20180122, 15:06  #1 
"Justin Stevens"
Jan 2018
Edmonton, Alberta
2^{2} Posts 
Status of Double Checked LL Test
After two users confirm the same residue using the LucasLehmer test, why doesn't the status of the number change on the report page? For instance, for $M_{47605039}$, despite the LL just being confirmed , the status still says "No factors below $2^{73}$." Possibly I'm misinterpreting how the LL test works in the first place?

20180122, 15:57  #2  
If I May
"Chris Halsall"
Sep 2002
Barbados
2×5,021 Posts 
Quote:
However, the report also shows that although the candidate is known not to be prime (read: there are at least two factors beyond 1 and itself), there are also no known factors below 73 "bits". This is useful knowledge for those who enjoy factoring candidates after they've already been proven composite; this work doesn't help the main GIMPS goal of finding Mersenne primes at all, but some enjoy doing it anyway. Last fiddled with by chalsall on 20180122 at 16:04 Reason: s/factoring candidates/factoring candidates after they've already.../ 

20180122, 16:03  #3 
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·23·137 Posts 
Yeah, LL tests don't find factors. LL can only prove that factors exist, or don't exist. It can't tell you the factors, or the size of the factors, or how many factors. It gives a simple yes/no result about whether there are factors to be found, nothing else.

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