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A066835 Omega((prime(n)-1)! + 1), where omega is given by A001221, primes in A000040. +0
1
1, 1, 1, 2, 2, 2, 5, 6, 3, 2, 5, 6, 7, 3, 3, 4, 4, 4, 5, 5, 7, 6, 3, 3, 5, 5 (list; graph; listen)
OFFSET

1,4

LINKS

Eric Weisstein's World of Mathematics, Wilson's Theorem

Hisanori Mishima, Appendix 1. Factorization results for n!+1

EXAMPLE

a(7) = omega(prime(7)-1)! + 1) = omega((17-1)! + 1) = omega(16! + 1) = omega(2092278988800 + 1) = omega(2092278988801) = 5, as 2092278988801 = 17 * 61 * 137 * 139 * 1059511 = prime(7)*prime(18)*prime(33)*prime(34)*prime(82801).

MATHEMATICA

Table[ Length[ FactorInteger[ (Prime[ n ] - 1)! + 1 ] ], {n, 1, 15} ]

CROSSREFS

Cf. A000040, A000142, A001221.

Sequence in context: A163946 A096403 A073819 this_sequence A123953 A097006 A033306

Adjacent sequences: A066832 A066833 A066834 this_sequence A066836 A066837 A066838

KEYWORD

nonn,more

AUTHOR

Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20, 2002

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 21 2002

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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