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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 (f.firoozbakht(AT)math.ui.ac.ir), 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.
Adjacent sequences: A084747 A084748 A084749 this_sequence A084751 A084752 A084753
Sequence in context: A060648 A092961 A115945 this_sequence A092027 A131855 A102858
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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 (f.firoozbakht(AT)math.ui.ac.ir), Feb 26 2004
2957 from Ryan Propper (rpropper(AT)stanford.edu), Jul 09 2005
Edited by njas at the suggestion of Ryan Propper, Jan 26 2008
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