I was dealing with a problem in a book by David M. Burton.The question is :
Prove that no integer in the following sequence is a perfect square:
11,111,1111,11111,......
thanks
kaka
Last edited by kaka1988; Apr 25th 2010 at 02:44 AM.
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I was dealing with a problem in a book by David M. Burton.The question is :
Prove that no integer in the following sequence is a perfect square:
11,111,1111,11111,......
thanks
kaka
Every integer squared equals . As none of is even, this means that if any of these numbers is a square then . Check that this is impossible.