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 A033932 Least positive m such that n!+m is prime. 14
 1, 1, 1, 1, 5, 7, 7, 11, 23, 17, 11, 1, 29, 67, 19, 43, 23, 31, 37, 89, 29, 31, 31, 97, 131, 41, 59, 1, 67, 223, 107, 127, 79, 37, 97, 61, 131, 1, 43, 97, 53, 1, 97, 71, 47, 239, 101, 233, 53, 83, 61, 271, 53, 71, 223, 71, 149, 107, 283, 293, 271, 769, 131, 271 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Conjecture: No term is a composite number. a(n) is a prime > 3*prime(k), where k is such that prime(k) < n <= prime(k+1). - Amarnath Murthy, Apr 07 2004 LINKS T. D. Noe and Hans Havermann, Table of n, a(n) for n = 0..2000 (T. D. Noe to 500) FORMULA a(n) = A151800(n!) - n!. - Max Alekseyev, Jul 23 2014 MATHEMATICA a[n_] := (an = 1; While[ !PrimeQ[n! + an], an++]; an); Table[a[n], {n, 0, 63}] (* Jean-François Alcover, Dec 05 2012 *) NextPrime[#]-#&/@(Range[0, 70]!) (* Harvey P. Dale, May 18 2014 *) PROG (PARI) for(n=0, 70, k=1; while(!isprime(n!+k), k++); print1(k, ", ")) CROSSREFS Cf. A002981, A033933, A037151, A037153, A056752, A053714. Sequence in context: A159482 A231935 A216835 * A144186 A246458 A153979 Adjacent sequences:  A033929 A033930 A033931 * A033933 A033934 A033935 KEYWORD nice,nonn AUTHOR EXTENSIONS More terms from Jud McCranie a(21) onwards from Wouter Meeussen Better description from Rick L. Shepherd, Nov 06 2002 STATUS approved

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Last modified August 21 22:52 EDT 2018. Contains 313958 sequences. (Running on oeis4.)