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 up vote 1 down vote Two different types of answers are already posted listed here. A single kind takes advantage of gcd calculations; the other takes advantage of key factorization. I am going to propose a third form, that's based on the prime factorization approach, but is likely for being considerably faster than primary factorization by itself. It relies on a number of straightforward observations about primary powers -- primary quantities raised to some integral exponent. Briefly, it seems the the very least typical a number of of all figures below some range n is equivalent towards the item of all maximal prime powers
An equal theoretical formulation, combinatory logic, is often perceived as more abstract than lambda calculus and preceded it in creation. Combinatory logic and lambda calculus were both equally initially designed to accomplish a clearer method of the foundations of mathematics.[thirty]
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An alternative to This can be to assemble a lazy iterative sequence, which seems as an Pretty much direct illustration of your sequence:
senderle 86.2k20160184 @steveha, I think you were being on the ideal observe along with your key factorization technique; see the above mentioned for one more optimization that (on my machine) brings about considerably faster code than any from the gcd-centered code below, at the least for big values.
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