41st Known Mersenne Prime Reported!!

dave_0273 · 2004-05-15, 13:13

Ok, trying not to hyperventalate here

Code:

                  ------- Mersenne Exponent Test State -------
 
      Assigned in Tests                 Cleared Since Last Synchronization
 
  Factoring only        :   8374          Factored composite    :  13128
  Lucas-Lehmer testing  :  62619          Lucas-Lehmer composite:  74012
  Double-checking LL    :  14119          Double-checked LL     :  39346
                                          Prime, VERIFIED       :      1
                                          Prime, UNVERIFIED     :      1
  ---------------------- -------          ---------------------- -------
                  TOTAL :  85112                          TOTAL : 126488

Has anyone else seen this???

Is this M41??? Or am reading this wrong??

Someone, can you either confirm or reject this???

George??

PrimeCruncher · 2004-05-15, 14:49

GRRRR! Does somebody have the appropriate data files so I can mine them for information? I KNEW this was going to happen.

tom11784 · 2004-05-15, 14:50

It means someone returned a result stating prime. In two to three weeks or so we'll find out through independent verifications if this is indeed prime, and if so whether it is above or below 20,996,011 meaning 20,996,011 could even be M41.

Only time will tell....

EDIT for Prime's q AGAIN within a min of my post:
Are you talking about status.txt files for now and a day or so ago to see what exponents have had results returned?

PrimeCruncher · 2004-05-15, 14:57

Quote:

Originally Posted by tom11784

EDIT for Prime's q AGAIN within a min of my post:
Are you talking about status.txt files for now and a day or so ago to see what exponents have had results returned?

I'm talking status and cleared for the hour before it appeared on the summary and the hour it appeared. If anyone has them, please PM me and I'll give you my e-mail address.

dave_0273 · 2004-05-15, 15:09

I don't know exactly when it appeared but it was there in the 13:00 "UTC Time" summary. I have the status and cleared files for that hour.

I too am looking for the exact hour which it appeared. Please PM me if you have those files.

Primecruncher:- What did you mean about the "I KNEW this was going to happen"

PrimeCruncher · 2004-05-15, 15:18

No, I am not the discoverer of the prime and I am not omniscient. I wish I were, then I wouldn't have to go digging through data files!

What I meant was that a while back, Xyzzy set up the Opteron so that it would make a copy of each data file every hour. Things have changed and George is now in posession of the Opteron and the archiving isn't available. I just KNEW we'd find another prime and I STILL wouldn't have access to the data files!

dave_0273 · 2004-05-15, 15:24

I can just see it now.... I don't think that I am going to get any sleep until this verification run is complete.

I don't have any basis for this at all, but I am about 50% sure that the result is fake.

However, if it is genuine, my guess is that it is a double check around the 10.5 - 11.5M mark. I can't wait to get my hands on the data files to see what the possibilities are.

Prime95 · 2004-05-15, 15:53

I've downloaded the logs - the server did not email me automatically for some reason. So far the result looks genuine. It was run using version 23 by a top 1000 contributor. If proven correct it will be another world record for GIMPS!!

I've emailed the user for his last save file. That will "definitively" prove the report genuine or bogus. I've also emailed Ernst and Guillermo for CPU time on an official verification run.

Keep your fingers crossed!!

PrimeCruncher · 2004-05-15, 16:02

Quote:

Originally Posted by Prime95

I've downloaded the logs - the server did not email me automatically for some reason. So far the result looks genuine. It was run using version 23 by a top 1000 contributor. If proven correct it will be another world record for GIMPS!!

Top 1000 by GIMPS or PrimeNet? By "world record" do you mean bigger than 20996011?

PrimeCruncher · 2004-05-15, 16:38

Okay, people. Based on Prime95's hints, I've performed an analysis based on all exponents returned 5/15/04 BEFORE 1300 UTC. After eliminating all exponents returned by those not in PrimeNet's top 1000, we are left with 73 possibilities.

Also, the exponent, if prime, is NOT bigger than the current M40. No possibilities are over 20M.

davar55 · 2004-05-15, 17:13

While we're waiting for the EXCITING confirmation:

Has anyone seen THIS conjecture, which is numerically
suggested by and consistent with a simple calculation
with M1 thru "M40": (Check it out)

LIM(n-->infinity) Mn^(1/n) == 3/2

i.e. Mn approx. == K * (3/2)^n for some constant K
i.e. Mn == O((3/2)^N) == BIG-O-OF (3/2)^n

(Possibly) useful for predicting density, if not location,
of MPs, eh?
And the numerical evidence, while brief, is convincing.

2004-05-15, 14:50	#3
tom11784 Aug 2003 Upstate NY, USA 2×163 Posts	It means someone returned a result stating prime. In two to three weeks or so we'll find out through independent verifications if this is indeed prime, and if so whether it is above or below 20,996,011 meaning 20,996,011 could even be M41. Only time will tell.... EDIT for Prime's q AGAIN within a min of my post: Are you talking about status.txt files for now and a day or so ago to see what exponents have had results returned? Last fiddled with by tom11784 on 2004-05-15 at 14:52

2004-05-15, 15:09	#5
dave_0273 Oct 2003 Australia, Brisbane 2×5×47 Posts	I don't know exactly when it appeared but it was there in the 13:00 "UTC Time" summary. I have the status and cleared files for that hour. I too am looking for the exact hour which it appeared. Please PM me if you have those files. Primecruncher:- What did you mean about the "I KNEW this was going to happen" Last fiddled with by dave_0273 on 2004-05-15 at 15:12

2004-05-15, 15:24	#7
dave_0273 Oct 2003 Australia, Brisbane 111010110₂ Posts	I can just see it now.... I don't think that I am going to get any sleep until this verification run is complete. I don't have any basis for this at all, but I am about 50% sure that the result is fake. However, if it is genuine, my guess is that it is a double check around the 10.5 - 11.5M mark. I can't wait to get my hands on the data files to see what the possibilities are. Last fiddled with by dave_0273 on 2004-05-15 at 15:32

2004-05-15, 16:38	#10
PrimeCruncher Sep 2003 Borg HQ, Delta Quadrant 2·3³·13 Posts	Okay, people. Based on Prime95's hints, I've performed an analysis based on all exponents returned 5/15/04 BEFORE 1300 UTC. After eliminating all exponents returned by those not in PrimeNet's top 1000, we are left with 73 possibilities. Also, the exponent, if prime, is NOT bigger than the current M40. No possibilities are over 20M. Last fiddled with by PrimeCruncher on 2004-05-15 at 16:39

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2004-05-15, 14:49	#2
PrimeCruncher Sep 2003 Borg HQ, Delta Quadrant 1010111110₂ Posts	GRRRR! Does somebody have the appropriate data files so I can mine them for information? I KNEW this was going to happen.

2004-05-15, 15:18	#6
PrimeCruncher Sep 2003 Borg HQ, Delta Quadrant 2·3³·13 Posts	No, I am not the discoverer of the prime and I am not omniscient. I wish I were, then I wouldn't have to go digging through data files! What I meant was that a while back, Xyzzy set up the Opteron so that it would make a copy of each data file every hour. Things have changed and George is now in posession of the Opteron and the archiving isn't available. I just KNEW we'd find another prime and I STILL wouldn't have access to the data files!

2004-05-15, 15:53	#8
Prime95 P90 years forever! Aug 2002 Yeehaw, FL 1110100000101₂ Posts	I've downloaded the logs - the server did not email me automatically for some reason. So far the result looks genuine. It was run using version 23 by a top 1000 contributor. If proven correct it will be another world record for GIMPS!! I've emailed the user for his last save file. That will "definitively" prove the report genuine or bogus. I've also emailed Ernst and Guillermo for CPU time on an official verification run. Keep your fingers crossed!!

2004-05-15, 17:13	#11
davar55 May 2004 New York City 3×17×83 Posts	While we're waiting for the EXCITING confirmation: Has anyone seen THIS conjecture, which is numerically suggested by and consistent with a simple calculation with M1 thru "M40": (Check it out) LIM(n-->infinity) Mn^(1/n) == 3/2 i.e. Mn approx. == K * (3/2)^n for some constant K i.e. Mn == O((3/2)^N) == BIG-O-OF (3/2)^n (Possibly) useful for predicting density, if not location, of MPs, eh? And the numerical evidence, while brief, is convincing.