The congruence 5 x^17 + x + 9 = 0 (mod 85) has exactly one

Last updated: 7/14/2022

The congruence 5 x^17 + x + 9 = 0 (mod 85) has exactly one integer solution such that 0 ≤ x₀ < 85. Enter this solution in the input box below. Hint: Note that 85 = 5.17 is the prime factorization of 85.