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April 20th, 2010, 11:18 AM   #1
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Some math expert? look at this

Consider the equation a ? x ? 4 Z_64 (the integers modulo 64),
where a is an integer 0 ? a ? 63
For what values of the equation has a one or more solutions?
(Ie for what values of a there are one or more x, so that a ? x ? 4 mod. 64?
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April 21st, 2010, 04:33 PM   #2
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Re: Some math expert? look at this

If then there's no chance because then for some .

Otherwise with and . Then will be a solution, where .

So the answer is when is not a multiple of 8.
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