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Search: id:A051859
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| A051859 |
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Values of C (the hypotenuse) of a Pythagorean triangle with A (the short leg) and C both prime and part of a twin prime. |
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+0
5
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| 5, 13, 61, 181, 421, 5101, 60901, 135721, 161881, 163021, 218461, 595141, 1108561, 2574181, 2740141, 3248701, 3535141, 3723721, 3729181, 8197201, 13933921, 20218441, 23605321, 28569241, 33874681, 47248921, 68667481, 69372421
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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All terms of the sequence must be part of a pythagorean triple of the form (2u-1), 2u*(u-1), (2u^2 - 2u + 1). - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 12 2006
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FORMULA
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A051858 + 1, or 2*A051891^2 - 2*A051891 + 1, or 2*A051892^2 + 2*A051892 + 1. - Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 12 2006
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CROSSREFS
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See A051642 for the A's and A051858 for the B's.
Subset of A067756.
Sequence in context: A096639 A092773 A067756 this_sequence A051902 A018678 A093118
Adjacent sequences: A051856 A051857 A051858 this_sequence A051860 A051861 A051862
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KEYWORD
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nonn
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AUTHOR
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Stuart M. Ellerstein (ellerstein(AT)aol.com), Dec 14 1999
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EXTENSIONS
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More terms from Joshua Zucker (joshua.zucker(AT)stanfordalumni.org), May 12 2006
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