15e Candidate
 

[B]QUEUED AS 9547_67m1[/B]

C263 from the MWRB file with OPN weight 27788.
Ready for the 15e queue.
[CODE]n: 46909670435707515758821011222900460956532822711460237625607599279905887633327954199062612605340264640269163500417566798218213844076097592133876722161040666973487531460154687792508894501498978632491282419012954505314607934544850214843915868409048202817775140192197
# 9547^67-1, difficulty: 266.65, skewness: 0.22, alpha: 0.00
# cost: 2.88973e+19, est. time: 13760.62 GHz days (not accurate yet!)
skew: 0.217
c6: 9547
c0: -1
Y1: -1
Y0: 60053199171047433870359986407514260895382803
type: snfs
rlim: 134000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.6
alambda: 2.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 11437
60M 10152
100M 10223
200M 8125
270M 7450[/CODE]

Is it OK if I start sieving on F1865 when sieving on 41284013010997_19m1 finishes?

(F1865 was queued quite some time ago so will immediately be the highest-priority number; therefore I'm trying to queue one Fibonacci/Lucas at a time)

I suspect I'll finish one or two large Fibonacci numbers locally before the queue has drained enough for more submissions ... trial-sieving is indicating that 15e is still better than 16e for GNFS at log(N)=198 so I have a couple of jobs which I could either run locally or on NFS@home 15e.

I don't think it makes sense to run any more SNFS quartics at difficulty >245 on 15e, which means they probably do end up being run locally by me.

[QUOTE=fivemack;526508]Is it OK if I start sieving on F1865 when sieving on 41284013010997_19m1 finishes?

(F1865 was queued quite some time ago so will immediately be the highest-priority number; therefore I'm trying to queue one Fibonacci/Lucas at a time)

I suspect I'll finish one or two large Fibonacci numbers locally before the queue has drained enough for more submissions ... trial-sieving is indicating that 15e is still better than 16e for GNFS at log(N)=198 so I have a couple of jobs which I could either run locally or on NFS@home 15e.

[COLOR="Red"]I don't think it makes sense to run any more SNFS quartics at difficulty >245 on 15e, which means they probably do end up being run locally by me[/COLOR].[/QUOTE]

Can you expand on this last point? Are such numbers more appropriate for 16e, or is there some other impediment to doing e.g. a SNFS-250 quartic on 15e?

[QUOTE=fivemack;526508]... trial-sieving is indicating that 15e is still better than 16e for GNFS at log(N)=198 so I have a couple of jobs which I could either run locally or on NFS@home 15e.

I don't think it makes sense to run any more SNFS quartics at difficulty >245 on 15e, which means they probably do end up being run locally by me.[/QUOTE]

I fully support running 197-199 GNFS on 15e, and I'll be happy to poly select and solve a matrix in support of such an endeavor.

[QUOTE=fivemack;526508]Is it OK if I start sieving on F1865 when sieving on 41284013010997_19m1 finishes?[/QUOTE]

41284013010997_19m1 is not from the Most Wanted Road Block file - it is from the t600 file. Inserting one before and one after is fine with me.

[B]QUEUED AS 196__841_5m1[/B]

C205 from the OPN t800 file.
[ a.k.a. Phi_5(Phi_5(Phi_7(Phi_7(4733)/7/70001/329422297)/7/324751337/p15)/5/641/24971/p34)/5/11 ]
P52^5-1
[CODE]n: 273219495316974434197040939198609491490766418671811621873184255024989735292999525996233322635370317291867070304938367848690164427515391372264126719052933394821754823886485663545629052072405432232605241171
# 1968877035808798586160921053899523790197687491672841^5-1, difficulty: 205.18, skewness: 1.00, alpha: 1.45
# cost: 2.20954e+17, est. time: 105.22 GHz days (not accurate yet!)
skew: 1.000
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 1968877035808798586160921053899523790197687491672841
type: snfs
rlim: 33500000
alim: 33500000
lpbr: 30
lpba: 30
mfbr: 88
mfba: 60
rlambda: 3.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 15855
50M 14482
70M 13339[/CODE]

[QUOTE=jyb;526516]Can you expand on this last point? Are such numbers more appropriate for 16e, or is there some other impediment to doing e.g. a SNFS-250 quartic on 15e?[/QUOTE]

For F1475, my trial sieving gave that 16e produces about 30% more relations per second than 15e, and the yield-per-Q is about a factor 2.7 higher so you can sieve a much smaller Q range and not worry about the yield drop-off at higher Q. 32-bit large primes (3 on the rational side) suffice.

I expect the effect to be even larger for harder quartics, might try timings on the phi_5(131..897) from mwrb2100.txt which has SNFS difficulty 252.47.

[QUOTE=VBCurtis;526519]I fully support running 197-199 GNFS on 15e, and I'll be happy to poly select and solve a matrix in support of such an endeavor.[/QUOTE]

I've devoted quite a lot of machine time to poly select (two to three thread-years for each of the ones I'm currently interested in), but help in solving matrices is always appreciated; they'll be a good deal easier than 2330L.

[B]QUEUED AS 10m9_253[/B]

SNFS-230.00 C216 HCN (10-9,253), ECM to t50+. For 14e.
[code]
n: 394923695545048859136128088114448035399949013892971656512582285391991854126211037458229464478916391861162408303453934162252335095282279188671911204848233792867743155779189978347086780778206088454907255644740285082039
# 10^253-9^253, difficulty: 230.00, skewness: 1.00, alpha: 2.22
skew: 1.000
c5: 1
c4: 1
c3: -4
c2: -3
c1: 3
c0: 1
Y1: -886293811965250109592900000000000000000000000
Y0: 10078551672112789411833022577315290546060373041
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 3749
50M 3427
80M 2870
110M 3466
140M 2626
170M 2295
200M 2519
230M 2436
[/code]
Recommend sieving special Q on rational side, 20M - 110M.

[B]QUEUED AS 10p9_253[/B]

SNFS-230.00 C199 HCN (10+9,253), ECM to t50+. For 14e.
[code]
n: 5577034531754952626082977743621776075832980348143641281694044937070832423150697421651786970034298179553542277189634023831389211659951677292768658980831910856168796768970374461719680706586196800407681
# 10^253+9^253, difficulty: 230.00, skewness: 1.00, alpha: 2.22
skew: 1.000
c5: 1
c4: -1
c3: -4
c2: 3
c1: 3
c0: -1
Y1: -886293811965250109592900000000000000000000000
Y0: 10078551672112789411833022577315290546060373041
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6
[/code]
Trial sieving 2K blocks.
[code]
Q Yield
--- -----
20M 3826
50M 3475
80M 2985
110M 3458
140M 2595
170M 2446
200M 2559
230M 2430
[/code]
Recommend sieving special Q on rational side, 20M - 110M.

15e Candidate
 

[B]QUEUED AS 55747762232143_17m1[/B]

C211 from the OPN t550 file.
[ a.k.a. Phi_17(Phi_3(Phi_3(Phi_5(263))/3/103/151/223/10651)/3/7/37)/1352891077 ]
This polynomial has a tenancy to have a higher dup rate.
Sieve on the algebraic side. Ready for 15e.
[CODE]n: 6432446649433196869584178621993853438381209468616691873209478125079835403347355198902619684409591252294317066290739664182292592018264232329089032590580033849207263268026395603523547825765972888878130035122428813
# 55747762232143^17-1, difficulty: 219.95
lss: 0
skew: 1.0
c8: 1
c7: 1
c6: -7
c5: -6
c4: 15
c3: 10
c2: -10
c1: -4
c0: 1
Y1: -55747762232143
Y0: 3107812993891549481822372450
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 91
rlambda: 2.7
alambda: 3.7
type: snfs[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 15257
60M 9944
100M 10889
160M 7860[/CODE]