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

1,1

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.

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.

Example

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

Crossrefs

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

Sequence in context: A104844 A086003 A174402 * A257210 A020363 A051965

Adjacent sequences: A048292 A048293 A048294 * A048296 A048297 A048298

Keyword

nonn

Author

Harvey Dubner (harvey(AT)dubner.com)

Extensions

More terms from Ray Chandler, Jun 12 2019

Status

approved