A087938 Prime hypotenuse of primitive Pythagorean triangles with odd short leg (or even long leg).

5, 13, 41, 61, 89, 97, 113, 149, 157, 181, 193, 233, 269, 277, 313, 317, 337, 353, 389, 421, 433, 461, 521, 541, 557, 569, 613, 617, 653, 673, 709, 761, 769, 773, 797, 821, 853, 881, 929, 937, 953, 1009, 1013, 1069, 1097, 1109, 1117, 1129, 1201, 1213, 1217

Offset

1,1

Comments

Ordered intersection of A002144 and A081961.

These same triangles have the property that sqrt(h+b) = t, where h = a(n), b is the even long leg, t is an odd integer, and the odd short leg is an odd multiple of t, including some instances where that multiple is 1 (i.e., t equals the short leg). A similar property applies to the triangles of A087937. Also see A008846. - Richard R. Forberg, May 11 2016

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002144, A008846, A081961, A087937.

Sequence in context: A025490 A216824 A230812 * A103729 A234739 A027862

Adjacent sequences: A087935 A087936 A087937 * A087939 A087940 A087941

Keyword

nonn

Author

Lekraj Beedassy, Oct 27 2003

Extensions

Corrected and extended by Ray Chandler, Oct 28 2003

Status

approved