Talk:Formulas for generating Pythagorean triples: Difference between revisions

Revision as of 04:22, 26 August 2010

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Triads of the form (2n-1, ((2n-1)²-1)/2, ((2n-1)²-1)/2) commencing with (3,4,5) yield y = 1 and x = 2, 8, 18, 32, ...2n²... for n>=1, whilst triads of the form (4n²-1, 4n, 4n²-1) commencing with (3,4,5) yield x = 2 and y = 1, 9, 25, 49, ...(2n-1)²... for n>=1.

Examination shows that triads where HCF(x,y)>1 are non-primitive. <span style="font-size: smaller;" class="autosigned">—Preceding [[Wikipedia:Signatures|unsigned]] comment added by [[Special:Contributions/210.10.131.45|210.10.131.45]] ([[User talk:210.10.131.45|talk]]) 04:22, 26 August 2010 (UTC)</span><!-- Template:UnsignedIP --> <!--Autosigned by SineBot-->

Examination shows that triads where HCF(x,y)>1 are non-primitive.