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A068501
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Values m such that the consecutive pair parameters(m,m+1) generate Pythagorean triples whose odd terms are both prime.
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6
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1, 2, 5, 9, 14, 29, 30, 35, 39, 50, 65, 69, 90, 99, 135, 174, 189, 204, 224, 230, 260, 284, 285, 315, 320, 330, 369, 375, 410, 440, 464, 495, 515, 519, 525, 534, 545, 564, 575, 585, 590, 680, 719, 729, 744, 749, 765, 854, 870, 905, 915, 950, 974, 1080, 1119
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Setting u=m; v=m+1,triples (a,b,c) with a=u+v,b=2*u*v,c=u^2+v^2=(a^2+1)/2 correspond to (A048161, A067755, A067756),a and c being both prime.
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LINKS
| Robert Simms, Pythagorean Triples Generator
Zak Seidov, Table of n, a(n) for n = 1..10000
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MATHEMATICA
| lst={}; Do[If[PrimeQ[(n+1)^2-n^2]&&PrimeQ[(n+1)^2+n^2], AppendTo[lst, n]], {n, 7!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 01 2010]
Reap[Do[a=Prime[k]; If[PrimeQ[(a^2+1)/2], Sow[(a-1)/2]], {k, 2, 10^5}]][[2, 1]](* Zak Seidov, Apr 16 2011 *)
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CROSSREFS
| Cf. A051892.
Sequence in context: A199935 A090937 A071609 * A048071 A051892 A006599
Adjacent sequences: A068498 A068499 A068500 * A068502 A068503 A068504
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KEYWORD
| nonn
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AUTHOR
| Lekraj Beedassy (blekraj(AT)yahoo.com), Mar 25 2002
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EXTENSIONS
| More terms from Larry Reeves (larryr(AT)acm.org), Jun 19 2002
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