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Search: id:A153975
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| A153975 |
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Values of n such that n^2-3 and n^2+3 are both prime. |
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+0 1
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| 0, 4, 8, 10, 14, 64, 92, 112, 140, 146, 172, 218, 298, 304, 322, 326, 340, 350, 356, 416, 440, 470, 508, 554, 560, 580, 626, 634, 652, 668, 686, 694, 704, 728, 736, 746, 770, 806, 818, 868, 892, 920, 1054, 1082, 1102, 1130, 1156, 1196, 1256, 1264, 1378, 1418
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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4^2-3=13,4^2+3=19 primes,...
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MATHEMATICA
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a[n_]:=n^x-y; b[n_]:=n^x+y; lst={}; x=2; y=3; Do[If[PrimeQ[a[n]]&&PrimeQ[b[n]], AppendTo[lst, n]], {n, 0, 7!}]; lst
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CROSSREFS
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Cf. A028870, A028873, A038599, A153974, A108701
Adjacent sequences: A153972 A153973 A153974 this_sequence A153976 A153977 A153978
Sequence in context: A063087 A120064 A028873 this_sequence A020169 A082934 A144570
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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), Jan 03 2009
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