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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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7
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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, 5591, 5669, 6101, 6359, 6361, 7159, 7211, 7489, 8231, 8431, 8761, 9241, 10099, 10139, 11719, 11821, 12239, 12281, 12781
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OFFSET
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1,1
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COMMENTS
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It is conjectured that there are infinitely many such pairs of triangles.
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LINKS
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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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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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STATUS
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approved
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