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Meet the concept What does it mean for two integers to be multiplicative inverses modulo m? + ↗ Two integers a and b are multiplicative inverses modulo m if their product is congruent to 1 modulo m. This is defined by the condition a b ≡ 1 ( m o d m ) ab \equiv 1 \pmod{m} ab ≡ 1 ( mod m )
Conditions: a and b are integers.; The congruence is taken modulo m.
Two integers a and b are multiplicative inverses modulo m if their product is congruent to 1 modulo m. This is defined by the condition a b ≡ 1 ( m o d m ) ab \equiv 1 \pmod{m} ab ≡ 1 ( mod m )
Conditions: a and b are integers.; The congruence is taken modulo m.
Meet the concept What is the inverse of 5 modulo 7 and how is it computed? + ↗ The inverse of 5 modulo 7 is 3. It is computed using the add-the-modulus method: start with 1, add 7 to get 8 (not a multiple of 5), add 7 again to get 15.
Conditions: Modulus is 7.; Target integer is 5.
The inverse of 5 modulo 7 is 3. It is computed using the add-the-modulus method: start with 1, add 7 to get 8 (not a multiple of 5), add 7 again to get 15.
Conditions: Modulus is 7.; Target integer is 5.