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Search: id:A160859
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| A160859 |
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Primes p such that p^3 + p^2 - 1 and p^3 + p^2 + 1 are prime. |
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+0
1
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| 2, 5, 11, 47, 71, 89, 179, 317, 461, 659, 1481, 1499, 1511, 2141, 2441, 2549, 2777, 2879, 2909, 3221, 3659, 3677, 3701, 4229, 4337, 4691, 5669, 5807, 7517, 8147, 8867, 9029, 9311, 10271, 13907, 14327, 14747, 15107, 15269, 16217, 16301, 16937, 17627
(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 + 2^2 - 1 = 11, 2^3 + 2^2 + 1 = 13
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MATHEMATICA
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lst={}; Do[p=Prime[n]; a=p^2; b=p^3; c=b+a; If[PrimeQ[c-1]&&PrimeQ[c+1], AppendTo[lst, p]], {n, 2*7!}]; lst
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CROSSREFS
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Cf. A160858
Sequence in context: A088148 A088149 A153989 this_sequence A106887 A089609 A087185
Adjacent sequences: A160856 A160857 A160858 this_sequence A160860 A160861 A160862
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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), May 29 2009
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EXTENSIONS
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Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Nov 11 2009
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