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Search: id:A158295
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| A158295 |
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Primes p such that p^3-p-+1 are twin primes. |
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3
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| 2, 11, 31, 41, 239, 521, 2309, 4099, 4409, 4441, 4651, 5009, 5039, 5261, 6481, 6871, 7129, 8609, 9391, 10259, 12841, 13759, 14519, 14879, 14939, 15569, 16871, 18451, 20369, 22441, 24049, 25841, 28151, 28279, 29429, 30181, 30631, 32089, 32299
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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2^3-2=6-+1 = 5,7 primes, 11^3-11-+1 = 1319,1321 primes... Primes p such that p^3+p-+1 are twin primes, so far only one: 3. 3^3+3=30-+1 = primes.
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MATHEMATICA
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lst={}; Do[p=Prime[n]; a=p^3-p; If[PrimeQ[a-1]&&PrimeQ[a+1], AppendTo[lst, p]], {n, 8!}]; lst
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CROSSREFS
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Cf. A120364, A088483
Sequence in context: A119438 A094005 A115058 this_sequence A085041 A121346 A106847
Adjacent sequences: A158292 A158293 A158294 this_sequence A158296 A158297 A158298
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KEYWORD
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nonn
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 15 2009
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