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Working with congruent and incongruent solutions.

For which integers c, 0<=c<=1001, does the congruence 154x=c(mod1001) have a solution?
When there are solutions how many incongruent solutions are there?

Solution Preview

Since 154=77*2 and 1001=77*13
154x=c (mod 1001) <=> ...

Solution Summary

Cogruent and incongruent solutions are discussed for a given expression.