A157184 - OEIS

A157184

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

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

Table of n, a(n) for n=1..36.

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

Adjacent sequences: A157181 A157182 A157183 * A157185 A157186 A157187

KEYWORD

nonn

AUTHOR

David Broadhurst, Feb 26 2009

STATUS

approved