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Least area common to n distinct primitive Pythagorean triangles.
1

%I #27 Nov 27 2023 12:29:29

%S 6,210,13123110

%N Least area common to n distinct primitive Pythagorean triangles.

%C a(4) >= 10^17. - _Peter T. C. Radden_, Dec 30 2012

%C a(4) >= 9.3*10^24, found by referencing A283274. - _Frank A. Stevenson_, Nov 26 2023

%e a(2) = 210 is the smallest area common to 2 primitive Pythagorean triangles (viz. triples {20, 21, 29}, {12, 35, 37}); followed by 2730 (triples {60, 91, 109}, {28, 195, 197}); 7980 (triples {95, 168, 193}, {40, 399, 401}); 71610 (triples {341, 420, 541}, {132, 1085, 1093}); ...

%Y Cf. A024407, A055193, A283274.

%K hard,more,nonn,bref

%O 1,1

%A _Lekraj Beedassy_, May 14 2004

%E Corrected by _Ray Chandler_, Jul 02 2004

%E a(0) removed by _Peter T. C. Radden_, Dec 30 2012