A048295 Sequence of 3 Pythagorean triangles, each with a leg and hypotenuse prime. The hypotenuse of each triangle is the leg of the next triangle.

271, 349, 3001, 10099, 11719, 12281, 25889, 39901, 46399, 63659, 169219, 250361, 264169, 287629, 289049, 312581, 353081, 440681, 473009, 502501, 502961, 541951, 594751, 620491, 627911, 632699, 704581, 757111, 762899, 922261, 959269

Offset: 1

Author

Harvey Dubner (harvey(AT)dubner.com)

Keywords

• nonn

Examples

			p(5)=271, q=36721, r=674215921, s=227283554064939121.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..10000
• H. Dubner and T. Forbes, Prime Pythagorean triangles, J. Integer Seqs., Vol. 4 (2001), #01.2.3.

Crossrefs

Cf. A048161, A048270, A308635, A308636. Primes in A188546.

Formula

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.

Extensions

More terms from Ray Chandler, Jun 12 2019