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

Author

Lekraj Beedassy, Oct 27 2003

Keywords

• nonn

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.

Extensions

Corrected and extended by Ray Chandler, Oct 28 2003