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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Intersection of A000217 (triangular numbers) and A024675 (average of two consecutive primes).

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

EXAMPLE

6-/+1, 15-/+2,..., 300-/+7 are pairs of consecutive primes.

CROSSREFS

Cf. A000217, A024675.

Sequence in context: A063466 A138109 A072521 * A100410 A095032 A227610

Adjacent sequences:  A130175 A130176 A130177 * A130179 A130180 A130181

KEYWORD

nonn

AUTHOR

Zak Seidov, May 14 2007

STATUS

approved

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Last modified October 19 15:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)