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A163077
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Numbers n such that n$ + 1 is prime. Here '$' denotes the swinging factorial function (A056040).
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3
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0, 1, 2, 3, 4, 5, 8, 9, 14, 15, 24, 27, 31, 38, 44, 45, 49, 67, 76, 92, 99, 119, 124, 133, 136, 139, 144, 168, 171, 185, 265, 291, 332, 368, 428, 501, 631, 680, 689, 696, 765, 789, 890, 1034, 1233, 1384, 1517, 1615, 1634, 1809, 2632, 2762, 3925, 4419, 5108, 5426
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| Peter Luschny, "Divide, swing and conquer the factorial and the lcm{1,2,...,n}", preprint, April 2008.
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LINKS
| Peter Luschny, Swinging Primes.
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EXAMPLE
| 0$+1=1+1=2 is prime, so 0 is in the sequence.
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MAPLE
| a := proc(n) select(x -> isprime(A056040(x)+1), [$0..n]) end:
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MATHEMATICA
| fQ[n_] := PrimeQ[1 + 2^(n - Mod[n, 2])*Product[k^((-1)^(k + 1)), {k, n}]]; Select[ Range[0, 8660], fQ] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 09 2010]
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CROSSREFS
| Cf. A163078, A163079, A163080, A002981.
Sequence in context: A105317 A094103 A054181 * A204810 A054168 A085152
Adjacent sequences: A163074 A163075 A163076 * A163078 A163079 A163080
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KEYWORD
| nonn
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AUTHOR
| Peter Luschny (peter(AT)luschny.de), Jul 21 2009
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EXTENSIONS
| a(45) - a(56) from Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 09 2010
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