20160513, 18:42  #1 
2^{2}×5×127 Posts 
Wet dreams that the Next Mersenne Prime Is Found
I had received an email discussion the other day from a few friends of mine, claiming that M122628553 and M407363239 are primes based on where the next mersenne prime is. (Although that is not for sure). Both have no known factors up to 2^68. the smaller primes is claimed to be more likelier to be prime. I was hoping this be a thread for other predictions like this.
Last fiddled with by Trejack on 20160513 at 18:46 
20160513, 19:04  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
11×19×47 Posts 

20160513, 19:26  #3 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
291C_{16} Posts 
Inb4 MM

20160513, 20:12  #4 
2^{4}×3×17 Posts 
Here are a few more suggestions for the next Mersenne Primes:
Mersenne 85,885,091 Mersenne 122,628,553 Mersenne 126,745,771 Mersenne 187,046,537 Mersenne 191,458,283 Mersenne 276,036,017 Mersenne 407,363,239 Mersenne 601,171,009 Mersenne 887,184,833 (All are based on the previous link I sent) 
20160513, 21:31  #5  
"Curtis"
Feb 2005
Riverside, CA
5,279 Posts 
Quote:
Or, perhaps you'd like to set odds yourself that any of these "predictions" are actually prime? If you think my 101 odds are a poor bet, why are you calling attention to these numbers at all? 

20160513, 21:39  #6 
If I May
"Chris Halsall"
Sep 2002
Barbados
3^{5}×43 Posts 

20160513, 22:16  #7  
"Forget I exist"
Jul 2009
Dumbassville
2^{6}×131 Posts 
Quote:
for the first exponent there are at very most 2^41 k values to test ( assuming you don't eliminate any due to being composite producing before more testing) and has to be proven to a lower bit level to be prime. the second has 2^39 k values at most to prove up to 68 bits but has a higher bit level to be proven prime by TF ( good luck with that though). 

20160513, 23:51  #8 
Einyen
Dec 2003
Denmark
2^{4}·3^{2}·23 Posts 
M601171009 has a factor: 1121198039728381104943

20160514, 00:08  #9  
"Rashid Naimi"
Oct 2015
Remote to Here/There
2×19×59 Posts 
Quote:
ETA Quote:
Last fiddled with by a1call on 20160514 at 00:15 

20160514, 00:37  #10  
"Forget I exist"
Jul 2009
Dumbassville
20300_{8} Posts 
Quote:


20160514, 00:43  #11  
"Rashid Naimi"
Oct 2015
Remote to Here/There
2×19×59 Posts 
Quote:
Quote:
I think there is a more obvious explanation. Last fiddled with by a1call on 20160514 at 00:47 

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