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Re: Finding the Number of Pythagorean Triples below a bound

  • To: mathgroup at smc.vnet.net
  • Subject: [mg68242] Re: Finding the Number of Pythagorean Triples below a bound
  • From: titus_piezas at yahoo.com
  • Date: Sun, 30 Jul 2006 04:48:29 -0400 (EDT)
  • References: <eaeqa3$53v$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Hello all,

To be specific, I am looking for some code applicable to the more
general bivariate polynomial,

Poly(a,b) = c^2

where {a,b} are positive integers, 0 < a <=b, and of which the
Pythagorean triples are just a special case. The problem is to find
S(10^m) which is the number of solutions with c < 10^m for as "high" as
m=5,6 with a reasonable run-time of, say, an hour or less.

Anybody knows of such code?

-Titus


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