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Search: id:A084750
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| A084750 |
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Numbers n such that n! - p is a prime, where p is the smallest prime > n. |
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+0
4
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| 4, 5, 10, 11, 12, 14, 29, 53, 81, 90, 116, 236, 323, 346, 1172, 2957
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Numbers n such that n!-NextPrime[n] is prime.
If n != 3, there does not exist a prime p and a number n such that n!-NextPrime[n] < p < n!-1. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 26 2004
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EXAMPLE
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10 is in the sequence because 10!=3628800,NextPrime[10]=11 and 3628800-11 is prime.
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MATHEMATICA
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Do[If[PrimeQ[k!-NextPrime[k]], Print[k]], {k, 0, 1425}] (Firoozbakht)
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CROSSREFS
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Cf. A084749, A050299, A002982, A064401, A084751.
Sequence in context: A060648 A092961 A115945 this_sequence A092027 A131855 A102858
Adjacent sequences: A084747 A084748 A084749 this_sequence A084751 A084752 A084753
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KEYWORD
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more,nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 16 2003
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EXTENSIONS
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More terms from Farideh Firoozbakht (mymontain(AT)yahoo.com), Feb 26 2004
2957 from Ryan Propper (rpropper(AT)stanford.edu), Jul 09 2005
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Ryan Propper, Jan 26 2008
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