Mersenne number factored (disbelievers are biting elbows)

[GP2]

The 333rd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3637.

The 48-digit factor was found by James Hintz, and Niels_Mache_Nextcloud was assigned the PRP test.

FactorDB link

Fun fact: the PRP cofactor is exactly 1000 digits long.

[GP2]

The 334th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3413.

The 43-digit factor was found by Alex Kruppa and the PRP test was done by mnd9.

FactorDB link

[wedgingt]

I verified this certificate - for M3413 - just now.


In my data as of the 15th, there are 261 prime exponent Mersenne numbers that are
fully factored, all factors and cofactors proven prime, and 25 prime exponent Mersennes
that are fully factored, the cofactors not proven prime but SPRP to 20+ bases.


Slightly older data is available at the mers project on Sourceforge:


https://sourceforge.net/projects/mers/


... and:


https://mers.sourceforge.io/mersenne.html


I have recently started downloading data from factordb.com to compare with my data
and have found several factors it had that I didn't and vice-versa thru M16328, but it
will take some time - years - to compare all of the factordb.com data with mine since
even downloading data for only one exponent every two minutes sometimes hits their
web server's hourly CPU time limit.


I have been downloading data from mersenne.org (GIMPS) for some years now, which
only takes three weeks or so.


-- Will

[ATH]

Originally Posted by wedgingt

In my data as of the 15th, there are 261 prime exponent Mersenne numbers that are
fully factored, all factors and cofactors proven prime, and 25 prime exponent Mersennes
that are fully factored, the cofactors not proven prime but SPRP to 20+ bases.

Here is the list of the 293 proven + 41 PRP = 334 (probably) fully factored exponents:
https://www.mersenne.ca/prp.php

[wedgingt]

Thank you, ATH; I'll add those to my data.


I was downloading from mersenne.ca automatically at one point, but it was too
much traffic for the web server; I may have time soon to try again.


-- Will

[S485122]

Originally Posted by wedgingt

...
I have recently started downloading data from factordb.com ... but it will take some time - years - to compare all of the factordb.com data with mine since even downloading data for only one exponent every two minutes sometimes hits their web server's hourly CPU time limit.

I have been downloading data from mersenne.org (GIMPS) for some years now, which only takes three weeks or so.

-- Will

Originally Posted by wedgingt

...
I was downloading from mersenne.ca automatically at one point, but it was too much traffic for the web server; I may have time soon to try again.

-- Will

Shouldn't you ask the maintainers of those sites for an export of the data you need : they should be able to give you one of more files to download. (And be willing too since it would prevent their servers being killed by too many queries or using all their allocated bandwidth too quickly :-)

Jacob

[wedgingt]

Originally Posted by S485122

Shouldn't you ask the maintainers of those sites for an export of the data you need : they should be able to give you one of more files to download. (And be willing too since it would prevent their servers being killed by too many queries or using all their allocated bandwidth too quickly :-)

Jacob

Yeah, it's on my list of things to do ... but I'm still catching up with other things,
including improving and documenting the mers package that I've maintained
on and off for 30+ years now - I joined GIMPS _very_ early.


-- Will

[wedgingt]

Originally Posted by ATH

Here is the list of the 293 proven + 41 PRP = 334 (probably) fully factored exponents:
https://www.mersenne.ca/prp.php

I've now written a Perl script to convert the text format download of this page
into the mers format I've been using for 30 years and these are the only
listed factors I didn't already have as of a few days ago.


My next update will, of course, include them and that the cofactors are at least SPRP.



-- Will



M( 3413 )C: 1801386698628063669444450416074615884859831
M( 151013 )C: 61157791169561859593299975690769
M( 174533 )C: 193594572654550537
M( 174533 )C: 91917886778031629891960890057
M( 175631 )C: 92733169
M( 175631 )C: 330463093135534238072561
M( 270059 )C: 540119
M( 270059 )C: 6481417
M( 270059 )C: 7124976157756725967
M( 2327417 )C: 23915387348002001
M( 3464473 )C: 604874508299177
M( 4187251 )C: 72234342371519
M( 4834891 )C: 1701881633
M( 4834891 )C: 70659688575577
M( 5240707 )C: 75392810903
M( 7080247 )C: 156822217506727
M( 7080247 )C: 11283326312536321
M( 7080247 )C: 9632940548330339593
M( 7313983 )C: 305492080276193

[James Heinrich]

Originally Posted by wedgingt

I was downloading from mersenne.ca automatically at one point, but it was too much traffic for the web server; I may have time soon to try again.

Please send me an email (james@mersenne.ca) and I will provide you direct download links of whatever data you want in the format most useful to you. Makes a lot more sense than you hammering my webserver to try and prise out the data you want from an HTML report.

[GP2]

The 335th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3037.

The 50-digit most recent factor was found by Ryan Propper and the PRP test was done by mnd9.

FactorDB link

[wedgingt]

Originally Posted by James Heinrich

Please send me an email (james@mersenne.ca) and I will provide you direct download links of whatever data you want in the format most useful to you. Makes a lot more sense than you hammering my webserver to try and prise out the data you want from an HTML report.

Thanks; I sent you email just now. Let me know, of course, if there's anything else you'd like to know.