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Date: Sat, 6 Sep 2014 12:53:16 +0200
From: Manolo =?iso-8859-1?Q?Mart=EDnez?= <manolo@austrohungaro.com>
To: Steven D'Aprano <steve+comp.lang.python@pearwood.info>
Subject: Re: Prime testing [was Re: My backwards logic]
References: <1enj0att6bkrnvb81rhma5dbuk3h28agl8@4ax.com> <lueeat$rdu$1@dont-email.me> <540ae440$0$29995$c3e8da3$5496439d@news.astraweb.com>
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Xref: csiph.com comp.lang.python:77658

On 09/06/14 at 08:38pm, Steven D'Aprano wrote:
> But even that's not how the specialists do it. If you want to check whether
> (say) 2**3000+1 is prime, you don't want to use trial division at all...

When I was interested in these things, specialists would use the [number
field sieve](https://en.wikipedia.org/wiki/General_number_field_sieve).

I coded a Mathematica implementation fifteen years ago or so. It was a
lot of work :)

Manolo