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TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every integers a, b, k and m 2. All integers are congruent modulo one 3. A Diophantine equation is named after the Greek mathematician Diophantus

TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every integers a, b, k and m 2. All integers are congruent modulo one 3. A Diophantine equation is named after the Greek mathematician Diophantus

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 30E: 30. Prove that any positive integer is congruent to its units digit modulo .
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TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every integers a, b, k and m 2. All integers are congruent modulo one 3. A Diophantine equation is named after the Greek mathematician Diophantus
Transcribed Image Text:TRUE or FALSE: 1. If a is congruent to b (mod m), then a^k is congruent to bk (mod m) for every integers a, b, k and m 2. All integers are congruent modulo one 3. A Diophantine equation is named after the Greek mathematician Diophantus
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