A308636 Sequence of 5 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.

356498179, 432448789, 5380300469, 10667785241, 11238777509, 12129977791, 23439934621, 28055887949, 33990398249, 34250028521, 34418992099, 34773959159, 34821663421, 36624331189, 40410959231, 43538725229, 47426774869

Offset

1,1

Links

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.

Formula

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.

Example

p(1)=356498179, q=63545475815158021, r=63545475815158021, s=2038208257886801569993754841378314277932542447949256249537232302421, ...

Crossrefs

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

Keyword

nonn

Author

Ray Chandler, Jun 12 2019

Status

approved