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Search: id:A048270
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| A048270 |
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Sequence of 2 Pythagorean triangles, each with a leg and hypotenuse prime. The leg of the second triangle is the hypotenuse of the first. |
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4
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| 3, 11, 19, 59, 271, 349, 521, 929, 1031, 1051, 1171, 2381, 2671, 2711, 2719, 3001, 3499, 3691, 4349, 4691, 4801, 4999
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Subsequence of A048161. - Lekraj Beedassy (blekraj(AT)yahoo.com), Sep 16 2005
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LINKS
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H. Dubner and T. Forbes, Prime Pythagorean triangles, J. Integer Seqs., Vol. 4 (2001), #01.2.3.
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FORMULA
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For each p(n), there is a q=(p*p+1)/2 and r=(q*q+1)/2 such that p, q, r, are all prime
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EXAMPLE
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P(1)=3 because 3 is prime, 5=(3*3+1)/2 and 13=(5*5+1)/2, 5,13 both prime
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CROSSREFS
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A048161.
Sequence in context: A007520 A163851 A116945 this_sequence A088733 A128996 A075226
Adjacent sequences: A048267 A048268 A048269 this_sequence A048271 A048272 A048273
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KEYWORD
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nonn
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AUTHOR
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Harvey Dubner (harvey(AT)dubner.com)
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EXTENSIONS
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It is conjectured that there is an infinite number of such pairs of triangles.
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