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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, 4884, 6822, 8070
(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
Contribution from Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 21 2009: (Start)
Numbers corresponding to a(19)-a(24) are probable primes.
There is no further term up to 8300. (End)
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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 (mymontain(AT)yahoo.com), Feb 26 2004
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CROSSREFS
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Cf. A084748, A084750, A092028, A064278, A002981.
Sequence in context: A005140 A017845 A092026 this_sequence A102453 A032971 A099466
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 (mymontain(AT)yahoo.com), Feb 26 2004
Edited by N. J. A. Sloane (njas(AT)research.att.com) at the suggestion of Artur Jasinski, Apr 14 2008
4884, 6822 and 8070 from Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 21 2009
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