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 A163080 Primes p such that p\$ - 1 is also prime. Here '\$' denotes the swinging factorial function (A056040). 3
 3, 5, 7, 13, 41, 47, 83, 137, 151, 229, 317, 389, 1063, 2371, 6101, 7873, 13007, 19603 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) are the primes in A163078. LINKS Table of n, a(n) for n=1..18. Peter Luschny, Die schwingende Fakultät und Orbitalsysteme, August 2011. Peter Luschny, Swinging Primes. EXAMPLE 3 is prime and 3\$ - 1 = 5 is prime, so 3 is in the sequence. MAPLE a := proc(n) select(isprime, select(k -> isprime(A056040(k)-1), [\$0..n])) end: MATHEMATICA sf[n_] := n!/Quotient[n, 2]!^2; Select[Prime /@ Range[200], PrimeQ[sf[#] - 1] &] (* Jean-François Alcover, Jun 28 2013 *) PROG (PARI) is(k) = isprime(k) && ispseudoprime(k!/(k\2)!^2-1); \\ Jinyuan Wang, Mar 22 2020 CROSSREFS Cf. A056040, A103317, A163079, A163078. Sequence in context: A075557 A244452 A057187 * A141414 A236464 A064268 Adjacent sequences: A163077 A163078 A163079 * A163081 A163082 A163083 KEYWORD nonn,more AUTHOR Peter Luschny, Jul 21 2009 EXTENSIONS a(14)-a(18) from Jinyuan Wang, Mar 22 2020 STATUS approved

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Last modified February 24 10:05 EST 2024. Contains 370294 sequences. (Running on oeis4.)