# prime factorization rsa python

Using the combined help of Modular Exponentiation and GCD , it is able to calculate all the distinct prime factors in no time. # Some existing factorization algorithms can be generating # public and private key of RSA algorithm, by factorization # of modulus N. But they are taking huge time for factorization of # N, in case of P and Q very large. RSA is a well-known cryptosystem used in many cases where secure data transmission is needed. In this tutorial, we are going to explore different methods to find whether a given number is valid or not. For example, what are the factors for 507,906,452,803? Note: The following code sample is experimental as it implements python style iterators for (potentially) infinite sequences. This is a classic ... To factor a large number like n we could of course use the Python Crypto module but we can search for the number on factordb. Trouvé sur python cookbook, c'est de M. Wang def primes(n): if n==2: return [2] elif n<2: return [] s=range(3,n+2,2) mroot = n ** 0.5 half=(n+1)/2 i=0 m=3 while m <= mroot: if s[i]: j=(m*m-3)/2 s[j]=0 while j