20200523, 18:03  #12  
May 2020
101_{2} Posts 
Prime Number
Quote:


20200523, 18:38  #13  
Sep 2002
Database er0rr
3,533 Posts 
Quote:
How many tons of coal are needed to LL test it? What do you calculate the "chance" of being prime is? Let me give you an example prime p=2^825899331 definitely has no small factors. So is 2^p1 prime? Anyone? Last fiddled with by paulunderwood on 20200523 at 18:47 

20200523, 18:58  #14 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
59×157 Posts 

20200523, 21:26  #15 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
1001011101111_{2} Posts 
That reply to my post has nothing to do with my post. It's a ~75.89 bit exponent, making the corresponding Mersenne number untestable for primality or P1 factoring in existing software, or realistic hardware lifetime or memory capacity, and is only factorable by slow cpu TF. But it earns a spot in the dubiousclaims list, for which the track record is zero primes proven to date of several dozen entries; a handful yet to be resolved.
Last fiddled with by kriesel on 20200523 at 21:27 
20200523, 22:04  #16 
"Kieren"
Jul 2011
In My Own Galaxy!
23651_{8} Posts 

20200523, 23:25  #17  
Jul 2003
wear a mask
5^{2}·61 Posts 
Quote:


20200524, 19:52  #18 
"KarlHeinz Hofmann"
Jan 2017
Gr.Rohrheim Germany
5^{2} Posts 
What do you claim ? :
Is 2 ^ 70237298350549551468899 – 1 a prime Number ? or is 2 ^ 102589933 – 1 a prime Number ? Please be accurate with your claims. 
20200525, 20:43  #19  
"Dylan"
Mar 2017
229_{16} Posts 
Quote:
With regards to the second  someone is running a PRP test on it. Assuming the machine that is running it is being run 24/7 on this number and it is a reasonably modern machine, we should know within a few weeks whether it is probably prime (in which case it will be tested with LL to conclude definitively whether it is prime) or not (in which case it's composite). 

20200526, 11:18  #20 
"KarlHeinz Hofmann"
Jan 2017
Gr.Rohrheim Germany
11001_{2} Posts 
Going to 111,67 bit but still no factor. Going further a little bit.

20200530, 09:31  #21 
Oct 2018
Slovakia
97 Posts 
M102589933 is(probably) not prime. I tested with GPUowl.

20200530, 13:59  #22 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2^{3}×1,151 Posts 
Thanks, we can now leave this to rest in peace.

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Rough number behaviour close to record gaps  robert44444uk  Prime Gap Searches  1  20190207 16:41 
Can you find another number like 2200?  goldbug  Puzzles  31  20181208 20:11 
Test a Specific Exponent in Prime95. When it is 100% done, does it mean I find a new prime number?  king  Information & Answers  5  20180221 18:15 
find the missing number  MattcAnderson  Puzzles  10  20170521 01:52 
how do you find number of digits of a 2^n number?  Unregistered  Math  11  20041130 22:53 