A289820 Primes of the form k!3-243, where k!3 is the triple factorial number (A007661).

37, 1106317, 17041023757, 13106744139423334399757, 111788986826349170054555238399757, 254451773522587035734629406212095999757, 12931890526958090978845347074978621685759999757, 23265085063150097152411131624511949388385310979653631999999757

Offset: 1

Author

Robert Price, Jul 12 2017

Keywords

• nonn

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..18
• Henri & Renaud Lifchitz, PRP Records.Search for n!3-243.
• Joe McLean, Interesting Sources of Probable Primes
• OpenPFGW Project, Primality Tester

Crossrefs

Cf. A247465.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 3] - 243, {i, 10, 100}], PrimeQ[#]&]
Select[Table[Times@@Range[n,1,-3]-243,{n,10,150}],PrimeQ] (* Harvey P. Dale, Jan 01 2025 *)