Factoring With Two Large Primes

نویسندگان

  • Arjen K. Lenstra
  • Mark S. Manasse
چکیده

We describe a modification to the well-known large prime variant of the multiple polynomial quadratic sieve factoring algorithm. In practice this leads to a speed-up factor of 2 to 2.5. We discuss several implementation-related aspects, and we include some examples. Our new variation is also of practical importance for the number field sieve factoring algorithm. 1. Factoring with two large primes Let « > 1 be an odd integer which is not a prime power. For each random integer x satisfying

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تاریخ انتشار 1990