Bifalgorithm post · Brisk · Chapter 1

Are the numbers 617,418 and 617,424 congruent mod 3?

Are the numbers 617,418 and 617,424 congruent mod 3? (Brisk · Chapter 1) — "12. Are the numbers 617,418 and 617,424 congruent mod 3? Yes. The number 617,418 is…

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  • Congruence modulo 3 de 617,418 et 617,424
  • 617,418 et 617,424 sont congrus modulo 3.
  • 617,418 est exactement inférieur de 6 à 617,424.
  • La comparaison se fait en retirant des groupes de trois et en observant le reste.
  • Après le retrait des groupes de trois de 617,418, il reste k pierres.
  • Le reste k vaut nécessairement 0, 1 ou 2.
  • Pour 617,424, on obtient exactement deux groupes de trois supplémentaires.
  • Il reste néanmoins exactement k pierres.
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Are the numbers 617,418 and 617,424 congruent mod 3?

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"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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