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 A288448 Numbers k such that k!6 + 32 is prime, where k!6 is the sextuple factorial number (A085158 ). 1
 5, 9, 17, 21, 29, 53, 57, 105, 111, 279, 303, 435, 483, 677, 1049, 1217, 1395, 9651, 26031, 31937 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Corresponding primes are: 37, 59, 967, 8537, 623677, 2229272062357, 38661097149707, ... a(21) > 50000. Terms > 29 correspond to probable primes. LINKS Henri & Renaud Lifchitz, PRP Records. Search for n!6+32. Joe McLean, Interesting Sources of Probable Primes OpenPFGW Project, Primality Tester EXAMPLE 17!6 + 32 = 17*11*5 + 32 = 967 is prime, so 17 is in the sequence. MATHEMATICA MultiFactorial[n_, k_] := If[n < 1, 1, n*MultiFactorial[n - k, k]]; Select[Range[0, 50000], PrimeQ[MultiFactorial[#, 6] + 32] &] CROSSREFS Cf. A007661, A037082, A084438, A123910, A242994. Sequence in context: A273851 A097538 A001771 * A022341 A255651 A216877 Adjacent sequences:  A288445 A288446 A288447 * A288449 A288450 A288451 KEYWORD nonn,more AUTHOR Robert Price, Jun 09 2017 STATUS approved

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Last modified January 23 01:48 EST 2020. Contains 331166 sequences. (Running on oeis4.)