To solve the equation 17n - 1 = 75m, one can try setting M = 2 and look for appropriate n through systematic search or trial and error, which does not directly involve the Chinese remainder theorem.
To solve the equation 17n - 1 = 75m by the Chinese remainder theorem, we need to identify the moduli that would be involved. However, the information provided suggests a different approach by setting M = 2. When M is set to 2 in equation 17n - 1 = 75m, we are looking for a value of n such that 17n is 1 more than a multiple of 75.
By trial and error or systematic search, we aim to find an n that satisfies this condition. This isn't a straightforward application of the Chinese remainder theorem, but a search for integers n and m that make the equation true.