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A comment on Mod and remainder are not the same. Parent comment
Modulo 4: a clock with only four evenly-spaced marks on it.
17 is congruent to 1 (modulo 4) means:
Starting at the top of the clock, go clockwise one mark.
Starting at the top of the clock, go clockwise seventeen marks.
You'll end up at the same position.
That's congruence.
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Modulo 4: a clock with only four evenly-spaced marks on it.
17 is congruent to 1 (modulo 4) means:
Starting at the top of the clock, go clockwise one mark.
Starting at the top of the clock, go clockwise seventeen marks.
You'll end up at the same position.
That's congruence.