least residue 5^(10) (mod 11) 5^(12) (mod 11) 1945^(12) (mod 11) i need help on how to start step-by-step
Last edited by mr fantastic; Feb 17th 2009 at 04:56 AM. Reason: Merged posts
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Originally Posted by Sally_Math least residue 5^(10) (mod 11) 5^(12) (mod 11) 1945^(12) (mod 11) i need help on how to start step-by-step You should not know 5^10 = 1(mod 11) by Fermat's little theorem, and so, 5^(12) = 5^2 = 3 (mod 11). Try the same thing with 1945.
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