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Lesser of two Pythagorean primes for which the Pythagorean triangles have the same area.
1

%I #5 Sep 11 2018 08:56:31

%S 29,109,193,541,673,709,3257,4201,6217,8269,9109,10957,12637,18013,

%T 22717,23557,23689,27329,33413,45553,47737,48889,48953,55001,55117,

%U 56473,56737,59509,59921,62297,65393,67061,68909,75577,83477,84221

%N Lesser of two Pythagorean primes for which the Pythagorean triangles have the same area.

%H Shiv K. Gupta, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;d5ff2a3a.1708">Areas of Pythagorean Triangles</a>, post to NMBRTHRY list, Dec 23 2008

%F A157184 = { A002144(k) | exists m>k : A145010(m)=A145010(k) }

%o (PARI) {Q=Qfb(1,0,1); forprime(p=5,10^5, p%4==1|next; t=qfbsolve(Q,p); A=t[1]*t[2]*(t[1]^2-t[2]^2); fordiv( A,d, if( issquare(d^2+(2*A/d)^2,&q) && isprime(q) && q>p, print1(p", ");break)))}

%K nonn

%O 1,1

%A _David Broadhurst_, Feb 26 2009