find all multiplicands and multipliers for a number

Rustom Mody rustompmody at gmail.com
Tue Apr 14 06:35:37 EDT 2015


On Tuesday, April 14, 2015 at 8:12:17 AM UTC+5:30, Paul Rubin wrote:
> Steven D'Aprano  writes:
> > http://code.activestate.com/recipes/577821-integer-square-root-function/
> 
> The methods there are more "mathematical" but probably slower than what
> I posted.
> 
> Just for laughs, this prints the first 20 primes using Python 3's 
> "yield from":
> 
>     import itertools
> 
>     def sieve(ps):
>         p = ps.__next__()
>         yield p
>         yield from sieve(a for a in ps if a % p != 0)
> 
>     primes = sieve(itertools.count(2))
>     print(list(itertools.islice(primes,20)))
> 
> It's not that practical above a few hundred primes, probably.

Upto 490 its instantaneous
At 500 recursion stack overflows
[Yeah one can set the recursion limit]



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