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Introduction: The Foundation of Cryptographic Security in Integer Factoring Modern cryptography, especially RSA encryption, rests on a fundamental computational challenge: the difficulty of factoring large composite integers into their prime factors. RSA keys are generated by multiplying two large primes, creating a modulus that is easy to compute but resistant to inversion without knowing the

Introduction: The Foundation of Cryptographic Security in Integer Factoring Modern cryptography, especially RSA encryption, rests on a fundamental computational challenge: the difficulty of factoring large composite integers into their prime factors. RSA keys are generated by multiplying two large primes, creating a modulus that is easy to compute but resistant to inversion without knowing the

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