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Search: id:A064278
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| A064278 |
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Numbers n such that n! + prime(n) is prime. |
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+0
4
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| 1, 2, 3, 4, 5, 6, 9, 11, 17, 18, 25, 31, 40, 96, 174, 193, 204, 269, 523, 650, 659, 797, 1437, 1862, 2515, 4983
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The numbers corresponding to 2515 and 4983 are probable primes. [From F. Firoozbakht (mymontain(AT)yahoo.com), Oct 15 2009]
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EXAMPLE
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n=5: 5! = 120 and prime(5) = 11, 120+11 = 131.
6 is listed because 6!+p(6)=720+13=733 is prime
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MATHEMATICA
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Do[ If[ PrimeQ[ n! + Prime[ n ] ], Print[ n ] ], {n, 1, 700} ]
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PROGRAM
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(PARI) for(n=1, 100, if(isprime(n!+prime(n)), print(n)))
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CROSSREFS
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Cf. A063499 "Primes of form p(n) + n!, where p(n) is the n-th prime." [From Alexander R. Povolotsky (pevnev(AT)juno.com), Aug 13 2008]
Sequence in context: A036023 A119952 A102571 this_sequence A125155 A091179 A036027
Adjacent sequences: A064275 A064276 A064277 this_sequence A064279 A064280 A064281
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Sep 24 2001
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 28 2001
More terms from John Sillcox (JMS21187(AT)aol.com), Apr 05 2003
Two more terms from F. Firoozbakht (mymontain(AT)yahoo.com), Oct 15 2009
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