primes).


LINKS



FORMULA



MATHEMATICA



PROG

(Magma) [ t: n in [1..40000]  IsSquare(8*t+1) where t is &+[NthPrime(n+s): s in [0, 1, 2]] ]; // Bruno Berselli, Apr 28 2011


CROSSREFS

Cf. A226145 (corresponding indices), A226148 (the smallest of the 3 consecutive primes).


KEYWORD

nonn


AUTHOR



STATUS

approved



