EMG-C198 queued
 

My polynomial search finished; the best ones I found are not quite as good as the best-sieving of gimarel's, so I'm using his. This may take some time.

Here is another proposed set of three xyyx composites for the 14e queue, all with unremarkable difficulty yet slow to sieve characteristics. All have survived ECM to t50+.


C175_127_66

C178_149_35

C183_125_69



[code]
n: 9748295192104656074585819234096540799829259550880175359587987097338921130269416391019920485924569493178147234035419213355102355716137667190844940711857516425791599690747604743
# 127^66+66^127, difficulty: 234.81, anorm: 1.46e+038, rnorm: 3.99e+044
# scaled difficulty: 238.31, suggest sieving rational side
type: snfs
size: 234
skew: 1.4923
c6: 22
c0: 243
Y1: -138624799340320978519423
Y0: 487016753260950715201262167704729550848
rlim: 37800000
alim: 37800000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7

[/code]



[code]

n: 2546122699507783408844352707124474077733233034205109030610196774786144561034761207179377027073334892004948229884749555245035915293460235092807131887131782927857392754946495596381
# 149^35+35^149, difficulty: 231.61, anorm: 1.18e+031, rnorm: 1.47e+052
# scaled difficulty: 236.68, suggest sieving rational side
type: snfs
size: 231
skew: 2.0362
c5: 1
c0: 35
Y1: -1630436461403549
Y0: 20991396429661901749543146230280399322509765625
rlim: 34400000
alim: 34400000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7

[/code]



[code]

n: 710223839711871375997857248420157037830518221073125742514092216186127468333620847849925131421655863152380383228311638168023871041843903730178635572030050226394181679195615248871749799
# 125^69+69^125, difficulty: 229.86, anorm: 1.00e+031, rnorm: 6.78e+051
# scaled difficulty: 234.74, suggest sieving rational side
type: snfs
size: 229
skew: 1.9037
c5: 1
c0: 25
Y1: -45474735088646411895751953125
Y0: 9358953046242294172307024710348128823251931749
rlim: 32800000
alim: 32800000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7

[/code]

At the moment, there's much to do in the TI graphing calculators community, besides the usual day job, of course. I'm quite a bit behind on feeding the 14e grid, and I'm not sure I can catch up tomorrow.
Fortunately, others are picking up the slack. Thanks for that :smile:

[QUOTE=wblipp;422855]C161 from P201+1 has had ECM to 1/3 size by yoyo@home, but needs a polynomial

[URL="http://factordb.com/index.php?id=1100000000127141653"]P201[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000438464167"]P51^5-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127044390"]P51[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%2825702205581365923346602787457585129653367632740563^3-1%29%2F25702205581365923346602787457585129653367632740562"]P50^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127754723"]P50[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%2813127711096135369231293810925810719^3-1%29%2F13127711096135369231293810925810718"]P35^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127608769"]P35[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%28872153100939711875724676704162421^3-1%29%2F872153100939711875724676704162420"]P33^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000127175625"]P33[/URL] is the largest factor of [URL="http://factordb.com/index.php?query=%28282510594090638575830851732813^3-1%29%2F282510594090638575830851732812"]P30^3-1[/URL]
[URL="http://factordb.com/index.php?id=1100000000126618959"]P30[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000815934564"]129574807^7-1[/URL]
129574807 is the largest factor of [URL="http://factordb.com/index.php?query=%2899995282631947^3-1%29%2F99995282631946"]99995282631947^3-1[/URL]
99995282631947 is the larger factor of [URL="http://factordb.com/index.php?id=1000000000043614041"]19^17-1[/URL][/QUOTE]

Two to choose from:
[CODE]N: 83688885178391647289680298238719846593105186454029265137066058211711984183850710878477421568706780913499889885007283305100988500734492940278403953201241364444057
# expecting poly E from 1.10e-12 to > 1.27e-12
R0: -7535128603490579339281876192563
R1: 496380134942767
A0: 6529419460301532509105235788630877620
A1: 62338173029728942979383128789512
A2: 195374576731003535020997155
A3: -121545209610942151058
A4: -48319578188790
A5: 3445200
skew 2079158.02
# skew 2079158.02, size 9.959e-16, alpha -7.149, combined = 1.120e-12 rroots = 3[/CODE]

[CODE]N: 83688885178391647289680298238719846593105186454029265137066058211711984183850710878477421568706780913499889885007283305100988500734492940278403953201241364444057
# expecting poly E from 1.10e-12 to > 1.27e-12
R0: -11056412591929214899370773944333
R1: 73767428872469
A0: 1190979800677869626204332921538796951304
A1: 590507303757229160221234561376636
A2: -238529371688140085204382442
A3: -54070985147016891431
A4: -1286734325262
A5: 506520
skew 6228659.76
# skew 6228659.76, size 9.775e-16, alpha -7.191, combined = 1.119e-12 rroots = 3[/CODE]

Yoyo completed 30k curves at B1=260M on [url=http://www.factordb.com/index.php?id=1100000000661978232]this C181[/url] of aliquot sequence 3366.

[url=http://www.mersenneforum.org/showthread.php?t=18449&page=15]
Several GNFS polys were found using GPU msieve as well as CADO, starting with post 162[/url].

[QUOTE=wombatman;422167]Highest scoring poly for the C164 (A1 tested up to 3M):

[CODE]polynomial selection complete
R0: -26885225424716159133281397018875
R1: 40687377600901
A0: 1506690899496724904947942882250050668
A1: 23822949827861961108337023238148
A2: 51009084356172000817547053
A3: 6062887903033652013
A4: -10683664797135
A5: 1284780
skew 1997202.06, size 6.261e-016, alpha -5.159, combined = 8.554e-013 rroots = 5
elapsed time 03:35:16[/CODE][/QUOTE]

I ran from 3M to 5M and found nothing anywhere as good as wombatman's polynomial.
[CODE]N: 18046674227934245376844203279569011642703943769094121052909684123031558162651856023135783441971830985462415680017961577705950135784907159836667971571620152253515793
# expecting poly E from 7.96e-13 to > 9.16e-13[/CODE]

Two more
 

C174_135_52

C217_134_64




[code]
n: 734153168520294350706245849591522841327987847533444140237108479915163161520281981535812677722089633027454667951836396126484470508268551119401862047477671498317865839731768483
# 135^52+52^135, difficulty: 231.66, anorm: 1.73e+031, rnorm: 1.40e+052
# scaled difficulty: 237.03, suggest sieving rational side
type: snfs
size: 231
skew: 2.3714
c5: 1
c0: 75
Y1: -6031966760585419921875
Y0: 21482769967144679013436706816572394744345264128
rlim: 34400000
alim: 34400000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
[/code]



[code]
n: 3745451793844313794838604853273122339020071619132998936348999329996546321646340328377176855391523962719172137998398101847727618322803061684566150730364870626992808378583854658258321079748162942240437689045084311257377
# 134^64+64^134, difficulty: 242.03, anorm: 2.14e+039, rnorm: -1.70e+043
# scaled difficulty: 248.74, suggest sieving rational side
type: snfs
size: 242
skew: 10.2345
c6: 1
c0: 1149184
Y1: -5316911983139663491615228241121378304
Y0: 122130132904968017083
rlim: 45000000
alim: 45000000
lpbr: 30
lpba: 30
mfbr: 60
mfba: 60
rlambda: 2.7
alambda: 2.7
[/code]

[QUOTE=wblipp;421909][URL="http://factordb.com/index.php?id=1100000000127081167"]C166[/URL] from P172+1

[URL="http://factordb.com/index.php?id=1100000000127485518"]P172[/URL] is the largest factor of [URL="http://factordb.com/index.php?id=1100000000438408722"]687015720002749009^11-1[/URL]
687015720002749009 is the largest factor of [URL="http://factordb.com/index.php?query=%28829007553280001^3-1%29%2F829007553280000"]829007553280001^3-1[/URL]
829007553280001 is the larger factor of [URL="http://factordb.com/index.php?id=1100000000126316847"]22406023^5-1[/URL]
22406023 is [URL="http://factordb.com/index.php?query=%284733^3-1%29%2F4732"](4733^3-1)/4732[/URL][/QUOTE]

A pretty good polynomial.
[CODE]N: 4439397308060887643973342113399178207289534521567468479007341740378343472786431623680647410832199479340278911399740887735300185093750643499869968204585762181943724831
# expecting poly E from 5.70e-13 to > 6.56e-13
R0: -50999664317994704147101972769517
R1: 355904783004733
A0: -13443855893951418600468425813845928300
A1: 34961899444543208769262669905430
A2: 643382862800113977007891622
A3: 654506450741125318754
A4: -281899531995771
A5: 12867300
skew 1473532.76
# skew 1473532.76, size 3.516e-16, alpha -7.031, combined = 5.941e-13 rroots = 5[/CODE]

15e candidates
 

Three more candidates for the 15e queue. I hope enough ECM has been conducted, but we can run more if deemed necessary. Thanks for considering them. And to hoping the C200 can be sieved by 15e!

C199_146_61 ECM'd to t55+ by me

C199_149_47 ECM'd to t55+ by me

C200_150_148 ECM'd to t60 by yoyo@Home





[code]
n: 9358295805052581179226468889218181267761766652857760602609570058123699347316866747497237203460142991353524424863183174939983619081000796891815181473380739254254181569452727878512898334584332416292917
# 146^61+61^146, difficulty: 262.44, anorm: 1.89e+032, rnorm: 5.45e+057
# scaled difficulty: 266.69, suggest sieving rational side
# size = 3.559e-018, alpha = 0.000, combined = 2.540e-014, rroots = 1
type: snfs
size: 262
skew: 1.1907
c5: 61
c0: 146
Y1: -93806788798424099682390016
Y0: 5950661074415937716058277355262049126611998411687341
rlim: 88000000
alim: 88000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]

[code]
n: 1101870448226237591517035601553382416772572244136240112019993857019118915514428468478231853014913382526961737127822116933247395171469442573219874424648805248318891165610827919765804788478870840304433
# 149^47+47^149, difficulty: 250.81, anorm: 2.04e+033, rnorm: 3.64e+055
# scaled difficulty: 254.52, suggest sieving rational side
# size = 1.060e-017, alpha = 0.000, combined = 5.706e-014, rroots = 1
type: snfs
size: 250
skew: 15.9843
c5: 1
c0: 1043447
Y1: -36197319879620191349
Y0: 145524373433240498178471282244561013997462983607649
rlim: 59000000
alim: 59000000
lpbr: 31
lpba: 31
mfbr: 62
mfba: 62
rlambda: 2.7
alambda: 2.7
[/code]

[code]
n: 24229510165551321796559314378377113414853083554972639930133501598399931447311566581873907256552861121209796110763509489095212082082298498908278365774123665303521546701186142937543433087020100661390269
# 150^148+148^150, difficulty: 282.25, anorm: 6.00e+037, rnorm: -4.09e+052
# scaled difficulty: 284.72, suggest sieving rational side
# size = 5.587e-014, alpha = 0.000, combined = 1.318e-014, rroots = 0
type: snfs
size: 282
skew: 1.0627
c6: 25
c0: 36
Y1: -53801327703781979380024295002112265048370970624
Y0: 15050869163300006903227767907083034515380859375
rlim: 120000000
alim: 120000000
lpbr: 32
lpba: 32
mfbr: 64
mfba: 64
rlambda: 2.8
alambda: 2.8
[/code]

To my slight surprise, that last difficulty-282 job looks entirely doable with 15e. You need 3 algebraic-side large primes and probably a 600MQ range, but neither of those is an impossibility. The linear algebra will be a bear, but a fairly small and friendly bear.

[QUOTE=fivemack;425099]To my slight surprise, that last difficulty-282 job looks entirely doable with 15e. You need 3 algebraic-side large primes and probably a 600MQ range, but neither of those is an impossibility. The linear algebra will be a bear, but a fairly small and friendly bear.[/QUOTE]

swellman, did you run test sieving for the SNFS-282? I wonder if yafu would come up with 3ALP (or if you have run test sieving, why it didn't).