Why should I switch to Python? - Infinity of Primes

Jacek Generowicz jmg at ecs.soton.ac.uk
Wed Apr 5 04:08:38 EDT 2000


Gordon McMillan wrote:

> David C. Ullrich wrote:
>
> > ... Could be that there's a proof of the existence
> > of infinitely many primes using FTA that has some property
> > not shared by Euclid's proof, but "constructive" isn't it.
>
> Oh, come on. There are at least 3 well known constructive
> proofs that all odd numbers are prime:
>
> The mathematician's:
>  3 is prime,
>  5 is prime,
>  7 is prime
>  as so on, by induction.
>
> The physicist's:
>  3 is prime,
>  5 is prime,
>  7 is prime,
>  9 is prime <experimental error>
>  11 is prime...
>
> The computer scientist's:
>  3 is prime,
>  3 is prime,
>  3 is prime ....
>
> - Gordon

The engineer's:
3 is prime,
5 is prime,
7 is prime,
9 is prime,
11 is prime,
13 is prime,
15 is prime,
.
.
.






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