Holy new Mersenne prime, Batman! (M47 related)

[ixfd64]

Here's another article from Scientific American: http://www.sciam.com/blog/60-second-...-cl-2008-09-16

[ATH]

Originally Posted by akruppa

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

No need to check 2^p+1 ? :) Since it would have to be a fermat prime.

Perfectnumbers+1 are not prime either:

p=37156667: 2^(p-1)*(2^p-1)+1 factors: 7,11,44753,202577,1282451377
p=43112609: 2^(p-1)*(2^p-1)+1 factors: 7,211,70121,71647,1846524311
checked up to 10^10.

[ATH]

Originally Posted by R.D. Silverman

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.

I would like to finish the gaps too, but thats considered "poaching", since old slow computers working on low first time numbers. If someone decides something, I'm interested.

[Damian]

Originally Posted by ewmayer

The article in post #727 above says he only ran his PC 6-8 hours a day due to high electricity costs.

He was amazingly unlucky given he has been amazingly lucky.

Does that makes any sense?

[ATH]

Originally Posted by akruppa

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

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

3 | 2^37156667+1
3 | 2^43112609+1

Actually operating modulo 3:
2^odd+1 = 2*2^even+1 = 2*(2^2)^even/2+1 = 2*1^even/2+1 = 0 (mod 3)

[jinydu]

The first known million digits prime was discovered on June 1, 1999. The $50,000 EFF prize was awarded on April 6, 2000, 310 days later.

At that rate, the $100,000 EFF prize will be awarded on June 29, 2009.

Does anyone know when the M38 discovery was published and in what journal?

[argilo]

For those interested in hearing the interview with Jeff Gilchrist, go to http://www.cbc.ca/radio/ and click on the "Pacific" link beside "Listen Live - Radio One". Jeff will be on approximately 20 minutes from now.

[Batalov]

Great show, Jeff! I've listened to the whole number... (rewound all the other stuff though)
"...you can continue now..."
Very nice!
Thanks!

P.S. I guess I have a time machine! Nah, I rented it from CBC... just go to http://www.cbc.ca/asithappens/latestshow.html and use all three parts. The marker for the 1st part would be about 22:00 into the part, then ~15:30 into the 2nd part and the very end of part III.

[argilo]

One minute until Jeff's segment. (See listening instructions in my previous post.)

[ixfd64]

In case anyone hasn't seen my post in the other thread, I've started an article on Wikinews: http://en.wikinews.org/wiki/Two_larg...or_$100k_prize

Feel free to improve it, but please make sure it's accurate!

[jinydu]

Originally Posted by jinydu

Does anyone know when the M38 discovery was published and in what journal?

Never mind, I think I found it. "On the Discovery of the 38th Known Mersenne Prime" by George Woltman. It is on page 367 of Volume 37.4, November 1999 issue, of the Fibonacci Quarterly.