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 A053708 Nearest prime to n! (but not equal to n!). 0
 2, 3, 5, 23, 113, 719, 5039, 40343, 362867, 3628789, 39916801, 479001599, 6227020777, 87178291199, 1307674368043, 20922789888023, 355687428096031, 6402373705728037, 121645100408832089, 2432902008176640029 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS If n! is the average of its closest prime neighbors then the smaller prime is to be chosen (as in A051701). LINKS Table of n, a(n) for n=1..20. EXAMPLE For 8!=40320 the closest upper and lower primes are 40289 and 40343 with d=31 and d=23, so 40343 is closer to 8! than the lower neighbor. MATHEMATICA f[n_]:=Module[{nf=n!, s, l}, s=NextPrime[nf, -1]; l=NextPrime[nf]; If[nf-s>l-nf, l, s]] Table[f[i], {i, 25}] (* Harvey P. Dale, Dec 08 2010 *) CROSSREFS Cf. A000142, A033932, A037151, A033933, A006990. Sequence in context: A042363 A208220 A138655 * A137070 A084730 A117696 Adjacent sequences: A053705 A053706 A053707 * A053709 A053710 A053711 KEYWORD nonn AUTHOR Labos Elemer, Feb 10 2000 EXTENSIONS Corrected by Rick L. Shepherd, Jan 11 2006 STATUS approved

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Last modified April 13 15:24 EDT 2024. Contains 371644 sequences. (Running on oeis4.)