Queued those five - they're getting quite big for 14e but not completely intractable

[QUOTE=fivemack;445370]Queued those five - they're getting quite big for 14e but not completely intractable[/QUOTE]

Thank you! Yes they were on the dotted line between 14/32 and 15/31. I suggested them for 14e to feed the grid.

Currently prepping a few more composites for 15e/32. Didn't figure any more candidates would be needed in that queue for weeks/months and I would just keep them in cold storage, but I did not account for the burst of activity in 15e during the recent challenge.

Five for 15e
 

Five more xyyx candidates for 15e. All have completed t55 courtesy of yoyo. All are best sieved on the -r side.


C249_128_105
C257_128_111
C262_129_110
C259_130_107
C260_126_125




[code]
n: 408142115848354487607374219172702590227716961541428941257817037760650713306584493536382972480050520569439818308139440871962367453098269986020320001294834662344715046476211444307521805621247072488839716576593016131849171553785626002993893150543743433
# 128^105+105^128, difficulty: 262.75, anorm: 3.80e+040, rnorm: 2.54e+048
# scaled difficulty: 264.06, suggest sieving rational side
# size = 2.756e-013, alpha = 0.000, combined = 4.771e-014, rroots = 0
type: snfs
size: 262
skew: 1.1991
c6: 11025
c0: 32768
Y1: -1329227995784915872903807060280344576
Y0: 2785962590401641140642702303409576416015625
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]




[code]
n: 11352974339260713287419188709457754799656497083820769873019165370910574571671923124379100246282444027784935704982063498051829712028360238276792141076136022545176498050637445882144018930867458127822409717994900872184380943930334009622849224952428601394399491
# 128^111+111^128, difficulty: 265.89, anorm: 4.02e+040, rnorm: 8.25e+048
# scaled difficulty: 267.28, suggest sieving rational side
# size = 1.184e-013, alpha = 0.000, combined = 2.580e-014, rroots = 0
type: snfs
size: 265
skew: 1.1771
c6: 12321
c0: 32768
Y1: -170141183460469231731687303715884105728
Y0: 8949165805103346732088206385868884620523311
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]



[code]
n: 3078917390898063299614641629280543677240017212615362692746867998413177465949601772851671747249762059104047760239686494407215870060815839794995325288362325681777034934142037072216502877577534036201683628130594824280195810533290320246828737451000297699054469479031
# 129^110+110^129, difficulty: 266.28, anorm: 5.93e+031, rnorm: 5.27e+058
# scaled difficulty: 270.78, suggest sieving rational side
# size = 3.292e-018, alpha = 0.000, combined = 2.208e-014, rroots = 1
type: snfs
size: 266
skew: 1.2801
c5: 16
c0: 55
Y1: -27100270549839440013580113370110596087308471041
Y0: 59590882688636047123006638050000000000000000000000000
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]



[code]
n: 8738642855111442965233670480187098535413358350197329297402908429919633760898314244080407587740593977450148868248218595799425918955322438063879686614389706215923363057662004375507202190326186061970565820516555013553953850836122129079136859466750642802895878227
# 130^107+107^130, difficulty: 263.82, anorm: 2.60e+032, rnorm: 2.19e+058
# scaled difficulty: 268.14, suggest sieving rational side
# size = 2.857e-018, alpha = 0.000, combined = 2.119e-014, rroots = 1
type: snfs
size: 263
skew: 7.0077
c5: 1
c0: 16900
Y1: -247064529073450392704413000000000000000000000
Y0: 58073529249314919768851974028956890155855150099653849
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]



[code]
n: 32913476719275760478620052474445896037571073259082234164549670589435206687781704152547706415948673433646638256771784239841524020079688752126713049342153591001183874020272771880143518130094539761529679374401573509105293719442246670446666803340579189948686150179
# 126^125+125^126, difficulty: 266.03, anorm: 6.73e+037, rnorm: 4.42e+049
# scaled difficulty: 268.00, suggest sieving rational side
# size = 3.845e-013, alpha = 0.000, combined = 5.700e-014, rroots = 0
type: snfs
size: 266
skew: 1.3399
c6: 14
c0: 81
Y1: -42722847678148575866619908287591521863073792
Y0: 108420217248550443400745280086994171142578125
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]

William hasn’t been seen around these parts in a while. I hope I’m not stepping out of bounds.

Going through some yoyo logs I found the following which appear ready for SNFS. Obviously these are quartics. Only the last run is listed.

[CODE] 7500 @ 11e7 P55.15147_5M.C187
1514760402726090616648095033964880550337576601674963123^5-1
7400 @ 11e7 P55.16635_5M.C162
1663521218376980133890596434622640837401485234568910473^5-1
7400 @ 11e7 P55.16522_5M.C165
1652248266838673398348076441450265064693280306501309263^5-1
7400 @ 11e7 P55.16058_5M.C170
1605871655610123748163599722104985996429838132153382107^5-1
6200 @ 11e7 P54.29826_5M.C178
298260921928932067643011924483514064806042134514253973^5-1
6100 @ 11e7 P54.24466_5M.C183
244664873957085470551973266612254452474958115042072789^5-1
6100 @ 11e7 P54.29985_5M.C155
299851446221895648182226058564272663414018071384153431^5-1
6100 @ 11e7 P54.26386_5M.C168
263864774073502583589315918259949271735733361405058571^5-1
6000 @ 11e7 P54.23709_5M.C177
237098814036965303695624894383088172934311371478170807^5-1
4900 @ 11e7 P53.56074_5M.C167
56074737781646790508395132462325980692442366265534933^5-1[/CODE]

[QUOTE=RichD;445551]William hasn’t been seen around these parts in a while. I hope I’m not stepping out of bounds.

Going through some yoyo logs I found the following which appear ready for SNFS. Obviously these are quartics. Only the last run is listed.

[CODE] 7500 @ 11e7 P55.15147_5M.C187
1514760402726090616648095033964880550337576601674963123^5-1
7400 @ 11e7 P55.16635_5M.C162
1663521218376980133890596434622640837401485234568910473^5-1
7400 @ 11e7 P55.16522_5M.C165
1652248266838673398348076441450265064693280306501309263^5-1
7400 @ 11e7 P55.16058_5M.C170
1605871655610123748163599722104985996429838132153382107^5-1
6200 @ 11e7 P54.29826_5M.C178
298260921928932067643011924483514064806042134514253973^5-1
6100 @ 11e7 P54.24466_5M.C183
244664873957085470551973266612254452474958115042072789^5-1
6100 @ 11e7 P54.29985_5M.C155
299851446221895648182226058564272663414018071384153431^5-1
6100 @ 11e7 P54.26386_5M.C168
263864774073502583589315918259949271735733361405058571^5-1
6000 @ 11e7 P54.23709_5M.C177
237098814036965303695624894383088172934311371478170807^5-1
4900 @ 11e7 P53.56074_5M.C167
56074737781646790508395132462325980692442366265534933^5-1[/CODE][/QUOTE]

I think all of these could make reasonably good 14e candidates except for P54.29985_5M.C155. That one could be more easily done by GNFS, and IMO at 155 digits it's probably too small for NFS@Home. Contrary opinions welcome.

[QUOTE=jyb;445559]I think all of these could make reasonably good 14e candidates except for P54.29985_5M.C155. That one could be more easily done by GNFS, and IMO at 155 digits it's probably too small for NFS@Home. Contrary opinions welcome.[/QUOTE]

Let’s see if my thoughts are correct. The above has a polynomial difficulty of SNFS-214. Because it is one degree from the optimal (quintic vs. quartic) there is a 15-digit penalty. Therefore, the number has a realistic SNFS difficulty of 229. The GNFS crossover is around 0.7 so this equates to GNFS-160. Since the remaining composite is only 155, you are correct, GNFS is the preferable approach.

[QUOTE=RichD;445563]Let’s see if my thoughts are correct. The above has a polynomial difficulty of SNFS-214. Because it is one degree from the optimal (quintic vs. quartic) there is a 15-digit penalty. Therefore, the number has a realistic SNFS difficulty of 229. The GNFS crossover is around 0.7 so this equates to GNFS-160. Since the remaining composite is only 155, you are correct, GNFS is the preferable approach.[/QUOTE]

I'm not sure that it's as rigidly defined as an exact 15-digit penalty, but the basic reasoning seems about right. I was actually comparing to the recent P53 (374249...)^5-1 from the 14e queue, which was a quartic with difficulty 210. It was relatively easy, but still plausible for 14e, and this one will be a bit harder. Whereas I know that a GNFS-155 is easy enough to do on personal hardware.

A more accurate GNFS crossover is 0.55 * snfs + 30 (per Batalov). GNFS still quicker, I think.

As the composite size increases I believe that is a more appropriate calculation. :smile:

[QUOTE=VBCurtis;445569]A more accurate GNFS crossover is 0.55 * snfs + 30 (per Batalov). GNFS still quicker, I think.[/QUOTE]

That formula would suggest that SNFS is better for this number. But it doesn't account for it being a quartic.

Or is that what you were saying?

I have no experience with quartics, so I gave no opinion. I've no reason to doubt the "add 15 digits as an estimate" (for what size is this correct? It can't be a fixed penalty for any size), though doing so makes GNFS appear only a little faster.
Perhaps a bit of test-sieving is in order?