Use this theorem to solve the following congruences: (1) x° = 2 mod 35 (2) x1! = 13 mod 35


Use this theorem to solve the following congruences:<br>(1) x° = 2 mod 35<br>(2) x1! = 13 mod 35<br>

Extracted text: Use this theorem to solve the following congruences: (1) x° = 2 mod 35 (2) x1! = 13 mod 35
Theorem. If gcd(e, o(m)) = 1, then for any a e (Z/mZ)*,<br>х 3 а mod m<br>has a unique solution given by x = ad where d is the multiplicative inverse for e modulo o(m).<br>

Extracted text: Theorem. If gcd(e, o(m)) = 1, then for any a e (Z/mZ)*, х 3 а mod m has a unique solution given by x = ad where d is the multiplicative inverse for e modulo o(m).

Jun 05, 2022
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