A288369 Primes of the form k!10 + 1, where k!10 is the decuple factorial number (A288327).

2, 3, 5, 7, 11, 97, 45697, 4133377, 4060162871525377, 294880677941535796547813377, 46001385758879584261458886657, 7636230035974010987402175184897, 35568742809600000000000000000001, 18067746635539299564851337380417765377

Offset: 1

Author

Robert Price, Jun 08 2017

Keywords

• nonn

Links

• Robert Price, Table of n, a(n) for n = 1..21
• Joe McLean, Interesting Sources of Probable Primes.

Crossrefs

Cf. A204656, A288327.

Programs

Mathematica

MultiFactorial[n_, k_] := If[n<1, 1, n*MultiFactorial[n-k, k]];
Select[Table[MultiFactorial[i, 10] + 1, {i, 0, 100}], PrimeQ[#]&]

Formula

a(n) = 1 + A288327(A204656(n+1)). - Elmo R. Oliveira, Feb 26 2025