M332193109 from 70 to 71 bits with mfactor. No factors found. 1183 minutes.

Errata to my previous post: 1200 minutes for factoring from 70 to 71. I don't remember timings for 65 to 70.

[QUOTE=gribozavr]Errata to my previous post: 1200 minutes for factoring from 70 to 71. I don't remember timings for 65 to 70.[/QUOTE]
Those 2 timings should be nearly the same - since 65-70 and 70-71 bits both use the same modmul routines, 65-70 should need about 31/32 the time that 70-71 does.

M332193461 from 70 to 71 bits with mfactor. No factors found. 1186 minutes.

M332193751 from 70 to 71 bits with mfactor. No factors found. 1224 minutes.

M332193833 from 70 to 71 bits with mfactor. No factors found. 1253 minutes.

M332193859 from 70 to 71 bits with mfactor. No factors found. 1245 minutes.

A question to mathematicans: where have new factors gone?

We have reached a milestone: all deep mersenne numbers are factored at least to 2^71. :banana:

[QUOTE=gribozavr]M332193859 from 70 to 71 bits with mfactor. No factors found. 1245 minutes.

A question to mathematicans: where have new factors gone?[/QUOTE]You're much less likely to find a factor between 70 and 71 bits than (say) 1-64 bits or 64-70, even though testing 70-71 is roughly as expensive as sieving from scratch up to 70 bits - it's unfair, but that's the mathematics of it.

[QUOTE=ewmayer]You're much less likely to find a factor between 70 and 71 bits than (say) 1-64 bits or 64-70, even though testing 70-71 is roughly as expensive as sieving from scratch up to 70 bits - it's unfair, but that's the mathematics of it.[/QUOTE]

Thanks. I felt that there is a real explanation, not "Newbies are always lucky". :smile:

So, we are going to 72 bits:
M332192897 from 71 to 72 bits with mfactor. No factors found. 2493 minutes.

M332192957 from 71 to 72 bits with mfactor. No factors found. 2396 minutes.

Well...

At the moment I have a lot of stuff to do and too little time to do it in.. As a result I won't be able to do very much on this forum..
Therefore I'm encouraging someone to take over and run this project for some time.

It is no big deal and I could mail a volunteer all the tools I use to update the site and he could move it to whereever he wanted or I could grant him the key to the current Geocity domain.
Sorry for any inconvinence but I am simply over my head right now...

OH

[QUOTE=OmbooHankvald]Well...

At the moment I have a lot of stuff to do and too little time to do it in.. As a result I won't be able to do very much on this forum..
Therefore I'm encouraging someone to take over and run this project for some time.

It is no big deal and I could mail a volunteer all the tools I use to update the site and he could move it to whereever he wanted or I could grant him the key to the current Geocity domain.
Sorry for any inconvinence but I am simply over my head right now...

OH[/QUOTE]

I'm in summer vacation right now... :unsure: