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A087938
Prime hypotenuse of primitive Pythagorean triangles with odd short leg (or even long leg).
2
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
CROSSREFS
KEYWORD
nonn
AUTHOR
Lekraj Beedassy, Oct 27 2003
EXTENSIONS
Corrected and extended by Ray Chandler, Oct 28 2003
STATUS
approved