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-   -   Holy new Mersenne prime, Batman! (M47 related) (https://www.mersenneforum.org/showthread.php?t=10564)

jinydu 2008-09-16 05:50

[QUOTE=Andi47;142646]George has already answered:[/QUOTE]

I knew that. I had been clinging onto a fading hope that the press would get those things done today.

jasong 2008-09-16 06:18

[QUOTE=jinydu;142648]I knew that. I had been clinging onto a fading hope that the press would get those things done today.[/QUOTE]
Do we know who's going to make the announcement? (So I can actively look for the article)

jrk 2008-09-16 06:26

[quote=jasong;142650]Do we know who's going to make the announcement? (So I can actively look for the article)[/quote]
George said that they're interested in getting it to the AP first.

PatrickSchmeer 2008-09-16 12:29

M45 and M46 finally announced
 
2^43112609-1 (12978189 digits) was found on August 23rd and
2^37156667-1 (11185272 digits) on September 6th.

Check out:
[url]http://www.mersenne.org[/url]

T.Rex 2008-09-16 12:56

Naming of new primes
 
So:

[SIZE="5"][COLOR="Red"]2^37156667-1 is candidate to be M45.
2^43112609-1 is candidate to be M46.[/COLOR][/SIZE]

Till we have checked all exponents before, for sure...

And Chris has not yet [URL="http://primes.utm.edu/mersenne/"]updated[/URL] his page !

Tony

R.D. Silverman 2008-09-16 13:12

[QUOTE=T.Rex;142681]So:

[SIZE="5"][COLOR="Red"]2^37156667-1 is candidate to be M45.
2^43112609-1 is candidate to be M46.[/COLOR][/SIZE]

Till we have checked all exponents before, for sure...

And Chris has not yet [URL="http://primes.utm.edu/mersenne/"]updated[/URL] his page !

Tony[/QUOTE]

It would be nice, from a mathematical point of view, if GIMPS were to
stop looking for NEW primes (now that we have a prime > 10M digits)
and instead were to work on filling in the GAPS.

Also, these primes are quite interesting from a mathematical point of view.

Before revealing what makes these two so interesting, I will give others
a chance to suggest the reason.

Prime95 2008-09-16 13:13

[B]Congratulations and thanks to everyone!!!![/B] GIMPS is a group effort. While a few lucky discoverers get the glory, they couldn't have done it without all the hard work put in by the rest of you.

You are hereby ordered to have a celebratory drink tonight.

Thanks too for your patience during the verification and announcement process.

akruppa 2008-09-16 13:30

Not unexpectedly, they are not a part of a twin prime pair and don't disprove the NMC.

5^2*859 | 2^37156667-3
297253337 | 2^37156667+1

191 | 2^43112609-3
86225219*5259738299*5949540043*12482997260297 | 2^43112609+1

Congrats everyone!

Alex

Nelson 2008-09-16 14:12

[quote=Prime95;142684][B]Congratulations and thanks to everyone!!!![/B]
<>
You are hereby ordered to have a celebratory drink tonight.
<>
quote]

Wilco! Haven't decided whether it will be Tomato Juice spiked with Tobasco or the Plzner Prazdroj in the fridge.

ixfd64 2008-09-16 15:21

Congratulations to everyone involved!

uigrad 2008-09-16 15:29

I noticed that at Wikipedia, the August prime is listed as #47, and the September prime is #46. I suppose this is the way they'll always* be listed now.

M46 is the lowest known prime with more than 10M digits, but M47 won the prize!


*note: "always" is not the correct term, since new mersenne primes less than M47 may still be found.


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