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 A056752 Distance from n! to the nearest prime. 4
 1, 0, 1, 1, 7, 1, 1, 23, 13, 11, 1, 1, 23, 1, 43, 23, 31, 37, 89, 29, 31, 31, 89, 73, 41, 37, 1, 67, 31, 1, 61, 1, 1, 97, 61, 127, 1, 1, 73, 53, 1, 79, 71, 47, 53, 89, 79, 53, 59, 61, 179, 53, 59, 127, 61, 149, 107, 109, 137, 139, 71, 71, 101, 67, 127, 283, 73, 83, 103, 97 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Hans Havermann, Table of n, a(n) for n = 1..2000 EXAMPLE For both 1! and 2! the nearest prime neighbor is 2, with distances of 1 and 0, respectively. The nearest primes around 8! are 40289 and 40343 with distances of 31 and 23, so a(8)=23. MAPLE with(numtheory): [seq(min(nextprime(i!)-i!, i!-prevprime(i!)), i=3..100)]; # a(1) and a(2) computed individually MATHEMATICA Table[Function[k, Min[k - #, NextPrime@ # - k] &@If[n == 1, 0, Prime@ PrimePi@ k]][n!], {n, 16}] (* Michael De Vlieger, Jul 15 2017 *) CROSSREFS Cf. A006990, A037151, A033932, A033933, A053714 (signed version with a different second term). Sequence in context: A157272 A176200 A046739 * A053714 A168290 A218695 Adjacent sequences:  A056749 A056750 A056751 * A056753 A056754 A056755 KEYWORD nonn AUTHOR Labos Elemer, Jan 19 2001 STATUS approved

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)