show that 5n+3, where n is an element of prime numbers, can never be a perfect square.

thanks in advance

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- May 11th 2009, 04:19 PMlmasudproof using modular math
show that 5n+3, where n is an element of prime numbers, can never be a perfect square.

thanks in advance - May 11th 2009, 05:08 PMPlato
Can you find an integer

such that $\displaystyle 5\left| {\left( {k \pm \sqrt 3 } \right)} \right.?$*k*

Why or why not?

What does this have to do with this question? - May 12th 2009, 04:59 AMlmasud
thats not what my question is asking but it is an interesting question

- May 12th 2009, 05:04 AMmr fantastic