I don't want to derail this thread, so I've made another for this issue here:
[url]https://www.mersenneforum.org/showthread.php?t=24783[/url]

Factored:
SNFS 192: [URL="http://www.factordb.com/index.php?query=%28440089295235970403642553674737477%5E7-1%29%2F440089295235970403642553674737476"]440089295235970403642553674737477^7-1[/URL]

About to factor:
SNFS 202: [URL="http://www.factordb.com/index.php?query=41442572371%5E19-1"]41442572371^19-1[/URL]

Going to work on:
SNFS 198: [URL="http://www.factordb.com/index.php?query=%28707236734824410577063252238741697%5E7-1%29%2F707236734824410577063252238741696"]707236734824410577063252238741697^7-1[/URL]
SNFS 251: [URL="http://www.factordb.com/index.php?query=%28464731577596114204348798438062707107000729%5E7-1%29%2F464731577596114204348798438062707107000728"]464731577596114204348798438062707107000729^7-1[/URL]

Factored:
SNFS 198: [URL="http://www.factordb.com/index.php?query=%28707236734824410577063252238741697%5E7-1%29%2F707236734824410577063252238741696"]707236734824410577063252238741697^7-1[/URL]
SNFS 198: [URL="http://www.factordb.com/index.php?query=%28702775215655004991726460008954589%5E7-1%29%2F702775215655004991726460008954588"]702775215655004991726460008954589^7-1[/URL]

Still about to factor (it's resisting):
SNFS 202: [URL="http://www.factordb.com/index.php?query=41442572371%5E19-1"]41442572371^19-1[/URL]

Going to work on:
SNFS 204: [URL="http://www.factordb.com/index.php?query=%289083122697623048890240666710042599%5E7-1%29%2F9083122697623048890240666710042598"]9083122697623048890240666710042599^7-1[/URL]
SNFS 251: [URL="http://www.factordb.com/index.php?query=%28464731577596114204348798438062707107000729%5E7-1%29%2F464731577596114204348798438062707107000728"]464731577596114204348798438062707107000729^7-1[/URL]

As far as I can tell I've factored all remaining p33^7-1 in the t800 file, and I've started on the p34's.

Done 1 so far:
[URL="http://www.factordb.com/index.php?query=%289083122697623048890240666710042599%5E7-1%29%2F9083122697623048890240666710042598"]9083122697623048890240666710042599^7-1[/URL]

These are the ones I'll be working on now, SNFS 200 - 204[CODE][URL="http://www.factordb.com/index.php?query=%284525492053413126092322061478911449%5E7-1%29%2F4525492053413126092322061478911448"]4525492053413126092322061478911449^7-1[/URL] (about to finish)
[URL="http://www.factordb.com/index.php?query=%281656076400882376815976253841650927%5E7-1%29%2F1656076400882376815976253841650926"]1656076400882376815976253841650927^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%282262314083589767587709702376395859%5E7-1%29%2F2262314083589767587709702376395858"]2262314083589767587709702376395859^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%283284321492144095749319975883891791%5E7-1%29%2F3284321492144095749319975883891790"]3284321492144095749319975883891791^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%283884164061376631710378317390201017%5E7-1%29%2F3884164061376631710378317390201016"]3884164061376631710378317390201017^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%287484591086350246919092708017291837%5E7-1%29%2F7484591086350246919092708017291836"]7484591086350246919092708017291837^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%282038811844077614752925769002050361%5E7-1%29%2F2038811844077614752925769002050360"]2038811844077614752925769002050361^7-1[/URL]
[URL="http://www.factordb.com/index.php?query=%283128557561154894142229197828604789%5E7-1%29%2F3128557561154894142229197828604788"]3128557561154894142229197828604789^7-1[/URL][/CODE]

On another machine I am still running this, and should have the estimated minimum relations by end of december:
SNFS 251: [URL="http://www.factordb.com/index.php?query=%28464731577596114204348798438062707107000729%5E7-1%29%2F464731577596114204348798438062707107000728"]464731577596114204348798438062707107000729^7-1[/URL]

Woooo! New PB :grin:

[URL="http://www.factordb.com/index.php?query=%28464731577596114204348798438062707107000729%5E7-1%29%2F464731577596114204348798438062707107000728"](p52^7 - 1)/(p52 - 1)[/URL] = 29 * 43 * p108 * p140

59 days of sieve time on a 3.4 GHz quad core to crack a number with SNFS difficulty 251, not bad.

I'm also nearly done crunching through all the 7^p35-1's in the t800 file, I think only 6 remain.

[QUOTE=lavalamp;532378]Woooo! New PB :grin:
29 * 43 * p108 * p140
59 days of sieve time on a 3.4 GHz quad core to crack a number with SNFS difficulty 251, not bad.
[/QUOTE]

Congrats, sir- both for the size of the project, and the size of the penultimate cofactor. Nice find!

With the enhancements of CADO using GNFS for factoring, and the optimization of parameters by [B]VBCurtis[/B] in and around the C140 range, this introduces home hobbyist to tackle moderately size factoring projects for OPN (Odd Perfect Numbers).

Many numbers in the early part of the [url=http://www.lirmm.fr/~ochem/opn/t2100.txt]t2100.txt file[/url] fit this description. I would guess, though Pascal does not keep track of ECM work, many are ready for GNFS. The format of the file can be found [url=http://www.lirmm.fr/~ochem/opn/]here[/url] but a brief explanation is each line has <base> <exp> <comp> where <comp> is the remaining composite which needs factoring. <exp> is usually 1 or 2 digits. Remaining composites are from (<base>^(<exp>+1))/(<base>-1).

A great write up for installing CADO can be found [url=https://www.mersenneforum.org/showthread.php?t=23089]here[/url] by [B]EdH[/B]. Then, simply download and replace the improved params.c140.txt from [url=https://www.mersenneforum.org/showpost.php?p=513167&postcount=4]this post[/url].

If any are interested they can try their hand - Oh, I mean computer, on these numbers. :smile:

I will take the following number next from the [url=http://www.lirmm.fr/~ochem/opn/t2100.txt]t2100[/url] file.

19333...01<p88> 2 21483...57<C139>

[QUOTE=RichD;532626]19333...01<p88> 2 21483...57<C139>[/QUOTE]

Done. Taking:

65319...23<p92> 2 31507...53<C139>

Taking from t2100.txt file.

45776...73<p85> 2 18275...01<C139>

These are going pretty quickly with the CADO package. Beginning mid-day tomorrow I will start with the C140s and leave the C139s (and C141s) for others. Beginning with and progressing sequentially through the t2100.txt file starting at:

44042...21<p130> 2 10336...57<C140>