Find the in-congruent solutions to
Working backwards I obtain:
Is this correct and if so, is there an easier way to do this?
Hello, dwsmith!
Here is a very primitive solution . . .
Solve:. .
The congruence reduces to: .
This means: .
.[1]
Since is an integer, must be divisible by 13.
We have: .
.[2]
Since is an integer, must be divisible by 10.
The first time this happens is when
Substitute into [2]: .
Substitute into [1]: .
Therefore: .