Think about Loose Coupling  
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The Quadratic Sieve has running time
O(e^(sqrt(1.125ln(n)ln(ln(n))))) But with certain improvements (such as using Wiedemann's Gaussian Elimination algorithm over GF(2)), it's running time is given by O(e^(sqrt(ln(n)ln(ln(n))))) The Number Field Sieve is better for numbers over 100digits and has running time O(e^(1.9223((ln(n))^1/3(ln(ln(n))))^2/3)) Excuse my notation (but TeX would be overkill). Note: O(stuff) means the magnitude of the running time is < A * stuff for some constant A and all values of n. In reply to Re: Re: Factors
by gumby

