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Search: id:A118913
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| A118913 |
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Primes of the form n! + (n+1)! + 1. |
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+0
8
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| 3, 31, 45361, 3991681, 25165066533550192848892402776657770454745668366694171969654123665184894081491271\ 68000000000000001
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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n=3 3! + 4! + 1 = 6 + 24 + 1 = 31
n=7 7! + 8! + 1 = 5040 + 40320 + 1 = 45361
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MAPLE
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P:=proc(n) local i, j; for i from 1 by 1 to n do j:=i!+(i+1)!+1; if isprime(j) then print(j); fi; od; end: P(200);
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MATHEMATICA
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lst={}; Do[p=n!+(n+1)!+1; If[PrimeQ[p], AppendTo[lst, p]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 27 2009]
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CROSSREFS
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indices in A087147 [From Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Oct 21 2008]
Adjacent sequences: A118910 A118911 A118912 this_sequence A118914 A118915 A118916
Sequence in context: A134721 A002707 A144964 this_sequence A005042 A136582 A119937
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KEYWORD
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easy,nonn
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AUTHOR
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Paolo P. Lava and Giorgio Balzarotti (ppl(AT)spl.at), May 25 2006
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EXTENSIONS
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Added the first term, because 0!+1!+1=3 is prime. Dmitry Kamenetsky (dkamen(AT)rsise.anu.edu.au), Oct 21 2008
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