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 2012-05-16, 10:06 #4 henryzz Just call me Henry     "David" Sep 2007 Cambridge (GMT/BST) 592110 Posts My aim with this information is to estimate how likely it is for an aliquot sequence with for example 2^4*3*c100 to lose/keep the 3 on the next iteration. $\pi_k(n)=\frac{n(\log\log n)^{k-1}}{(k-1)!\log n}$ should be good enough especially if I can estimate the error. Since I am using this for aliquot sequences I know certain factors do not divide the composite. In the case of 2^4*3*c100 this is 2 and 3(Note I could also do with doing things like 2^4*7 not just the first n primes. The exponent 4 isn't crucial as well.)