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Search: id:A048295
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| A048295 |
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Sequence of 3 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle. |
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3
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| 271, 349, 3001, 10099, 11719, 12281, 25889, 39901, 46399, 63659, 250361, 264169, 287629, 289049, 312581, 353081, 440681, 473009
(list; graph; listen)
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OFFSET
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1,1
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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), q=(p*p+1)/2, r=(q*q+1)/2, s=(r*r+1)/2, and p, q, r, s are all prime.
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EXAMPLE
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p(5)=271, q=36721, r=674215921, s=227283554064939121
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CROSSREFS
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A048161, A048270.
Adjacent sequences: A048292 A048293 A048294 this_sequence A048296 A048297 A048298
Sequence in context: A108094 A104844 A086003 this_sequence A020363 A051965 A142762
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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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