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A130178
Triangular numbers which are the average of two consecutive primes.
8
6, 15, 21, 45, 105, 120, 231, 300, 351, 465, 741, 780, 861, 1176, 1431, 1485, 3081, 3240, 3321, 3828, 4005, 4278, 5460, 6786, 6903, 7140, 7381, 7503, 7875, 8001, 10731, 11175, 11325, 11781, 12246, 12561, 13530, 13695, 14535, 14706, 17205, 17391
OFFSET
1,1
COMMENTS
Intersection of A000217 (triangular numbers) and A024675 (average of two consecutive primes).
EXAMPLE
6-/+1, 15-/+2,..., 300-/+7 are pairs of consecutive primes.
CROSSREFS
Sequence in context: A357325 A362211 A072521 * A100410 A095032 A227610
KEYWORD
nonn
AUTHOR
Zak Seidov, May 14 2007
STATUS
approved