Pascal's OPN roadblock files - Page 68

lavalamp · 2019-09-22, 19:03

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

lavalamp · 2019-09-23, 01:42

Factored:
SNFS 192: 440089295235970403642553674737477^7-1

About to factor:
SNFS 202: 41442572371^19-1

Going to work on:
SNFS 198: 707236734824410577063252238741697^7-1
SNFS 251: 464731577596114204348798438062707107000729^7-1

lavalamp · 2019-09-27, 20:29

Factored:
SNFS 198: 707236734824410577063252238741697^7-1
SNFS 198: 702775215655004991726460008954589^7-1

Still about to factor (it's resisting):
SNFS 202: 41442572371^19-1

Going to work on:
SNFS 204: 9083122697623048890240666710042599^7-1
SNFS 251: 464731577596114204348798438062707107000729^7-1

lavalamp · 2019-10-05, 04:59

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:
9083122697623048890240666710042599^7-1

These are the ones I'll be working on now, SNFS 200 - 204

Code:

4525492053413126092322061478911449^7-1 (about to finish)
1656076400882376815976253841650927^7-1
2262314083589767587709702376395859^7-1
3284321492144095749319975883891791^7-1
3884164061376631710378317390201017^7-1
7484591086350246919092708017291837^7-1
2038811844077614752925769002050361^7-1
3128557561154894142229197828604789^7-1

On another machine I am still running this, and should have the estimated minimum relations by end of december:
SNFS 251: 464731577596114204348798438062707107000729^7-1

lavalamp · 2019-12-08, 19:23

Woooo! New PB

(p52^7 - 1)/(p52 - 1) = 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.

VBCurtis · 2019-12-08, 20:39

Quote:

Originally Posted by lavalamp

Woooo! New PB

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.

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

RichD · 2019-12-10, 05:12

With the enhancements of CADO using GNFS for factoring, and the optimization of parameters by VBCurtis 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 t2100.txt file 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 here 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 here by EdH. Then, simply download and replace the improved params.c140.txt from this post.

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

RichD · 2019-12-11, 13:20

I will take the following number next from the t2100 file.

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

RichD · 2019-12-13, 14:16

Quote:

Originally Posted by RichD

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

Done. Taking:

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

RichD · 2019-12-13, 18:57

Taking from t2100.txt file.

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

RichD · 2019-12-14, 03:51

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>

2019-10-05, 04:59	#741
lavalamp Oct 2007 Manchester, UK 2·3·223 Posts	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: 9083122697623048890240666710042599^7-1 These are the ones I'll be working on now, SNFS 200 - 204 Code: 4525492053413126092322061478911449^7-1 (about to finish) 1656076400882376815976253841650927^7-1 2262314083589767587709702376395859^7-1 3284321492144095749319975883891791^7-1 3884164061376631710378317390201017^7-1 7484591086350246919092708017291837^7-1 2038811844077614752925769002050361^7-1 3128557561154894142229197828604789^7-1 On another machine I am still running this, and should have the estimated minimum relations by end of december: SNFS 251: 464731577596114204348798438062707107000729^7-1

2019-12-08, 19:23	#742
lavalamp Oct 2007 Manchester, UK 10100111010₂ Posts	Woooo! New PB (p52^7 - 1)/(p52 - 1) = 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. Last fiddled with by axn on 2019-12-09 at 02:44 Reason: p52^7 - 1

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2019-09-22, 19:03	#738
lavalamp Oct 2007 Manchester, UK 2×3×223 Posts	I don't want to derail this thread, so I've made another for this issue here: https://www.mersenneforum.org/showthread.php?t=24783

2019-09-23, 01:42	#739
lavalamp Oct 2007 Manchester, UK 1338₁₀ Posts	Factored: SNFS 192: 440089295235970403642553674737477^7-1 About to factor: SNFS 202: 41442572371^19-1 Going to work on: SNFS 198: 707236734824410577063252238741697^7-1 SNFS 251: 464731577596114204348798438062707107000729^7-1

2019-09-27, 20:29	#740
lavalamp Oct 2007 Manchester, UK 2×3×223 Posts	Factored: SNFS 198: 707236734824410577063252238741697^7-1 SNFS 198: 702775215655004991726460008954589^7-1 Still about to factor (it's resisting): SNFS 202: 41442572371^19-1 Going to work on: SNFS 204: 9083122697623048890240666710042599^7-1 SNFS 251: 464731577596114204348798438062707107000729^7-1

2019-12-10, 05:12	#744
RichD Sep 2008 Kansas 3241₁₀ Posts	With the enhancements of CADO using GNFS for factoring, and the optimization of parameters by VBCurtis 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 t2100.txt file 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 here 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 here by EdH. Then, simply download and replace the improved params.c140.txt from this post. If any are interested they can try their hand - Oh, I mean computer, on these numbers.

2019-12-11, 13:20	#745
RichD Sep 2008 Kansas 7×463 Posts	I will take the following number next from the t2100 file. 19333...01<p88> 2 21483...57<C139>

2019-12-13, 18:57	#747
RichD Sep 2008 Kansas 6251₈ Posts	Taking from t2100.txt file. 45776...73<p85> 2 18275...01<C139>

2019-12-14, 03:51	#748
RichD Sep 2008 Kansas 3241₁₀ Posts	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>