20210222, 01:32  #1 
Feb 2021
3 Posts 
infinite mersenne prime numbers
2^p  1, where p is prime number is always prime number, for example:
2^7  1 is 127, 2^127  1 is 170141183460469231731687303715884105727, 2^170141183460469231731687303715884105727  1 is big number, but its prime number, so it's eveidnce that there is infinity mersenne prime numbers 
20210222, 01:52  #2 
Sep 2002
Database er0rr
3^{2}·11·37 Posts 
https://primes.utm.edu/mersenne/index.html#unknown
Proving a ~10^51217599719369681875006054625051616349 digit number prime is beyond all known technolgy. Last fiddled with by paulunderwood on 20210222 at 01:54 
20210222, 01:56  #3 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9,419 Posts 

20210222, 01:59  #4 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
9559_{10} Posts 

20210222, 11:20  #5 
"Composite as Heck"
Oct 2017
1100011010_{2} Posts 
Unfortunately you forgot to end with QED so the proof is inadmissible.

20210222, 19:48  #6 
Feb 2021
3 Posts 

20210222, 21:03  #7 
Sep 2002
Database er0rr
3^{2}×11×37 Posts 

20210222, 21:33  #8 
Feb 2021
3 Posts 

20210222, 21:39  #9 
"Viliam Furík"
Jul 2018
Martin, Slovakia
2^{3}·3·19 Posts 

20210222, 21:52  #10 
Feb 2017
Nowhere
7×647 Posts 
MODERATOR NOTE: Thread closed.

20210223, 03:19  #11  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2^{2}×5×307 Posts 
Quote:
Quote:
How back to you go? Because 5 is not a Mersenne prime. And your example above, 2 is not a Mersenne prime either, so the sequence 2, 3, 7, 127, ... doesn't start with a Mersenne prime. And if you conveniently ignore the first term then 3, 7, 127, ... does match your claim, but then 31, 2147483647, ... fails your claim. You can't have it both ways. 

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