I've found one 2.5 poly, nothing higher:

[Code]# norm 4.812076e-015 alpha -8.175556 e 2.540e-012 rroots 5
skew: 148482006.26
c0: -1238447780793382755765603592059867605317216
c1: 88242422845694566768047877591777544
c2: 67795376431909927767177170
c3: -11566682691411357689
c4: -9056225578
c5: 144
Y0: -4084623774300178680058228479279
Y1: 5060421197316083[/Code]

I'll stop my CPU search.

Whoops! Forgot to post polys last night. I'll root-opt day 3's hits after work today, and post any poly over 2.65. Figure ~3pm PST.

Polys for Rich's C156:
[code]N 163727926668678035939618053446364480300300719840063508810834694701350128493871168693101567743639977109458829559656666787504985092716814050668990858237669441
SKEW 4443770.34
R0 -1439162762310151305985933545877
R1 83094555032442241
A0 -3081623850805859813014703690701872960
A1 19895225152660706806335597604984
A2 6506173595158328066483022
A3 -17357755233440455403
A4 -342670817086
A5 26520
#skew 4443770.34, size 4.319e-15, alpha -6.963, combined = 2.628e-12 rroots = 5[/code]
[code]N 163727926668678035939618053446364480300300719840063508810834694701350128493871168693101567743639977109458829559656666787504985092716814050668990858237669441
SKEW 2799412.69
R0 -1146089445280446698217724846984
R1 29984411104464641
A0 -8388623445446886233513062917901701375
A1 8123777995019347585820981509456
A2 5398445052487820593051471
A3 -3891197957664010388
A4 -1016172369612
A5 82800
#skew 2799412.69, size 4.507e-15, alpha -6.202, combined = 2.765e-12 rroots = 5[/code]
[code]# norm 5.303525e-15 alpha -6.605435 e 2.735e-12 rroots 3
skew: 3560259.81
c0: -19678385683479842713810727689926316419
c1: -3515323372412798160291959345372
c2: 10284472571513788944649063
c3: -677003438748934580
c4: -1303052013612
c5: 82800
Y0: -1146089466058024435412079969370
Y1: 29984411104464641[/code]
[code]# norm 5.129176e-15 alpha -7.443734 e 2.664e-12 rroots 3
skew: 5923430.68
c0: 7363619863877099066189424756455574000
c1: -87816982512291327693986566514550
c2: 5021872147528554942695575
c3: -4019356990996257668
c4: -1003034079612
c5: 82800
Y0: -1146089444328891411817539464849
Y1: 29984411104464641[/code]
Tested to 136k, continuing to 200k.

Rich-
I made it to 223k tonight, no new polys above 2.6. Let me know which poly test-sieves best.
Good luck with what is a major factorization for a dual-core!

Thanks very much, Curtis! I really appreciate it. I will keep you updated.

C162_145_107
 

Can anyone find a poly for [url=http://factorization.ath.cx/index.php?id=1100000000824297557]C162_145_107[/url] from the xyyx project? Yoyo@Home found a [url=http://www.rechenkraft.net/yoyo//y_factors_ecm.php]p56 factor[/url] when running a t50 on the original composite, but this stub remains.

I hit it with another 5000 curves @B1=11e7 but no factors appeared. Thanks in advance.

[code]
317276171387814137094730081588585914132300976108786340150077341485854410152809546453666885393752138348009565859136036078529825885281518747554478782903740291440317
[/code]

Here is one to consider.
[CODE]n: 317276171387814137094730081588585914132300976108786340150077341485854410152809546453666885393752138348009565859136036078529825885281518747554478782903740291440317
# expecting poly E from 1.02e-12 to > 1.17e-12
R0: -11054727017512093178106175899527
R1: 2697520015997371
A0: -1595848850011493843815272779708131980
A1: 74846135622674695125625409901507
A2: -122690211004057229818394383
A3: -33978398395527597659
A4: 18365957766498
A5: 1921752
skew: 2363858.62
# skew 2363858.62, size 1.031e-15, alpha -6.793, combined = 1.160e-12 rroots = 5[/CODE]

Thanks RichD! Looks like you found one near the top of the expected range of Murphy e-scores. Many thanks.

An update on my C156 factorization of Aliquot sequence 829332:3605 using a Core2 laptop. I chose the second poly that Curtis found in post #531, and am currently about half-done sieving.

A C158 cofactor needs a poly:

[code]C158_146_114 = 784345583894966778545874873841564542509626268467415455542758804093632112680243228977959082163283429246575383148493598965192345201057754646797194735413460996940443764616744155921956675544505846483164049750161[/code]

Please help :-)

[QUOTE=XYYXF;428879]A C158 cofactor needs a poly:[/QUOTE]

You posted a C207 but I figured out the remaining C158.
Here is a "middle of the road" poly I found through 1M.
Let me know if you want me to look further.
[CODE]N: 11433930510657525802242508694387511425252968036838561546348744842723750468949029726528203609088870758059069144773656767587517029117842540418860251401773887977
# expecting poly E from 1.89e-12 to > 2.18e-12
R0: -1983693185001933911781991366852
R1: 2074876571754517
A0: -127537506448504796520155472670386837015
A1: 147883379800840367566645208682451
A2: -2170511837088282296299855
A3: -16442292485362525883
A4: 1992924800478
A5: 372240
skew: 4246688.60
# skew 4246688.60, size 2.682e-15, alpha -7.202, combined = 2.038e-12 rroots = 3
[/CODE]