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-   -   Gratuitous OPN factors (https://www.mersenneforum.org/showthread.php?t=16247)

debrouxl 2012-06-16 19:13

Thanks :smile:

wblipp 2012-07-08 00:58

Here's a sweet one! NFS@Home has finished 197^113-1. This was #36 on the [URL="http://www2.lirmm.fr/~ochem/opn/mostwantedrb2.txt"]MostWanted [/URL]list, and is also a [URL="http://wwwmaths.anu.edu.au/~brent/factors.html"]Brent Composite[/URL]. ECM Prep work was done by yoyo@home.

[code]197^113-1
P117: 654193042124933231729705819315964079079391693299068443398052654744392074475272108852801736929485096089372825217556787
P141: 146798481822028209687892643459179652118308925219381677435287030005797913691721474110569120527062218083794485017934524652073172367972456022763[/code]

jrk 2012-08-10 00:09

577_89_minus1 done
 
1 Attachment(s)
GNFS sieving by RSALS
Postprocessing by jrk
[code]577^89-1
prp56 factor: 49295631504904073070096216816282669955307719136255631817
prp94 factor: 4308802005578606703821714427987260991801379590784300069258774536768919968639250281106839393629
[/code]

jrk 2012-08-12 15:55

4873051_31_minus1 done
 
1 Attachment(s)
SNFS sieving by RSALS
Postprocessing by jrk
[code]4873051^31-1
prp56 factor: 48119378019502750760724612704471032147324636591451363641
prp60 factor: 519462257165232800885052000166910044247275405938465294043901
prp86 factor: 17224823642474512305964705161924455416968067258276145408690942039175421034001438771641
[/code]

debrouxl 2012-08-12 16:39

Thanks :smile:

This morning, I seem to have typed "31000000" instead of "21000000" when queuing 44371_43_minus1 (28-bit LPs). The latter would have provided [i]some[/i] oversieving, the former is going to produce [i]large[/i] oversieving, probably over 50M raw relations. You might want to save the dataset for exercising the filtering code and playing with higher target densities than usual for a task of this size ^^

jrk 2012-08-16 07:07

44371_43_minus1 done
 
1 Attachment(s)
SNFS sieving by RSALS
Postprocessing by jrk
[code]44371^43-1
prp71 factor: 47812678760189581349878685545013719738831351916216583222119406666513053
prp123 factor: 182216502687243221702917343811320172481188910515943939113452316347971130774402778682770251580796421885633073450550808557237
[/code]

Jeff Gilchrist 2012-08-19 11:18

I think I posted the original in the wrong thread, but factors for 677_91_minus1 are available here with log:
[url]http://www.mersenneforum.org/showpost.php?p=308543&postcount=508[/url]

pinhodecarlos 2012-09-03 18:47

1669_67_minus1 done
 
1 Attachment(s)
SNFS sieving by NFS@Home
Postprocessing by Carlos Pinho

Nice split!

[code]prp104 factor: 18344715996075965932129024809458502930590215696581457295863190169248929970537258248238193556864249413121
prp104 factor: 28373516234480422185006116264076049875756547418315623293236155608262057536670587771901480634249274246871[/code]

LaurV 2012-09-04 03:34

[QUOTE=pinhodecarlos;310173]Nice split![/QUOTE]
Wow! Wonderful! Congrats!

pinhodecarlos 2012-09-10 14:19

1583_71_minus1 done
 
1 Attachment(s)
SNFS sieving by NFS@Home
Postprocessing by Carlos Pinho

[code]
1583^71-1
prp88 factor: 1636593409189488379772818401638939729963566399189945302300479482846392701082290749706563
prp137 factor: 56233831883131716478896840379651264442696643524365615058441074120751674946123043467445594763768418176995925089960609165077543971511163451

[/code]

wblipp 2012-09-15 19:51

Pascal has asked for help removing 10 deeply nested roadblocks. The roadblocks are SNFS ready. They range from 157 to 198 digits. These are too small for RSALS/NFS@Home, but they make interesting individual factoring projects. To reserve, post in this thread and I will update this message. C157 added Sept 25.

[size=1]Status: All 11 are factored[/size]

The Composites:
[code]
(5281^43-1)/(5281-1) C157 Dubslow factored
(5011^47-1)/(5011-1) C171 Dubslow factored
(6143^47-1)/(6143-1) C175 Dubslow factored
(2917^53-1)/(2917-1) C181 Mathew factored
(2957^53-1)/(2957-1) C181 Dubslow factored
(3323^53-1)/(3323-1) C184 RichD factored
(1487539^31-1)/(1487539-1) C186 jcrombie factored
(1583653^31-1)/(1583653-1) C186 jcrombie factored
(5087^53-1)/(5087-1) C193 chris2be8 factored
(6269^53-1)/(6269-1) C198 chris2be8 fatored

(2403293005054398937076590802836226619421^5-1)/(5*2403293005054398937076590802836226619420) C157 Dubslow factored
[/code]

FYI, the nested roadblocks that these factorizations will clear are

[code]
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 2917^52
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 2957^52
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 3323^52
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 3329^2 / 1583653^30
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 4397^2 / 1487539^30
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 5011^46
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 5087^52
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 5281^42
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 6143^46
19^238 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 6269^52
19^256 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 5011^46
19^256 / 7^4 2801^82 / 97^1 / 61^2 13^2 3^2 / 653^2 / 2819^2 / 5281^42

3^4 11^18 6115909044841454629^16 / 5^1 / 1913^12 2403293005054398937076590802836226619421^4[/code]


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