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

Author

Ray Chandler, Jun 12 2019

Keywords

• nonn

Examples

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

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.

Crossrefs

Cf. A048161, A048270, A048295, A308635. Primes in A187431.

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.