The 333rd fullyfactored or probablyfullyfactored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3637[/M].
The 48digit factor was found by James Hintz, and Niels_Mache_Nextcloud was assigned the PRP test. [URL="http://factordb.com/index.php?id=1100000001342901609"]FactorDB link[/URL] Fun fact: the PRP cofactor is exactly 1000 digits long. 
The 334th fullyfactored or probablyfullyfactored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3413[/M].
The 43digit factor was found by Alex Kruppa and the PRP test was done by mnd9. [URL="http://factordb.com/index.php?id=1100000001359488027"]FactorDB link[/URL] 
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: [url]https://sourceforge.net/projects/mers/[/url] ... and: [url]https://mers.sourceforge.io/mersenne.html[/url] 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 viceversa 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 
[QUOTE=wedgingt;526166]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.[/QUOTE] Here is the list of the 293 proven + 41 PRP = 334 (probably) fully factored exponents: [url]https://www.mersenne.ca/prp.php[/url] 
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 
[QUOTE=wedgingt;526166]...
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[/QUOTE][QUOTE=wedgingt;526170]... 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[/QUOTE]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 
[QUOTE=S485122;526173]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[/QUOTE] 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 
[QUOTE=ATH;526169]Here is the list of the 293 proven + 41 PRP = 334 (probably) fully factored exponents:
[URL]https://www.mersenne.ca/prp.php[/URL][/QUOTE] 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 
[QUOTE=wedgingt;526170]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.[/QUOTE]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. :smile:

The 335th fullyfactored or probablyfullyfactored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3037[/M].
The 50digit most recent factor was found by Ryan Propper and the PRP test was done by mnd9. [URL="http://factordb.com/index.php?id=1100000001361953237"]FactorDB link[/URL] 
Downloading from mersenne.ca
[QUOTE=James Heinrich;526178]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. :smile:[/QUOTE]
Thanks; I sent you email just now. Let me know, of course, if there's anything else you'd like to know. 
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