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A140391 Pythagorean triangle side lengths triples with two lengths prime. 1

%I #6 Mar 13 2021 10:47:47

%S 4,3,5,12,5,13,60,11,61,180,19,181,420,29,421,1740,59,1741,1860,61,

%T 1861,2520,71,2521,3120,79,3121,5100,101,5101,8580,131,8581,9660,139,

%U 9661,16380,181,16381,19800,199,19801,36720,271,36721,60900,349,60901,71820

%N Pythagorean triangle side lengths triples with two lengths prime.

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

%e 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

%K nonn,less

%O 1,1

%A _Juri-Stepan Gerasimov_, Jun 13 2008

%E Edited and extended by _R. J. Mathar_, Jun 17 2008

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