A288890 Primes of the form k!4+2, where k!4 is the quadruple factorial number (A007662).

3, 5, 7, 23, 47, 233, 587, 3467, 65837, 40883537, 151412627, 1267389587, 74389431691577, 885821206052908127, 13005556505149168230729834377, 583723376551025432768079734666930727861956890308512536691015627

Offset: 1

Author

Robert Price, Jun 18 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..22
• Henri& Renaud Lifchitz, PRP Records.Search for n!4+2.
• Joe McLean, Interesting Sources of Probable Primes
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A007662, A283553.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 4] + 2, {i, 0, 100}], PrimeQ[#]&]
Select[Table[Times@@Range[k,1,-4]+2,{k,150}],PrimeQ] (* Harvey P. Dale, Nov 24 2024 *)