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A163076 Primes of the form n$ - 1. Here '$' denotes the swinging factorial function (A056040). 3
5, 19, 29, 139, 251, 12011, 48619, 51479, 155117519, 81676217699, 1378465288199, 5651707681619, 386971244197199, 1580132580471899, 30067266499541039 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

Peter Luschny, "Divide, swing and conquer the factorial and the lcm{1,2,...,n}", preprint, April 2008.

LINKS

Table of n, a(n) for n=1..15.

Peter Luschny, Swinging Primes.

EXAMPLE

Since 4$ = 6 the prime 5 is listed.

MAPLE

a := proc(n) select(isprime, map(x -> A056040(x)-1, [$1..n])); sort(%) end:

MATHEMATICA

Reap[Do[f = n!/Quotient[n, 2]!^2; If[PrimeQ[p = f - 1], Sow[p]], {n, 1, 70}]][[2, 1]] // Union (* Jean-Fran├žois Alcover, Jun 28 2013 *)

CROSSREFS

Cf. A163078 (arguments n), A163074, A163075, A055490.

Sequence in context: A045457 A165557 A138242 * A122729 A262700 A243269

Adjacent sequences:  A163073 A163074 A163075 * A163077 A163078 A163079

KEYWORD

nonn

AUTHOR

Peter Luschny, Jul 21 2009

STATUS

approved

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Last modified April 28 12:38 EDT 2017. Contains 285575 sequences.