Bifalgorithm post · Brisk · Chapter 1

Are the numbers 617,418 and 617,424 congruent modulo 2, 5, and 6?

Are the numbers 617,418 and 617,424 congruent modulo 2, 5, and 6? (Brisk · Chapter 1) — "13. Are the numbers 617,418 and 617,424 congruent mod 2? Yes. The numb…

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Kongruencia de 617,418 y 617,424 módulo 2, 5 y 6
Módulo 2: sí son congruentes
617,418 es exactamente 6 menor que 617,424; al retirar pares, ambos dejan el mismo residuo.
Módulo 5: no son congruentes
Cinco no divide uniformemente la diferencia de 6.
Módulo 6: sí son congruentes
617,418 es exactamente 6 menor que 617,424; al retirar grupos de seis, ambos dejan el mismo residuo.

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Are the numbers 617,418 and 617,424 congruent modulo 2, 5, and 6?

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"13. Are the numbers 617,418 and 617,424 congruent mod 2? Yes. The number 617,418 is ex- actly 6 less than 617,424. If there are k stones left over after removing pairs of stones from 617,418, we’d get three additional pairs if we had in- stead started with 617,424, but then also have exactly k stones left over. 14. Are the numbers 617,418 and 617,424 congruent mod 5? No. Five doesn’t go evenly into six. 15. Are the numbers 617,418 and 617,424 congruent mod 6? Yes. The number 617,418 is ex- actly 6 less than 617,424. If there are k stones left over after removing groups of six from 617,418, we’d get one additional group if we had in- stead started with 617,424, and then have exactly k stones left over."

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