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A066835
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Omega((prime(n)-1)! + 1), where omega is given by A001221, primes in A000040.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 1,4
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LINKS
| Eric Weisstein's World of Mathematics, Wilson's Theorem
Hisanori Mishima, Appendix 1. Factorization results for n!+1
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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).
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MATHEMATICA
| Table[ Length[ FactorInteger[ (Prime[ n ] - 1)! + 1 ] ], {n, 1, 15} ]
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CROSSREFS
| Cf. A000040, A000142, A001221.
Sequence in context: A096403 A073819 A190846 * A123953 A097006 A033306
Adjacent sequences: A066832 A066833 A066834 * A066836 A066837 A066838
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KEYWORD
| nonn,more
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 20, 2002
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EXTENSIONS
| More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 21 2002
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