A283594 Numbers k such that k![12]+2 is prime, where k![12] is the twelve-fold multifactorial.

0, 1, 3, 5, 9, 11, 15, 21, 27, 29, 39, 99, 159, 213, 249, 351, 443, 489, 513, 563, 705, 1059, 1599, 1733, 2361, 3699, 4263, 4451, 4479, 5141, 5751, 7355, 7461, 8525, 8861, 18231, 19629, 23571, 41789, 76973, 86997, 93735, 98943

Offset

1,3

Comments

a(44) > 10^5.

The first 12 primes associated with this sequence: 3, 3, 5, 7, 11, 13, 47, 191, 1217, 2467, 47387.

Links

Table of n, a(n) for n=1..43.

C. Caldwell and H. Dubner (Eds): The top ten prime numbers: from the unpublished collections of R. Ondrejka (May 2001), Table 21 F, p. 75

Ken Davis, Status of Search for Multifactorial Primes.

Mathematica

MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]];
Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 12] + 2] &]

Crossrefs

Cf. A076185, A085158, A094144, A204657.

Sequence in context: A210537 A199407 A261141 * A339173 A233764 A233780

Adjacent sequences: A283591 A283592 A283593 * A283595 A283596 A283597

Keyword

nonn

Author

Robert Price, Mar 11 2017

Extensions

a(40)-a(43) from Robert Price, Mar 24 2017

Status

approved