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A308636
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Sequence of 5 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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6
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356498179, 432448789, 5380300469, 10667785241, 11238777509, 12129977791, 23439934621, 28055887949, 33990398249, 34250028521, 34418992099, 34773959159, 34821663421, 36624331189, 40410959231, 43538725229, 47426774869
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OFFSET
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1,1
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LINKS
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Ray Chandler, Table of n, a(n) for n = 1..38
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, t=(s*s+1)/2, u=(t*t+1)/2 and p, q, r, s, t, u are all prime.
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EXAMPLE
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p(1)=356498179, q=63545475815158021, r=63545475815158021, s=2038208257886801569993754841378314277932542447949256249537232302421, ...
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CROSSREFS
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Cf. A048161, A048270, A048295, A308635. Primes in A187431.
Sequence in context: A258610 A227933 A159300 * A125623 A069319 A104850
Adjacent sequences: A308633 A308634 A308635 * A308637 A308638 A308639
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KEYWORD
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nonn
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AUTHOR
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Ray Chandler, Jun 12 2019
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STATUS
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approved
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