[PDF] chinese remainder theorem solution

Therefore, the theorem states that a solution takes the form: x = y1b1m1 + y2b2m2 + y3b3m3 = 3 × 2 × 77 + 6 × 3 × 55 + 6 × 10 × 35 = 3552. Since we may take  Autres questions
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  • How do you find the solution of the Chinese remainder theorem?

    For example, if we know that the remainder of n divided by 3 is 2, the remainder of n divided by 5 is 3, and the remainder of n divided by 7 is 2, then without knowing the value of n, we can determine that the remainder of n divided by 105 (the product of 3, 5, and 7) is 23.

  • What is the Chinese remainder theorem with examples?

    x = 233.
    On further simplification we get, 23 ? 2(mod 3); 23 ? 3(mod 5); 23 ? 2(mod 7) ? 233 ? 23(mod 105) and 23 is the smallest solution.

  • How to solve 233 mod 105?

    The Chinese remainder theorem is a powerful tool to find the last few digits of a power.
    The idea is to find a number mod 5 n 5^n 5n and mod 2 n , 2^n, 2n, and then combine those results, using the Chinese remainder theorem, to find that number mod 1 0 n 10^n 10n.

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