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 A163078 Numbers n such that n\$ - 1 is prime. Here '\$' denotes the swinging factorial function (A056040). 3
 3, 4, 5, 6, 7, 10, 13, 15, 18, 30, 35, 39, 41, 47, 49, 58, 83, 86, 102, 111, 137, 151, 195, 205, 226, 229, 317, 319, 321, 368, 389, 426, 444, 477, 534, 558, 567, 738, 804, 882, 1063, 1173, 1199, 1206, 1315, 1624, 1678, 1804, 2371, 2507, 2541, 2844, 3084, 3291 (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 Peter Luschny, Swinging Primes. EXAMPLE 4\$ - 1 = 6 - 1 = 5 is prime, so 4 is in the sequence. MAPLE a := proc(n) select(x -> isprime(A056040(x)-1), [\$0..n]) end: MATHEMATICA fQ[n_] := PrimeQ[ -1 + 2^(n - Mod[n, 2])*Product[k^((-1)^(k + 1)), {k, n}]]; Select[ Range@ 3647, fQ] (* Robert G. Wilson v, Aug 09 2010 *) CROSSREFS Cf. A163077, A163079, A163080, A002982. Sequence in context: A271376 A087190 A085038 * A050034 A039056 A047562 Adjacent sequences:  A163075 A163076 A163077 * A163079 A163080 A163081 KEYWORD nonn AUTHOR Peter Luschny, Jul 21 2009 EXTENSIONS a(42) - a(54) from Robert G. Wilson v, Aug 09 2010 STATUS approved

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Last modified December 10 14:50 EST 2018. Contains 318049 sequences. (Running on oeis4.)