|
| |
|
|
A088332
|
|
Primes of the form n!+1.
|
|
13
| | |
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Of course 2 = 0!+1 = 1!+1 has two such representations.
Prime numbers that are the sum of two factorial numbers. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Nov 08 2010]
|
|
|
LINKS
| T. D. Noe, Table of n, a(n) for n=1..11
|
|
|
FORMULA
| a(n)=A000040(q)=A000142(k)+A000142(m). [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Nov 08 2010]
|
|
|
EXAMPLE
| 3!+1 = 7 is prime.
|
|
|
MATHEMATICA
| lst={}; Do[p=n!+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 3*5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 27 2009]
|
|
|
PROG
| (PARI) factp1prime(n)=for(x=1, n, xf=x!+1; if(isprime(xf), print1(xf", ")))
|
|
|
CROSSREFS
| Cf. A002981 (values of n).
Cf. A000142. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Nov 08 2010]
Sequence in context: A088252 A196303 A048979 * A131959 A202688 A021046
Adjacent sequences: A088329 A088330 A088331 * A088333 A088334 A088335
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Cino Hilliard (hillcino368(AT)gmail.com), Nov 06 2003
|
|
|
EXTENSIONS
| The next term is too large to include.
|
| |
|
|