20190103, 10:17  #243 
Aug 2003
Europe
193 Posts 
Congratulations!

20190103, 18:13  #244 
Dec 2018
2_{16} Posts 
Another article

20190104, 05:44  #245  
Romulan Interpreter
Jun 2011
Thailand
2^{2}×7×11×29 Posts 
Quote:


20190104, 15:15  #246 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
3·11·269 Posts 
The new accounts per day has been having some wild gyrations of late:
https://www.mersenne.org/primenet/graphs.php Everytime a new article hits it must be making a difference. 
20190104, 22:06  #247 
"Phil"
Sep 2002
Tracktown, U.S.A.
10001011100_{2} Posts 
What's 13 got to do with it?
Can anyone explain to me why this thread is titled "Lucky 13"?
I would also like to point out the significance of the fact that George Woltman and GIMPS have now discovered 1/3 of the known Mersenne primes. Extending the number of known Mersenne primes (and known perfect numbers) by 50% has never before happened in recorded history. It may, however, have happened in prehistory by the person who came up with the perfect number definition in Euclid's Elements, Book 7 and the proof that, essentially, Mersenne primes generate perfect numbers at the end of Book 9. The first people who formulated the concept of prime number may have discovered that 3, 7, and 31 are all prime, but I believe that the unknown person who is responsible for the perfect number theory in Euclid is also the person who discovered the fact that 496 shared a property with the numbers 6 and 28. This property may have been noticed by Egyptian mathematicians working with fractions in the form that 1/2 + 1/3 + 1/6 = 1, and 1/2 + 1/4 + 1/7 + 1/14 + 1/28 = 1, but I think that the person who extended this property to 496 must have recognized the justification in a way similar to that in Book 9, Proposition 36. 
20190104, 22:25  #248  
Sep 2003
29×89 Posts 
Quote:


20190106, 17:45  #249  
"Jeppe"
Jan 2016
Denmark
A2_{16} Posts 
Quote:


20190106, 18:44  #250  
Sep 2003
29·89 Posts 
Quote:
If we have a similar relative gap after M51, then M52 will be (521/127) * 82589933 = M338813819 Which is actually a prime exponent! And a 100Mdigit Mersenne number!! But... it has factors. But it has a twin prime exponent M338813821 !! Which also has a factor. Seriously... a storybook ending... the exponent at the exact indicated spot being not just a prime but a twin prime... all ruined by a few stupid factors. The nearest actual candidates are M338813749 and M338813953. 

20190107, 06:17  #251 
Romulan Interpreter
Jun 2011
Thailand
10001011100100_{2} Posts 

20190108, 22:52  #252 
"Phil"
Sep 2002
Tracktown, U.S.A.
2^{2}×3^{2}×31 Posts 
Just a correction: The first to search for Mersenne primes via computer was not Raphael Robinson in 1952, but rather the team of Max Newman and Alan Turing, using the University of Manchester Mark I computer in 1951 to search all exponents up to 609 without finding a new prime. Unfortunately, the available memory was not sufficient to test the next prime exponent 621, so they just missed making the first Mersenne prime discovery by computer!

20190108, 23:01  #253  
Sep 2003
29×89 Posts 
Quote:
I'm halfway to memorizing the complete list of Mersenne prime exponents. It's the new digitsofpi. 

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