20090820, 23:40  #1 
Aug 2009
19 Posts 
How Many Mersenne Numbers Left Exponent<10000000
I would be interested to find out how many Mersenne Numbers are left that have an exponent less than 10,000,000. I know that today, August 20th, 2009 it is between 352 and 770 fot the initial check, i.e. the numbers unchecked for M(32582657) and M(37156667). Also, how do you find this number?

20090821, 01:09  #2 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
3^{5}×5^{2} Posts 
Are left for what? I assume you are asking about how many left for testing to find a prime? All exponents less than 10M have been fully checked and double checked. There are none left to test unless you want to test something for another purpose other than finding a new prime.

20090821, 02:16  #3  
"Richard B. Woods"
Aug 2002
Wisconsin USA
17014_{8} Posts 
Quote:
I'm guessing that when you write: "... how many Mersenne Numbers are left ..." you mean" "... how many Mersenne numbers are left to be tested ..." Also, I think you may be confusing two different things: a) the exponent of a Mersenne prime (or any Mersenne number), and b) the number of digits in a particular Mersenne prime (or any Mersenne number). Your posting leads me to guess that when you wrote: "... how many Mersenne Numbers are left [to be tested] that have an exponent less than 10,000,000." you meant: "... how many Mersenne Numbers are left [to be tested] that have fewer than 10,000,000 digits in their decimal form". So what you're asking for is: "Where can I find out how many of the Mersenne Numbers that have fewer than 10,000,000 digits in their decimal form are not yet tested? (Both firsttest and DC) Assuming I'm right, what you need first to answer that is the exponent of the first Mersenne number that has 10,000,000 decimal digits or more. It's 33219278. (That's 9,999,999 divided by the base10 logarithm of 2, then rounded up to the next integer.) You want the number of Mersenne numbers with exponents less than 33219278 that have not yet been tested, if I'm right. You've seen that the GIMPS milestone page at http://mersenne.org/report_milestones/ doesn't keep track of that. I don't know of any other web page that's keeping track of that, either. Someone can go in, get a report of all the exponents not yet firsttimetested or yet DCed, and count how many of those exponents are below 33219278. I'm going to leave it at that for now. If I can do the count, I'll post later. If someone else knows where the counts of untested exponents below 33219278 can be found, please step in here. 

20090821, 02:19  #4 
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}×3×641 Posts 

20090821, 02:26  #5 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
3^{5}×5^{2} Posts 

20090821, 04:57  #6 
Aug 2002
Ann Arbor, MI
1B1_{16} Posts 
If you only know about the Milestones page, and not the Primenet summary page, checking how many exponents are left untested below 32582657 and 37156667 give a lower and upper bound (respectively) on how many are left untested with less than 10 million digits.

20090821, 21:17  #7  
"Richard B. Woods"
Aug 2002
Wisconsin USA
2^{2}×3×641 Posts 
Quote:
Quote:
Do you mean some other PrimeNet page than http://mersenne.org/primenet/ or am I missing something?    One solution would be to add countdowns for exponents delimiting 10,000,000digit (and 100,000,000digit) numbers to the milestone list. Last fiddled with by cheesehead on 20090821 at 21:32 

20090821, 21:45  #8 
Aug 2009
19 Posts 
How Many Mersenne Numbers Left Exponent<10000000
Sorry I meant how many Mersenne Numbers are left to be tested as prime by GIMPS that have an exponent less than 100,000,000? Also how do you find this number?

20090821, 21:57  #9  
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
10AB_{16} Posts 
Quote:
You should be able to figure it out quite easily. Here's a hint: Look at the Status Unproven section up through 100,000,000. Last fiddled with by MiniGeek on 20090821 at 22:07 

20090822, 09:44  #10 
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2×2,909 Posts 
http://www.mersenneforum.org/showthread.php?t=11292 might interest you.

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