cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A084750 Numbers k such that k! - p is a prime, where p is the smallest prime > k.

Original entry on oeis.org

4, 5, 10, 11, 12, 14, 29, 53, 81, 90, 116, 236, 323, 346, 1172, 2957, 8400, 14906
Offset: 1

Views

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 16 2003

Keywords

Comments

Numbers k such that k! - NextPrime(k) is prime.
If k != 3, there does not exist a prime p and a number k such that k! - NextPrime(k) < p < k! - 1. - Farideh Firoozbakht, Feb 26 2004

Examples

			10 is in the sequence because 10! = 3628800, NextPrime(10) = 11 and 3628800 - 11 = 3628789 is prime.

Crossrefs

Cf. A084749, A050299, A002982, A064401, A084751.

Programs

  • Mathematica
    Do[If[PrimeQ[k!-NextPrime[k]], Print[k]], {k, 0, 1425}] (* Farideh Firoozbakht, Feb 26 2004 *)

Extensions

More terms from Farideh Firoozbakht, Feb 26 2004
a(16) from Ryan Propper, Jul 09 2005
Edited by N. J. A. Sloane at the suggestion of Ryan Propper, Jan 26 2008
a(17) from Michael S. Branicky, Jun 21 2023
a(18) from Michael S. Branicky, Apr 28 2025
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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