[b]QUEUED[/b] C253_131_98 is ready for SNFS on 15e.

[code]
n:1540029074789172337023106333625758121269245309367275176926804874527872385206366672508133914781576518087648934107643377787346653409698708460220058885390073299900835650765094361845511003880653771833388367183672187518527053878674580620302000286168408015067
# 131^98+98^131, difficulty: 262.84, anorm: 2.59e+039, rnorm: 1.94e+049
# scaled difficulty: 264.49, suggest sieving rational side
# size = 1.906e-013, alpha = 0.000, combined = 3.585e-014, rroots = 0
type: snfs
size: 262
skew: 10.9051
c6: 1
c0: 1681778
Y1: -7522128193775222200360700096950081
Y0: 64117069607359275099814093732820870081019904
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]


Test sieving on the -r side with Q in blocks of 5K:
[code]
Q=20M 11188
Q=80M 9670
Q=150M 8711
Q=250M 7715
[/code]
Suggesting a sieving range for Q of 20M-280M with a target # relations = 470M

[b]QUEUED[/b] C177_134_73 is ready for GNFS after a group poly search, top poly by Max0526:

[code]
n: 180189746142952844436124262037686342047932954306939405380401568534712179225777244095963902399806570252212701396365362103075796904850851875771907195646912199042073818244500029371
skew: 17903975.73
c0: 422350353444455437951948965729548821847680
c1: 90393272761662392398979662338013948
c2: -68988940653139931958652083763
c3: 3266320170348965129009
c4: 215504618168580
c5: 1134000
Y0: -18032637465214493952643190295486529
Y1: 438537618959093566462
# size 3.482e-017, alpha -8.170, combined = 1.527e-013 rroots = 5
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.6
alambda: 2.6
[/code]



Test sieving on the -a side with Q in blocks of 10k
[code]
Q=20M 17078
Q=60M 20987
Q=100M 22069
Q=140M 18840
[/code]
Suggesting a sieving range for Q of 20M-145M with a target # rels = 250M

[b]QUEUED AS C191_279xx283_5[/b] C191 from the OPN t600 file.
[ a.k.a. Phi_5(Phi_23(1009)/139/1013/309811)/36788904895969182461556455470771 ]
P56^5-1
[CODE]n: 16578452467011585329221035518278114401146464395198569113442878333169232298949210235447660721329465773986803340478088615679494392467014257553003166535662501623628285087306308041878848741645011
# 27945714132675033142899109225439212386442031501005140283^5-1, difficulty: 221.79, skewness: 1.00, alpha: 1.45
# cost: 8.91016e+17, est. time: 424.29 GHz days (not accurate yet!)
skew: 1.000
c4: 1
c3: 1
c2: 1
c1: 1
c0: 1
Y1: -1
Y0: 27945714132675033142899109225439212386442031501005140283
type: snfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 92
mfba: 62
rlambda: 3.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 6699
60M 7835
100M 8261
150M 7292
200M 7709[/CODE]

Two for 15e
 

[b]BOTH QUEUED BUT MAY NEED RANGE ADJUSTMENTS[/b]

C186_134_77 is the composite stub of a C240 that remained after yoyo@Home found a p55. Still best sieved via SNFS on 15e.
[code]
n: 128445577319158263930550780185650382804587326909030046808826557835764681552100569141985179736284551810774195418677239203463573603980302801410542268441647101438503695256476781961344935239
# 134^77+77^134, difficulty: 252.79, anorm: 1.78e+039, rnorm: -9.87e+047
# scaled difficulty: 254.25, suggest sieving rational side
# size = 4.410e-013, alpha = 0.000, combined = 6.729e-014, rroots = 0
type: snfs
size: 252
skew: 9.6238
c6: 1
c0: 794486
Y1: -318270182965192022252424017587489077700729
Y0: 4491199828872408503792328704
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8[/code]


Test sieving on the -r side of 14e, with Q in blocks of 2K:
[code]
Q=20M 6401
Q=80M 4119
Q=150M 3669
Q=250M 3420
[/code]
suggesting a sieving range for Q of 20M-250M with a target # relations = 470M

=====================================================

C240_127_111 is ready for SNFS on siever 15e.
[code]
n: 359646554499262620853148003737727734691845486665468520027896583158072070157966872326226938983956230728292119439331460858284015717718814184811796769020815779022321860418699631818462695985639232161471268053510719560968421204337961828861520653
# 127^111+111^127, difficulty: 261.80, anorm: 3.02e+040, rnorm: 3.95e+048
# scaled difficulty: 263.15, suggest sieving rational side
# size = 2.109e-013, alpha = 0.000, combined = 3.926e-014, rroots = 0
type: snfs
size: 261
skew: 5.1406
c6: 111
c0: 2048383
Y1: -73869809188743794269800200736680064769
Y0: 8949165805103346732088206385868884620523311
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8[/code]

Test sieving on the -r side with Q in blocks of 2K
[code]
Q=20M 4992
Q=80M 3481
Q=150M 3322
Q=250M 3103
[/code]
suggesting a sieving range for Q of 20M-290M with a target # rels = 470M

[b]QUEUED AS C191_139017523_29[/b] C191 from the OPN t550 file.
[ a.k.a. Phi_29(Phi_3(Phi_3(293459)/277)/3/139/1667353)/59/1103/p33 ]
[CODE]n: 66445717350150824619142932557035311552778778952682395780633850692684142715901540831691602703645204757441411082428078738570264548728427544271537467771536527031915445717367507146537922959189401
# 139017523^29-1, difficulty: 244.29, skewness: 22.76, alpha: 0.00
# cost: 5.35407e+18, est. time: 2549.55 GHz days (not accurate yet!)
skew: 22.760
c6: 1
c0: -139017523
Y1: -1
Y0: 51921559717088480883753166975856675023843
type: snfs
rlim: 268000000
alim: 268000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.7
alambda: 2.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 13437
60M 10770
100M 10407
150M 8729
200M 8527
250M 7675
300M 7647[/CODE]

[b]QUEUED AS C217_67411_47[/b]
C217 from the OPN t550 file.
[CODE]n: 1418283377646599845359375018165304262061449004717649712338902914107448018969837834887386476672240075413553710016033188532883936950143796605255927532883125784304381750047950223918333770727593208525096344280656637191107
# 67411^47-1, difficulty: 231.78, skewness: 6.38, alpha: 0.00
# cost: 2.00115e+18, est. time: 952.93 GHz days (not accurate yet!)
skew: 6.380
c6: 1
c0: -67411
Y1: -1
Y0: 426428435865577578026392110844795042081
type: snfs
rlim: 67000000
alim: 67000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.6
alambda: 2.6[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 9708
50M 7594
80M 6090
110M 6064
140M 4894[/CODE]

I have queued a number of Lucas SNFS tasks on 15e; I think that's starting to get sufficient. Possibly the smallest ones should have gone on 14e instead - I put two there, and L2705A was 25% faster per relation on 15e which I considered before noticing quite how much backlog there was on 15e.

[b]QUEUED BUT MAY NEED RANGE ADJUSTMENT[/b]
C220 from the OPN t550 file.
Sieve on the ALGEBRAIC side.
[CODE]n: 1258687811247928510282538005510791701194253724494200947181797389234838032159943132784362952658974682628442403775905821471095613056463978530085639049970424333569981490357202097322877783472270405687131510808456653835391051
# 1486680579049^19-1, SNFS-231, sieve on algebraic side
lss: 0
skew: 0.00936
c6: 1486680579049
c0: -1
Y1: -1
Y0: 3285889877007692111438892059637654649
type: snfs
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 92
rlambda: 2.6
alambda: 3.7[/CODE]
Trial sieving 5K blocks.
[CODE] Q Yield
20M 12423
60M 8569
100M 6122
150M 5371
200M 5351[/CODE]

[b]QUEUED BUT MAY NEED RANGE ADJUSTMENT[/b]
C169 from the OPN t550 file.
[CODE]n: 2406496202486110200490872924827509982383952801332853934367486068031355515480009256618748614565657827185258753407212663153493023907058432366147810433685579490438033315013
# 15428908531^23-1
# expecting poly E from 3.89e-13 to > 4.47e-13
lss: 0
Y0: -261565619270689806824894500541340
Y1: 2619907872396661
c0: -232001792822633783093468900639132629147
c1: 1839653906589552780591084628911489
c2: -1280282944380901512236966079
c3: -1460282909656813915293
c4: 46547725779922
c5: 1965540
skew: 4668889.81
# skew 4668889.81, size 1.840e-16, alpha -7.136, combined = 4.013e-13 rroots = 5
type: gnfs
rlim: 134000000
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 8055
60M 8146
100M 9539
150M 7561
200M 8394[/CODE]

15e Candidate
 

[b]QUEUED AS C178_142_140[/b] because fivemack can apparently neither type nor read


Another composite stub remaining after yoyo@Home found a p55. Test sieving indicates that SNFS on 15e is still appropriate.
[code]
n: 1166551454154509784191145652324187578474854503080078170728449858208872582000622759219595192489341818303969109922370113165361708018451844756244501885783498408012084301689907197757
# 142^120+120^142, difficulty: 262.68, anorm: 3.00e+037, rnorm: 2.41e+049
# scaled difficulty: 264.66, suggest sieving rational side
# size = 4.189e-013, alpha = 1.979, combined = 6.228e-014, rroots = 0
type: snfs
size: 262
skew: 2.4662
c6: 1
c0: 225
Y1: -10596610576391421032662867140133202401
Y0: 37907050706572935168000000000000000000000000
rlim: 134000000
alim: 134000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
[/code]


Test sieving on the -r side with Q in blocks of 5k:
[code]
Q=20M 7335
Q=80M 5496
Q=150M 4822
Q=250M 4022
[/code]
suggesting a sieving range for Q of 20M-260M with target number relations = 240M

[b]QUEUED AS C210_401173_41[/b] C210 from the OPN t600 file.
[CODE]n: 217880860044466297469305800086322257482379171991676152917030635993457062396628563367722240257041124140619710575869939141015083021333276986761167801225573352778052253584104758943141340817083748605249139389801021
# 401173^41-1, difficulty: 235.34, skewness: 8.59, alpha: 0.00
# cost: 2.65635e+18, est. time: 1264.93 GHz days (not accurate yet!)
skew: 8.588
c6: 1
c0: -401173
Y1: -1
Y0: 1672329586132739856823834563328853274397
type: snfs
rlim: 134000000
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 11448
60M 8608
100M 7850
150M 6502
200M 6374[/CODE]