Concept
Are the numbers 617,418 and 617,424 congruent mod 3?
Stephen Davies, Ph.D. Version 2.2.2 Through Discrete Mathematics A Cool Brisk Walk / Chapter 1
"12. Are the numbers 617,418 and 617,424 congruent mod 3? Yes. The number 617,418 is exactly 6 less than 617,424. Let’s say there are k stones left over after remov- ing groups of three from 617,418. ( k must be 0, 1, or 2, of course.) Now if we did the same remove-groups-of- three thing but starting with 617,424 instead, we’ll have two more groups of three than we did before, but then also have exactly k stones left over."
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