A140391 Pythagorean triangle side lengths triples with two lengths prime.

4, 3, 5, 12, 5, 13, 60, 11, 61, 180, 19, 181, 420, 29, 421, 1740, 59, 1741, 1860, 61, 1861, 2520, 71, 2521, 3120, 79, 3121, 5100, 101, 5101, 8580, 131, 8581, 9660, 139, 9661, 16380, 181, 16381, 19800, 199, 19801, 36720, 271, 36721, 60900, 349, 60901, 71820

Offset

1,1

Comments

Or: consecutive triples of x=A067755(j), y=A048161(j), z=A067756(j), j>=1.

Links

Table of n, a(n) for n=1..49.

Example

Contains (x,y,z) = (4,3,5) with 4^2+3^2=5^2 and 3 and 5 prime, then (12,5,13) with 12^5+5^2=13^2 and 5 and 13 prime, then (60,11,61) with 60^2+11^2=61^2 etc. x^2+y^2=z^2

Crossrefs

Sequence in context: A226654 A124451 A277261 * A316965 A241284 A019322

Adjacent sequences: A140388 A140389 A140390 * A140392 A140393 A140394

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Jun 13 2008

Extensions

Edited and extended by R. J. Mathar, Jun 17 2008

Status

approved