| 41. | The precision of the factorization is maximized using a Newton-type iteration.
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| 42. | More sophisticated algorithms exist, usually inspired by similar algorithms for integer factorization.
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| 43. | This asymmetry is analogous to the one between integer factorization and integer multiplication.
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| 44. | All these algorithms use the algorithms for factorization of polynomials over finite fields.
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| 45. | The number field sieve is the fastest general-purpose factorization algorithm known.
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| 46. | Squarity testing can be used as alternative way in factorization of large numbers.
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| 47. | Cooley Tukey algorithm corresponds closely to a recursive factorization.
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| 48. | The factoring challenge was intended to track the cutting edge in integer factorization.
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| 49. | Cash prizes of varying size were offered for factorization of some of them.
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| 50. | The factor base for this factorization contained 524339 primes.
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