Let k be a positive integer such that are all prime numbers, and put Show that Deduce that if then . Conclude that if that is, that m is a Carmichael number. I am stumped...
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Maybe you should have gone to Norin's office hours?
That's pretty funny. Now stop stalking each other, guys.
It's easy to see that , , . by Fermat's Little Theorem. From above we now know . Therefore . since we have an integer cubed. Therefore . i.e. .
Last edited by chiph588@; Jan 19th 2010 at 01:14 PM.
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