|
| |
|
|
A033932
|
|
Least positive m such that n!+m is prime.
|
|
12
|
|
|
|
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 (T. D. Noe to 500), Table of n, a(n) for n = 0..2000
Index entries for sequences related to factorial numbers
|
|
|
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
|
Jeff Burch
|
|
|
EXTENSIONS
|
More terms from Jud McCranie.
a(21) onwards from Wouter Meeussen.
Better description from Rick L. Shepherd, Nov 06 2002
|
|
|
STATUS
|
approved
|
| |
|
|
