20120324, 15:00  #78  
Jan 2010
germany
1A_{16} Posts 
Quote:
"...so really all your asking is can 2*m*p+1 divide 2 Mersennes" Sorry. But I do not quite understand what you mean. Can you give me an example ? 

20120324, 15:10  #79  
"Forget I exist"
Jul 2009
Dumbassville
3·2,801 Posts 
Quote:
2*m*p+1 ; m=k*p does 2*m*p+1  2^p1 replace p with q in m=k*p and we have the 2 Mersennes problem talked about before. Last fiddled with by science_man_88 on 20120324 at 15:12 

20120324, 20:37  #80 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3×29×83 Posts 
No, I don't believe so. What he is asking is if there is any factor where n in 2np+1 itself has a factor of p. @sascha: http://mersennearies.sili.net keeps a database similar to PrimeNet except that it shows you detailed information about any factors known, including factoring the n in 2np+1 automatically (though the most common notation calls it k, not n).

20120325, 03:31  #81  
Einyen
Dec 2003
Denmark
2^{2}×7×11^{2} Posts 
Quote:
http://www.mersenne.org/report_expon...&B1=Get+status 

20120325, 04:46  #82 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1110000110101_{2} Posts 
And the equivalent page from the site I showed you:
http://mersennearies.sili.net/expon...tdetails=93077 ATH, how did you find it that fast? 
20120326, 05:44  #83 
Einyen
Dec 2003
Denmark
2^{2}×7×11^{2} Posts 
I had a text file with a lot of GIMPS factors lying around and I just made a program to quickly check if factor1 = 0 (mod p^2).
I now downloaded, I think, the entire GIMPS factor database: 33,545,802 factors up to p=1,000,000,000, and there is NO other example besides p=93077, so this seems to be very rare indeed. All factors of mersenne numbers are of the form 2kp+1, so this case is when k happens to be a multiple of p as well: k=c*p. Last fiddled with by ATH on 20120326 at 05:44 
20120326, 05:46  #84 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
1C35_{16} Posts 
Hmm... James' site goes beyond 1B, and there are definitely some factors know greater than M3.32B...
How exactly did you download all the factors? 
20120326, 07:22  #85 
Mar 2006
Germany
2×1,489 Posts 
See Will Edington's page, for example (middle of the page as *.bz2files).

20120326, 09:09  #86  
Einyen
Dec 2003
Denmark
2^{2}×7×11^{2} Posts 
Quote:
http://www.mersenne.org/report_facto...B1=Get+Factors If you want the factors you can get them from me, so we don't strain the database again for the same factors. 

20120326, 19:12  #87  
Jan 2010
germany
2×13 Posts 
Quote:
Great work !!! I wanted today to check manually all the factors from the http://mersennearies.sili.net site. But you and Dubslow were faster and really found a counterexample. Great. ATH: Can you send the file with the factors to me also ? thanks in advance 

20120326, 21:16  #88  
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
Quote:


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