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Search: id:A084749
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| A084749 |
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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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| 0, 1, 2, 3, 4, 5, 6, 7, 10, 33, 44, 48, 52, 64, 73, 92, 119, 182, 487, 603, 987
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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Next term, if it exists, is >4800. - Ryan Propper (rpropper(AT)stanford.edu), Jan 02 2007
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EXAMPLE
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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.
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MATHEMATICA
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Do[If[PrimeQ[k!+NextPrime[k]], Print[k]], {k, 0, 1525}] - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Feb 26 2004
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CROSSREFS
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Cf. A084748, A084750, A092028, A064278, A002981.
Sequence in context: A008814 A005140 A017845 this_sequence A092026 A102453 A032971
Adjacent sequences: A084746 A084747 A084748 this_sequence A084750 A084751 A084752
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KEYWORD
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nonn,more
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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
Edited by njas at the suggestion of Artur Jasinski, Apr 14 2008
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