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Search: id:A037072
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| A037072 |
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Squares which are the sum of twin prime pairs. |
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+0
2
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| 36, 144, 1764, 2304, 5184, 7056, 8100, 30276, 41616, 69696, 93636, 138384, 166464, 207936, 224676, 298116, 352836, 360000, 412164, 562500, 725904, 777924, 876096, 944784, 956484
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OFFSET
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1,1
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COMMENT
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There are exactly 5^2 squares less than or equal to 1000^2 which are the sum of twin prime pairs.
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EXAMPLE
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36 (square) = 6^2 = 17 + 19 (twin prime pair)
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MATHEMATICA
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lst={}; Do[p=n^2; If[PrimeQ[p/2-1]&&PrimeQ[p/2+1], AppendTo[lst, p]], {n, 0, 7!, 2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Sep 25 2008]
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CROSSREFS
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Cf. A000290, A001359, A006512.
Sequence in context: A110754 A154711 A162992 this_sequence A076432 A003848 A039495
Adjacent sequences: A037069 A037070 A037071 this_sequence A037073 A037074 A037075
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KEYWORD
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nonn
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AUTHOR
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G. L. Honaker, Jr. (honak3r(AT)gmail.com)
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