login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A084749 Numbers n such that n! + p is a prime, where p is the smallest prime > n. 3
0, 1, 2, 3, 4, 5, 6, 7, 10, 33, 44, 48, 52, 64, 73, 92, 119, 182, 487, 603, 987, 4884, 6822, 8070 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Next term, if it exists, is >4800. - Ryan Propper, Jan 02 2007
Contribution from Farideh Firoozbakht, Oct 21 2009: (Start)
Numbers corresponding to a(19)-a(24) are probable primes.
There is no further term up to 8300. (End)
LINKS
EXAMPLE
727 = 6! + 7 is a prime but 8! +11 is composite hence 6 is a member but 8 is not.
7 is in the sequence because 7!=5040,NextPrime[7]=11 and 5040+11 is prime.
MATHEMATICA
Do[If[PrimeQ[k!+NextPrime[k]], Print[k]], {k, 0, 1525}] - Farideh Firoozbakht, Feb 26 2004
CROSSREFS
Sequence in context: A230016 A306110 A092026 * A277883 A277196 A102453
KEYWORD
nonn,more
AUTHOR
Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 16 2003
EXTENSIONS
More terms from Farideh Firoozbakht, Feb 26 2004
Edited by N. J. A. Sloane at the suggestion of Artur Jasinski, Apr 14 2008
4884, 6822 and 8070 from Farideh Firoozbakht, Oct 21 2009
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)