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-   -   Sieving freakishly big MMs (was "World record" phone number?) (https://www.mersenneforum.org/showthread.php?t=17216)

davieddy 2012-09-23 08:10

Sieving freakishly big MMs (was "World record" phone number?)
 
Isn't the notion rendered nonsense by multiplying all the primes up to (say) a billion together and adding 1?

David

LaurV 2012-09-23 09:00

2*3*5*7*11*13+1=59*509

davieddy 2012-09-23 11:47

[QUOTE=LaurV;312497]2*3*5*7*11*13+1=59*509[/QUOTE]
Hmm.
So the largest prime is > 13.
Euclid must have got it wrong!

rogue 2012-09-23 12:48

That is behind the proof that there are an infinite number of primes.

davieddy 2012-09-23 12:49

[QUOTE=LaurV;312497]2*3*5*7*11*13+1=59*509[/QUOTE]
Nothing beats a refutation as well as a simple counter-example.

retina 2012-09-23 12:56

[QUOTE=davieddy;312491]Isn't the notion rendered nonsense by multiplying all the primes up to (say) a billion together and adding 1?[/QUOTE]Maybe it is composite with all factors less than M43112609?

ATH 2012-09-23 13:52

There are tons of examples in math where we are looking for the interesting cases and ignoring the "trivial" cases which this is. Like the "nontrivial Riemann zeta function zeros".

davieddy 2012-09-23 14:07

[QUOTE=rogue;312508]That is behind the proof that there are an infinite number of primes.[/QUOTE]
Doh.
Forgot that during a senile moment.

ewmayer 2012-09-23 19:00

I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.

davieddy 2012-09-23 19:26

[QUOTE=ewmayer;312561]I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.[/QUOTE]
Now you being Ernigmatic again.

davieddy 2012-09-23 20:16

[QUOTE=ewmayer;312561]I can say with 100% certainty that the smallest prime factor of M(M43112609) is a world record prime, but without an explicit demonstration of such a factor, that is meaningless.[/QUOTE]
Just as well Bob is temporallily indisposed.


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