[b]QUEUED AS C181_255xx161_3[/b]
C181 from the OPN t550 file.
P91^3-1 - 2559748633561915802707442930459223465566261478367639818017337979434186929768942720172398161^3-1
Thanks to [B]Max0526[/B] (with his spinning magic wand) this just fits into the 14e queue.
[ a.k.a. Phi_3(Phi_13(Phi_3(Phi_17(7)/14009)/3/7^3/109/751/2659))/3 ]
[CODE]n: 2184104355674031701666232949889790861408815281367584761650200578273244685637684861126850447382741596497054664683555671939656815597830422962024614498614646839996363161113228696193361
lss: 0
Y0: -116393977351596504512610421296072089
Y1: 2891839222643445722
c0: 288735979816870354735984591458533979420573000
c1: 11109739611757125295711738247260489794
c2: 22572443617731077936379864267
c3: -4684754118803936903939
c4: -16835838677492
c5: 408960
skew: 79701611.87
# size 1.304e-17, alpha -7.788, combined = 8.476e-14 rroots = 3
type: gnfs
rlim: 134000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 94
rlambda: 2.7
alambda: 3.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 11806
60M 11452
100M 10101
200M 8864
250M 7297[/CODE]

15e Candidate
 

[b]QUEUED AS C265_4703_73[/b]
C265 from the OPN MWRB file, with an OPN weight of 93,721, is ready for the 15e queue.
[CODE]n: 2576859997429492147226788816226038983087069574562441316045271301051009421474600303015958653846779330984172803410041964216940201960195395875753384167157070567412779641683621750116982215960764022565771928291869873104940978126241058940686600655585214843017413053164161
# 4703^73-1, difficulty: 268.08, skewness: 0.24, alpha: 0.00
# cost: 3.20984e+19, est. time: 15284.93 GHz days (not accurate yet!)
skew: 0.244
c6: 4703
c0: -1
Y1: -1
Y0: 117084591472025534123197243677156493370682241
m: 117084591472025534123197243677156493370682241
type: snfs
rlim: 134000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 94
rlambda: 2.8
alambda: 3.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 9967
60M 8849
100M 9003
150M 7741
200M 7194
250M 6476
300M 6205
350M 5926[/CODE]

[b]QUEUED AS C181_145_89[/b]
C181_145_89 is ready for GNFS. Thanks to all who helped find quality polys for this job using msieve and CADO. Sieve on 15e.
[code]
n: 1390160871520339900134144829682239956053981060629674505539153055566066062265576410743902307455059552340491922450846460125887893770031528799225841648600692992642720678051400911671421
skew: 27838064.04
c0: -31412192938054082008074893660742808411751092
c1: -1351091624670306641837465550189650496
c2: 187197771601835975109616288823
c3: 3551882305387564420071
c4: -212937619014946
c5: 3218280
Y0: -61276547523950057213420823588322875
Y1: 449085128997858177349
# norm 1.883864e-17 alpha -8.303459 e 9.460787e-14 rroots 3
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]


Test sieving on the -a side with Q in blocks of 10K
[code]
Q=40M 29620
Q=70M 29432
Q=100M 32126
Q=150M 29102
Q=200M 31010
[/code]
Suggesting a sieving range of 40M-195M with a target number of relations = 470M

[b]QUEUED AS 13_2_854_m1[/b]
13*2^854-1 has had over a t55 and is ready for SNFS on 15e:
[code]n: 789527735910944595695761136118546290767947057990476317843573529855718851750107760582082761046406967543535075365187348725427283134712110154502161636885321905438472182835983032207073656729624686074087702723181711
skew: 0.52
type: snfs
size: 259
c6: 52
c0: -1
Y1: -1
Y0: 5575186299632655785383929568162090376495104
rlim: 67000000
alim: 100000000
lpbr: 32
lpba: 32
mfbr: 92
mfba: 64
rlambda: 3.9
alambda: 2.7[/code]
I've sent previous candidates in this list to 14e; since 15e is close to empty, it's a nice time to see how matrix size changes from 14e to 15e on similar jobs.
Test-sieving indicates Q-range of 10-95M to yield 420M raw relations: (1k ranges tested)
[code]Q=10M 0.084 sec/rel, 7271 rels
Q=20M 0.098 sec/rel, 7565 rels
Q=40M 0.115 sec/rel, 5349 rels
Q=60M 0.132 sec/rel, 4216 rels
Q=80M 0.132 sec/rel, 3730 rels[/code]

Edit: I'd like to do the matrix.

I apologise for not having pushed any of these to the queue for the last three weeks.

I think they're all pushed now.

[b]QUEUED AS C206_63877469_31[/b]
C206 from the OPN t600 file.
Sieve on ALGEBRAIC side.
[CODE]n: 69405435936968401278976803579112078018352517371124391415709922720117969960353814898436448572141334064811267075254893339905836023730194122434412306867039040179858432379048732782767855169277527175436065364269
# 63877469^31-1, difficulty: 242
lss: 0
c6: 63877469
c0: -1
Y1: -1
Y0: 1063502461347443891056690249655347258349
skew: 0.05
type: snfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 91
rlambda: 2.7
alambda: 3.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
12M 8172
20M 10339
60M 6001
100M 6079
150M 5212
200M 3703
250M 4302[/CODE]

[b]QUEUED AS C171_M17_k43[/b]

C171_M17_k43 of the kosta project, aka the C171 cofactor of 131071^43-1, is ready for SNFS after a solid amount of ECM. All test sieving was performed on 14e.

[code]
n: 843308661350139867210413039441444200641032201621151330634928489651106457899444292018975358586718054746368080996439147596339794186101098121535151045884223767286924049386961
# 131071^43-1, difficulty: 225.17, anorm: -3.38e+031, rnorm: 1.77e+042
# scaled difficulty: 226.96, suggest sieving rational side
# size = 2.214e-011, alpha = 1.690, combined = 1.156e-012, rroots = 2
type: snfs
size: 225
skew: 0.1403
c6: 131071
c0: -1
Y1: -1
Y0: 664578504488039366711823783206715391
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6
[/code]


Test sieving on the -r side with Q in blocks of 10K
[code]
Q=15M 23954
Q=30M 19726
Q=50M 15645
Q=75M 14235
Q=100M 12885
[/code]
Suggesting a sieving range for Q of 15-85M with a target number of relations = 120M.

[b]QUEUED AS C176_552xx829_7[/b]
C176 from the OPN t600 file.
[ a.k.a. Phi_7(Phi_43(13)/119627)/4182863203/p28/p38 ]
P42^7-1
[CODE]n: 69332660877922082537767530768489028323351021382491370365774125187128061567786015233280919959574623253603839347499710319156551450042423660032291852446972210215342161358825636053
# 552781743698966779174737704265497702530829^7-1, difficulty: 250.46, skewness: 1.00, alpha: 2.24
# cost: 8.59773e+18, est. time: 4094.16 GHz days (not accurate yet!)
skew: 1.000
c6: 1
c5: 1
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 552781743698966779174737704265497702530829
type: snfs
rlim: 67000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 91
rlambda: 2.6
alambda: 3.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
14M 8655
20M 9097
60M 7547
100M 6819
150M 5675
200M 5289[/CODE]

Fellow people with access to the nfs@home queues: if you have updated the range on a number which is marked as 'check range', could you remove the mark?

[b]QUEUED AS C226_21377_53 [/b]
C226 from the OPN MWRB file with an OPN weight of 9175.
[CODE]n: 1436321604340152589083512138406810324756408198515695524641134444419607542566287890876803806509435703564816435488310198615047557182183408325105744996737768988868873736257864298247070361431016160988563989079539997997332543698741
# 21377^53-1, difficulty: 233.82, skewness: 5.27, alpha: 0.00
# cost: 2.35407e+18, est. time: 1120.98 GHz days (not accurate yet!)
skew: 5.268
c6: 1
c0: -21377
Y1: -1
Y0: 932225149593696946303265412332864139137
type: snfs
rlim: 67000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 12562
60M 9558
100M 8664
150M 6624
200M 6554[/CODE]

It had been a little while since I last updated a range on 14e. I have just fixed the number of bits to match the polynomial, and expanded the ranges for the three last numbers :smile: