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 A212266 Primes p such that p - m! is composite, where m is the greatest number such that m! < p. 4
 59, 73, 79, 89, 101, 109, 197, 211, 239, 241, 263, 281, 307, 337, 367, 373, 379, 409, 419, 421, 439, 443, 449, 461, 463, 491, 523, 547, 557, 571, 593, 601, 613, 617, 631, 647, 653, 659, 673, 701, 709, 769, 797, 811, 839, 853, 863, 881, 907, 929, 937, 941, 967 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The first five terms 59, 73, 79, 89, 101 belong to A023209. The terms 409, 419, 421, 439, 443, 449 also belong to A127209. It seems likely that a(n) ~ n log n, can this be proved? - Charles R Greathouse IV, Sep 20 2012 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE 29 is not a member because 29 - 4! = 5 is prime. 59 is a member because 59 - 4! = 35 is composite. PROG (PARI) for(n=3, 5, N=n!; forprime(p=N+3, N*(n+1), if(!isprime(p-N), print1(p", ")))) \\ Charles R Greathouse IV, May 12 2012 (PARI) is_A212266(p)=isprime(p) && for(n=1, p, n!

1))  \\ M. F. Hasler, May 20 2012 CROSSREFS Cf. A212600, A212598, A136437, A023209, A127209. Sequence in context: A139938 A033235 A106913 * A322919 A026050 A347804 Adjacent sequences:  A212263 A212264 A212265 * A212267 A212268 A212269 KEYWORD nonn,easy AUTHOR Balarka Sen, May 12 2012 STATUS approved

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Last modified August 8 23:56 EDT 2022. Contains 356016 sequences. (Running on oeis4.)