【摘要】 设x,y,z是正整数.如果x2+y2=z2,则称(x,y,z)是一组Pythagoras数.运用初等方法证明了:恰有12组Pythagoras数(x,y,z)适合6(x+y+z)=xy.更多还原

【Abstract】 Let x,y,z be positive integers.lf x2+y2= z2,then(x,y,z) is called a Pythagoras triplet.ln this paper,using some elementary methods,we prove that there exist exactly 12 Pythagoras triplets(x,y,z) satisfying 6(x+ y+ z)= xy.更多还原