question archive What is the smallest n > 0 for which each congruence relation is true? 3n = 2 (mod 5) 5n = 2 (mod 7) 13n = 7 (mod 10) 9n = 5 (mod 11) 13n = 1 (mod 15) 17n = 95 (mod 101) 5n = 3 (mod 23)

What is the smallest n > 0 for which each congruence relation is true? 3n = 2 (mod 5) 5n = 2 (mod 7) 13n = 7 (mod 10) 9n = 5 (mod 11) 13n = 1 (mod 15) 17n = 95 (mod 101) 5n = 3 (mod 23)

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What is the smallest n > 0 for which each congruence relation is true?

3n = 2 (mod 5)

5n = 2 (mod 7)

13n = 7 (mod 10)

9n = 5 (mod 11)

13n = 1 (mod 15)

17n = 95 (mod 101)

5n = 3 (mod 23)

pur-new-sol

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