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Old 2022-04-13, 11:00   #12
swellman
 
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Default XYYXF Remaining Composites

Here are the XYYXF composites as of April 2022.

One XYYXF is currently in GNFS by NFS@Home (C203_145_119) and has been omitted from the list.
Attached Files
File Type: txt cmplist_Apr_2022.txt (83.4 KB, 72 views)
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Old 2022-04-14, 14:00   #13
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Quote:
Originally Posted by swellman View Post
Here are the XYYXF composites as of April 2022.

One XYYXF is currently in GNFS by NFS@Home (C203_145_119) and has been omitted from the list.
2 hits so far:

http://factordb.com/index.php?id=1000000000044714162
http://factordb.com/index.php?id=1000000000044736161
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Old 2022-04-26, 15:18   #14
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XYYXF composites fully factored by Ryan Propper with ECM to date, shown as y_x_factor

Code:
95 138 137569872848618079168497788857665619070975508959085977
138 148 7148255126578794765422102122909172289268236979484218129
129 134 135670046698656711152317371191955389273883979954729787
111 139 2063202949990066743163751168921243267735542983816410497
81 146 103789758477794842211009755052743245746201848433761791953858611
124 141 133772128399353454302680369792367376604503532782027043821
148 149 164765011194494108378059619015812662809204025271338322937
118 148 3467745961171660748432832903372059871377664084616835703029
117 137 355804711213846224168595689144120149507294880133429929563
*136 150 633173149104321439701718688310849360699588006217613940817
122 145 95036826689253348122504549139573274683669492870863332268717
137 146 3118411803907757802223601737311246433663432677717416325331
129 140 43916092452583705950200190784289292829644462213724298857250903
123 134 8899027269008140316373707126027525152867402686853175806476907
*136^150+150^136 had a c145 stub remaining after ECM but Ryan quickly factored it. His efforts here are much appreciated.

Note that 149^148+148^149 was a SNFS difficulty of 323. Thank goodness for ECM!

Last fiddled with by swellman on 2022-04-26 at 15:22
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Old 2022-05-05, 01:00   #15
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Quote:
Originally Posted by swellman View Post
But the next batch on my list are 4 composites of SNFS 270. Can you run 1000 @65e7 and 800 @12e8 on these? Your efforts would greatly speed thing up.

Code:
C217_146_130
2273736614959600102299788369214860151882556046845135920321491916509566649822233346525551566590304365550486243473007049647802844778464741732324121635941624450635826410351378351500756252260898809587472865957974314446269
First one done (quoted number for clarity), 1000@65e7 and 800@12e8.
Starting second one now.
Haven't finished building the new desktop yet, which is why this is taking 3x as long as I expected.

Last fiddled with by VBCurtis on 2022-05-05 at 01:01
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Old 2022-05-05, 02:00   #16
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Thank you!
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Old 2022-05-12, 13:17   #17
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Yoyo factored C222_141_82 with ECM @B1=260e6 when a p62 fell out. There is much fertile ground remaining for ECM in the XYYXF project at the higher levels (t60 and above).
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Old 2022-05-25, 00:22   #18
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Quote:
Originally Posted by swellman View Post
Can you run 1000 @65e7 and 800 @12e8 on these? Your efforts would greatly speed thing up.

Code:
C214_139_87
4195620243915888279671778712345331475268709716797825786349176460911223003450368828626222652158705793360957647290504936745524043932410659915735237866241362258201645994955743683282475290187203096154867195374771993153
Second ECM run complete, on the number quoted here.
The third of four in the list was factored by yoyo; I'll work on #4 in a week or so when I finish ECM on 13_2_929m1.
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Old 2022-05-25, 00:58   #19
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Much appreciated!
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Old 2022-06-12, 17:48   #20
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Ryan found a p70 in C251_131_128 using ECM with B1=850M. A remarkable find and 131^128+128^131 is fully factored to boot.

Code:
GMP-ECM 7.0.5-dev [configured with GMP 6.2.0, GWNUM 30.4, --enable-asm-redc, --enable-assert] [ECM]
Due to incompatible licenses, this binary file must not be distributed.
Input number is (128^131+131^128)/11993361557350502659918593 (251 digits)
Using B1=850000000, B2=15892628251516, polynomial Dickson(30), sigma=1:2738913657
Step 1 took 2574357ms
Step 2 took 597709ms
********** Factor found in step 2: 
2396647352628340730333265310821035979852802473169960235597808820903739
Found prime factor of 70 digits: 
2396647352628340730333265310821035979852802473169960235597808820903739
Prime cofactor ((128^131+131^128)/11993361557350502659918593)/2396647352628340730333265310821035979852802473169960235597808820903739 has 182 digits
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Old 2022-07-01, 01:27   #21
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Ryan got another big hit, finding a p68 in C238_149_79, followed by GNFS to crack the C172 cofactor (p88 * p83).

Both this factor and the p70 he found in 131^128+128^131 (see prior post) are both in the top 10 factors of 2022 despite using a B1 value of only 850e6 in both cases.
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Old 2022-07-21, 12:52   #22
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296 Composites remain in the 1 < y < x < 151 XYYXF project.

292 SNFS composites
- 4 are enqueued with NFS@Home
- 10 have reached t65+ (these are the remaining C300+ composites). They are extremely difficult to sieve.
- 278 have only reached t55 to date. All need at least t60, most need more.

4 GNFS composites
Code:
C203_147_104
C204_147_118
C195_145_122
C211_147_145
The first two have been fully preprocessed by Yoyo and are ready for poly search and sieving.

C195_145_122 fell out of the sky as a composite cofactor after ECM found a p59. It is now being preprocessed by Yoyo.

C211_147_145 was recently identified as a GNFS job. Test sieving of its SNFS 298 septic polynomial (best of the lot) showed low yield and speed vs sieving performance of a previously factored GNFS 211. But it needs a LOT of ECM.


As with most current factoring projects, the 280 XYYXF composites needing ECM is the most pressing concern. At Yoyo’s current production rate, a single pass of 20,000 curves @B1=260M would take 6-8 years to complete. So any individual efforts would be greatly appreciated and welcome!

A shout out to Ryan for maintaining his ECM efforts on XYYXF.
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