关于Lucas猜想的简洁初等证明

On the Lucas conjecture succinct elementary prove

利用简洁初等方法证明了Lucas方程x(x + 1) ( 2x + 1) =6y2 仅有正整数解 (x ,y) =( 1,1) ,( 2 4,70 ) ,获得了丢番图方程x(x+ 1) ( 2x + 1) =2py2

We make use elementary theory of number prove Lucas equations x(x+1)(2x+1)=6y 2 positive integer solutions merely are (x,y)=(1,1),(24,70); We also abeain Diophntine equations x(x+1)(2x+1)=2py 2 have Positive integer solutions necessary and sufficiene condition.