A288614 Primes of the form k!6+18, where k!6 is the sextuple factorial number (A085158).

19, 23, 73, 109, 953, 1747, 21523, 1339993, 49579093, 894930593, 104463111043, 3879320022245629336393, 131181879631714694053764558690643, 5685668465320307573857236025777988251766371484393, 164577616892349380880997566903814398769391101461559752758998046893

Offset: 1

Author

Robert Price, Jun 11 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..15
• Henri& Renaud Lifchitz, PRP Records.Search for n!6+18.
• Joe McLean, Interesting Sources of Probable Primes
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A288445.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 6] + 18, {i, 0, 100}], PrimeQ[#]&]
Select[Table[(Times@@Range[k,1,-6])+18,{k,250}],PrimeQ] (* Harvey P. Dale, Dec 14 2021 *)