login
Triangular numbers which are the average of two consecutive primes.
8

%I #6 Oct 30 2018 10:31:02

%S 6,15,21,45,105,120,231,300,351,465,741,780,861,1176,1431,1485,3081,

%T 3240,3321,3828,4005,4278,5460,6786,6903,7140,7381,7503,7875,8001,

%U 10731,11175,11325,11781,12246,12561,13530,13695,14535,14706,17205,17391

%N Triangular numbers which are the average of two consecutive primes.

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

%H Zak Seidov, <a href="/A130178/b130178.txt">Table of n, a(n) for n = 1..1000</a>

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

%Y Cf. A000217, A024675.

%K nonn

%O 1,1

%A _Zak Seidov_, May 14 2007