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A157184 Lesser of two Pythagorean primes for which the Pythagorean triangles have the same area. 1
29, 109, 193, 541, 673, 709, 3257, 4201, 6217, 8269, 9109, 10957, 12637, 18013, 22717, 23557, 23689, 27329, 33413, 45553, 47737, 48889, 48953, 55001, 55117, 56473, 56737, 59509, 59921, 62297, 65393, 67061, 68909, 75577, 83477, 84221 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Shiv K. Gupta, Areas of Pythagorean Triangles, post to NMBRTHRY list, Dec 23 2008
FORMULA
A157184 = { A002144(k) | exists m>k : A145010(m)=A145010(k) }
PROG
(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)))}
CROSSREFS
Sequence in context: A142194 A139495 A139983 * A232783 A044280 A044661
KEYWORD
nonn
AUTHOR
David Broadhurst, Feb 26 2009
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)