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Primes of the form k*(k+1)*(k+2)/6+2 (i.e., two more than a tetrahedral number).
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%I #11 Jul 17 2017 00:43:11

%S 2,3,37,167,457,971,2927,6547,12343,16217,26237,105997,121487,246907,

%T 273821,400997,562477,657361,708563,939931,1072447,1216867,1293701,

%U 1456937,2027797,2135447,2604127,2997413,4410551,5564323,6209897,6435691,7647061,8442107

%N Primes of the form k*(k+1)*(k+2)/6+2 (i.e., two more than a tetrahedral number).

%t Select[Accumulate[Table[n*(n + 1)/2, {n, 0, 2000}]] + 2, PrimeQ]

%Y Cf. A000040, A000292, A055472.

%K nonn

%O 1,1

%A _Jayanta Basu_, Apr 15 2013