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Which Statements of congruence are true and which are false and why? 177 _= 17 (mod 8) 871 _= 713 (mod 29) 1322 _= 5294 (mod 12) 5141 _= 8353 (mod 11) 13944 _= 8919 (mod 13) 67 x 73 _= 1 x 3 (mod 5) 17 x 18 x 19 x 20 _= 4! (mod 8)
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Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is true for every positive integer a. Then 3a^3 ≡ 3a (mod 3). (3a^3  3a)/3 = k, where k is an integer a^3  a = k Therefore, a^3
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asked by Gyanno on March 21, 2013 
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Which Statements of congruence are true and which are false and why? 177 _= 17 (mod 8) 871 _= 713 (mod 29) 1322 _= 5294 (mod 12) 5141 _= 8353 (mod 11) 13944 _= 8919 (mod 13) 67 x 73 _= 1 x 3 (mod 5) 17 x 18 x 19 x 20 _= 4! (mod 8)
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