[QUOTE=ET_;102383]Next time try to reserve here your range before starting, to avoid duplicate work :wink:

Luigi[/QUOTE]

Sorry for that. Currently I am testing all exponents up to 2^65 - starting with those without known prime factors.

Patrick

[QUOTE=PatrickSchmeer;102392]Sorry for that. Currently I am testing all exponents up to 2^65 - starting with those without known prime factors.

Patrick[/QUOTE]

ALL 48?!? :huh: Let some low exponents for the others... :razz: In the same time you test 48 exponents to 65, you could test 3 of them up to 69.

Luigi

[QUOTE=ET_;102397]ALL 48?!? :huh: Let some low exponents for the others... :razz: In the same time you test 48 exponents to 65, you could test 3 of them up to 69.

Luigi[/QUOTE]

Well, in the last four months I tested zillions of exponents to 69 bits and higher. Everything below 65 bits had already been done before I started in November 2006. :cry:
Anyway, in a few hours I will have finished at least the exponents without known factors.

[QUOTE=PatrickSchmeer;102405]Well, in the last four months I tested zillions of exponents to 69 bits and higher. Everything below 65 bits had already been done before I started in November 2006. :cry:
Anyway, in a few hours I will have finished at least the exponents without known factors.[/QUOTE]

I see what you mean. :rolleyes:

OK, then, go on. You have been the quickest reserving them.
I suggest to switch back to the already factored exponents only when the not-yet-factored ones reach at least 69/70 bits.

Luigi

[QUOTE=ET_;102366]We have 81 exponents at 71 bits or more, 52 exponents at 72 bits or more, 25 exponents at 73 bits or more and so on...[/QUOTE]

My stats never keep up with Luigi's correct ones :sad:

What seems to me is that we have:

[CODE]Bit Depth # of exponents #taken
75 3 0
74 7 1
73 14 0
72 24 0
71 25 3
70 16 2

TOTAL 89[/CODE]

That is, 3 exponents to 75, 10 to 74 or higher, 24 to 73 or higher, 48 to 72 or higher, 73 to 71 or higher and all 89 current project exponents to 70 or higher. I'd say those are all Mersenne numbers without known factors between [whatever the first billion-digit M number is] and M3321933000.

Is there any mistake here? I'd like to please know so that my status file is correct :smile:

[QUOTE=brunoparga;102423]My stats never keep up with Luigi's correct ones :sad:

What seems to me is that we have:

[CODE]Bit Depth # of exponents #taken
75 3 0
74 7 1
73 14 0
72 24 0
71 25 3
70 16 2

TOTAL 89[/CODE]

That is, 3 exponents to 75, 10 to 74 or higher, 24 to 73 or higher, 48 to 72 or higher, 73 to 71 or higher and all 89 current project exponents to 70 or higher. I'd say those are all Mersenne numbers without known factors between [whatever the first billion-digit M number is] and M3321933000.

Is there any mistake here? I'd like to please know so that my status file is correct :smile:[/QUOTE]

I added 48 new exponents today :lol: It seems that there is one more exponent to 75 bits respect to your stats.

Luigi

M3321933469 is composite
 

M3321933469 has a factor: 31007997831543599089 at 64.749 bits (20 digits)

Found today at 19h44m UT (Pentium 4, Factor5). No further factor up to 65 bits (2^65).

Patrick

The following Mersenne numbers have no factors between 2^70 and 2^71:
M3321929573
M3321929827
M3321929909
M3321929927
M3321930173
M3321930371
M3321930401
M3321930439
M3321930461
M3321930517
M3321930613
M3321930977
M3321931057
M3321931061
M3321931163
M3321931619
M3321931919

M3321931919 tested with Factor4, all others with Factor5.

Patrick

[QUOTE=PatrickSchmeer;102441]M3321933469 has a factor: 31007997831543599089 at 64.749 bits (20 digits)

Found today at 19h44m UT (Pentium 4, Factor5). No further factor up to 65 bits (2^65).

Patrick[/QUOTE]

Did you already take all new exponents to 2^65? :surprised :surprised :surprised

Luigi

[QUOTE=ET_;102535]Did you already take all new exponents to 2^65? :surprised :surprised :surprised

Luigi[/QUOTE]

I had expected this question :wink:

All unfactored exponents on the new list have been tested to 65 bits or higher (my report will follow soon). Now I am taking to 66 bits all those unfactored exponents that are still at 65 bits (testing should be completed by tomorrow evening).

When I started working on the new exponents just a few percent of testing M3321930461 had to be done. Today I completed testing the remaining 17 unfactored exponents (on the not yet extended list) that were still at 70 bits.

Patrick

M3321933689 is composite
 

M3321933689 has a factor: 44258400890014668689 at 65.263 bits (20 digits)

Found today at 11h43m UT (Pentium 4, Factor5). No further factor up to 66 bits (2^66).

Patrick