A308635 Sequence of 4 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.

169219, 1370269, 5965699, 15227879, 17750981, 19342559, 21828601, 24861761, 27379621, 34602049, 39844619, 48719711, 50049281, 51649019, 52187371, 52816609, 58026659, 73659239, 79782821, 86569771, 91316801, 96842831, 104572009

Offset: 1

Author

Ray Chandler, Jun 12 2019

Keywords

• nonn

Examples

			p(1)=169219, q=14317534981, r=102495903966079335181, s=5252705164911878795670904374881472151381, ...
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..2625
• H. Dubner and T. Forbes, Prime Pythagorean triangles, J. Integer Seqs., Vol. 4 (2001), #01.2.3.

Crossrefs

Cf. A048161, A048270, A048295, A308636. Primes in A188547.

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 and p, q, r, s, t are all prime.