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What are the meanings of Zn, In, +n and *n in discrete mathematics and the concept of congruence?
Congruence means that the remainder of two or more integers divided by an integer is the same, for example

8/7= 1 remainder 1 15/7=2 remainder 1

The sum called 8 and 15 are congruent with respect to module 7.

The symbol is three lines (because it can't be typed, the word "three" is used instead)

8 III 17(mod7)

I suggest you check Fermat's last theorem again, which is very useful for congruence.