[PDF] chinese remainder theorem word problems pdf

  • What is a solved example of the Chinese remainder theorem?

    Example: Solve the simultaneous congruences x ? 6 (mod 11), x ? 13 (mod 16), x ? 9 (mod 21), x ? 19 (mod 25).
    Solution: Since 11, 16, 21, and 25 are pairwise relatively prime, the Chinese Remainder Theorem tells us that there is a unique solution modulo m, where m = 11?16?21?25 = 92400.

  • What is the Chinese remainder theorem 49 19?

    The Chinese remainder theorem provides with a unique solution to simultaneous linear congruences with the coprime modulo.
    The modulo generally being 100.
    Hence, the last two digits of 49^19 is 49.

  • What is the Chinese remainder theorem 49 19?

    Cryptography: The CRT is used in several cryptographic systems to generate and verify digital signatures.
    For example, the RSA cryptosystem uses CRT to speed up the decryption process.
    It computes the ciphertext modulo of two different primes and then combines the two results using the CRT.

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