I'm near enough finishing 7211^59-1 to reserve the next one. So reserving:

5981^61-1

(That gives people about 1 day to jump in before I start sieving.)

Chris

And now I'm near enough finishing that to reserve:

6323^61-1

Chris

[QUOTE=chris2be8;376362]And now I'm near enough finishing that to reserve:

6323^61-1
[/QUOTE]

FYI this has had ECM through 51 digits and is ready for NFS.

And now reserving:
6277^61-1

Chris

Thank you all for the factors.

We write N = p^e*m^2 for an OPN.
The latest run took about 12 days to obtain N > 10^2000.
The next goal is m > 10^1000.
This will imply the current bound N > 10^2000 and improve
the bound m > 10^75 used in Pomerance's heuristic argument
[url]http://oddperfect.org/pomerance.html[/url]

We will modify the program to obtain lower bounds on m instead of N.
In the mean time, we already know that the composites from the special prime
(of the form sigma(p^1)) in the txxxx files will be wanted. So we can focus on them.

[QUOTE=Dubslow;395452]
This is starting to seem incredibly lucky...
[/QUOTE]
Great ! I hope your luck will continue.

[QUOTE=Pascal Ochem;398144]In the mean time, we already know that the composites from the special prime (of the form sigma(p^1)) in the txxxx files will be wanted. So we can focus on them.[/QUOTE]

C152 from P216+1 with [code]P216=152771024072926928857945784886008623479609182378900344177707836905000290655049241426995776730384868922928774444636761849440223810615698902420347885296409600571659145081388271095711894142080659603198386078609474117381[/code]
[URL="http://factordb.com/index.php?id=1100000000438703885"]P39 * P113[/URL]

C144 from P155+1 with[code]P155=14498297171857917334951526772126984164090778372773207398200198336284540060598138848459684911326468340718352759804685959050051714500233497843594926266680821
[/code]
[URL="http://factordb.com/index.php?id=1100000000438703306"]P38 * C106[/URL]

C157 from P219+1 with
[code]P219 = 476184457206622780820076876397666564189362745267209879414497335831199062069908227476174609305469306933462437283324503198362046400631727413048714403993077044313547962187554896150001196222321383232698468151528827201982893[/code]
[URL="http://factordb.com/index.php?id=1100000000635707890"]P43 * C114[/URL] by yoyo@home

C149 from P161+1 with
[code]P161 = 90658648800638890796600037831317429016009500938092627207739565847129473006725393863778246303226213491004288300918034628632332994866147787733301467367279719049257[/code]
[URL="1100000000127042352"]P48 * P101[/URL] by yoyo@home

[URL="http://factordb.com/index.php?id=1100000000438703805"]C151[/URL] from [URL="http://factordb.com/index.php?id=1100000000126703476"]P223[/URL]+1 as P43 * P108 by yoyo@home

[QUOTE=wblipp;398383]C144 from P155+1 with[code]P155=14498297171857917334951526772126984164090778372773207398200198336284540060598138848459684911326468340718352759804685959050051714500233497843594926266680821
[/code][URL="http://factordb.com/index.php?id=1100000000438703306"]P38 * C106[/URL][/QUOTE]

I'll factor the C106. I need a number about that size to test one of my scripts and it's more interesting than factoring RSA100 again.

Chris