Ready GNFS targets
 

Some ECM pre-factoring is necessary to remove small factors before running an GNFS job, stopping when the expected factor size is about 31% of GNFS difficulty. There is a list of targets which are ready for GNFS.

(factored) [B]C168_130_71[/B], 18000 curves at B1 = 110M, polynomial is [url=http://www.mersenneforum.org/showpost.php?p=373545&postcount=441]here[/url]
[code]293577856524534308556608110931494014404182621098756377812259533965962071178386204940945650625875365752664844816196696488552291293374296950182835664858833152967071700503[/code]

(factored) [B]C168_134_94[/B], 18000 curves at B1 = 110M, polynomial is [url=http://www.mersenneforum.org/showpost.php?p=373853&postcount=443]here[/url]
[code]451591044633621500700127843125932943919387601290262860485200418433795934760393784972054631775554879954085888690144804817796633480540639229986141076270921955279078568333[/code]

If you see a composite which survived enough ECM tests and has a cofactor too large to apply SNFS, feel free to add it there. A polynomial selection is also appreciable :-)

C168_130_71 poly
 

A poly is [url=http://mersenneforum.org/showpost.php?p=373545&postcount=441]here[/url], courtesy of sashamkrt.

C168_134_94 poly
 

sashamkrt [URL="http://www.mersenneforum.org/showpost.php?p=373853&postcount=443"]comes through again[/URL]!

Both C168s are factored.

ECM cofactor [B]C138_135_83[/B] is an easy GNFS target:

[CODE]170919991348184217090563336306626218586530131643022202394625819172285693514851255515126727979545920263506844042346463072033631597253770703[/CODE]

Need help :-)

Here's a poly for that one.

[CODE]polynomial selection complete
R0: -184297874753473458834734622
R1: 7767831431201
A0: 37503735277217876998353701002301
A1: 2653118156032328494676853257
A2: -4643559783770148391841
A3: -154727506151124125
A4: 114217888872
A5: 803880
skew 224957.35, size 2.448e-013, alpha -6.221, combined = 2.765e-011 rroots = 5[/CODE]

Taking C138_135_83
 

It's sieving now. It should finish on Tuesday.

Thanks for the poly wombatman!

No problem!

[QUOTE=wombatman;384388]Here's a poly for that one.

[CODE]polynomial selection complete
R0: -184297874753473458834734622
R1: 7767831431201
A0: 37503735277217876998353701002301
A1: 2653118156032328494676853257
A2: -4643559783770148391841
A3: -154727506151124125
A4: 114217888872
A5: 803880
skew 224957.35, size 2.448e-013, alpha -6.221, combined = 2.765e-011 rroots = 5[/CODE][/QUOTE]

And here's the factors, by GNFS in 36 hours.

[code]
prp85 = 1315772875129996900541095284478628668312616282730217013278699028574016210370084469121
prp54 = 129900832110783186299118940121503472778778392763678543
[/code]

C126_136_53 - easy GNFS
 

I had posted yesterday in the [url=http://www.mersenneforum.org/showpost.php?p=386215&postcount=24]ECM results[/url] thread that this stub remained after another ECM hit, and final results should be posted today. This number has proven harder to factor than expected, requiring more time than my travel schedule allows.

Anyone else want to take it? Best poly I could find after a few hours on a quad core:

[code]
n: 623433491734364333216783456844588207630735433752811938505306862546323640730513885073072973110858810058270689978064886679902979
skew: 687879.61
c0: -15270870713214432492330676594800
c1: 382578613515406794505652812
c2: 3251332090340438672552
c3: -2975844318738413
c4: -5905378308
c5: 1260
Y0: -3458474273204234345557813
Y1: 5373739344403
rlim: 43600000
alim: 43600000
lpbr: 28
lpba: 28
mfbr: 56
mfba: 56
rlambda: 2.5
alambda: 2.5
[/code]

I can run it to ground in a few weeks after I return home if it remains unclaimed, but this is pretty low hanging fruit. Someone take it please.

Thanks.

I'll handle it. Probably 12-24 hours.

Factored into p56 * p71. Added to FactorDB: [url]http://factordb.com/index.php?id=1100000000720731308[/url]

Need help! An ECM cofactor appeared:

[code]C137_137_67 = 13411098070018782631679823987393159841418050549249170473703223779558186373665856345833655924842351838058687221767661026951401060817978733[/code]

[QUOTE=XYYXF;388658]Need help! An ECM cofactor appeared:

C137_137_67

[/QUOTE]

I'll take it if still available.

Thank you Sean. The pages are ready to update, waiting only for this out-of-range C137 :-)

C137_137_67 Factored
 

[code]
prp88 = 1616672612414735861055959476666696561806681752719282755662328665217634856354131147062031
prp49 = 8295494070371709714792648978157416051359892629443
[/code]

C158_136_134 is currently the smallest composite in the project:
[code]84311455579199090648493230576403161968451360234506586342094132063229517346160992903240099249802174895769891679510634920540783201237119607493881630083817780573[/code]

Survived 7600 ECM curves with B1 = 43M.

C137_138_71 appeared as ECM cofactor:
[code]18288381955467503372160935180653992126384127166955009976845615170138626077630969950667827923941880943984217768707293257384674775252629047[/code]

Needs GNFS :)

I'll do it. It'll be 2-3 days before I can start sieving, then 1-2 days to factor it.

Chris

I was able to start earlier than I planned: [code]
r1=1910592350332312344954173307808537989772745520672358069279284815417 (pp67)
r2=9572100480924973982654011469154758475505608417721162158677805643153391 (pp70) [/code]
Chris

[QUOTE=XYYXF;392300]C158_136_134 is currently the smallest composite in the project:
[code]84311455579199090648493230576403161968451360234506586342094132063229517346160992903240099249802174895769891679510634920540783201237119607493881630083817780573[/code]

Survived 7600 ECM curves with B1 = 43M.[/QUOTE]

I would like to reserve this number. Thanks.

[QUOTE=XYYXF;392300]C158_136_134 is currently the smallest composite in the project:
[code]84311455579199090648493230576403161968451360234506586342094132063229517346160992903240099249802174895769891679510634920540783201237119607493881630083817780573[/code]

Survived 7600 ECM curves with B1 = 43M.[/QUOTE]


[code]
prp74 = 25215735017476399188221707913939290849893455547510507343121538511693643837
prp85 = 3343604916563602702793591893310195173046401116014447918399886944921687229788345088929
[/code]

Factored by GNFS.

C149_139_56 cofactor:[code]34496203693553408617217392212500961733315182130030263979635436080536631842548420753069362833349946087653291443000922039029986023355269098991745487503[/code]

I'll take C149_139_56.

Thank you Sean.

[QUOTE=swellman;400010]I'll take C149_139_56.[/QUOTE]

[code]
prp53 = 27171004209055467414279310785286468265937029792753657
prp97 = 1269596199983533240150677526600822072778955852728643915455988441519022049137497332453332263239879
[/code]

Thanks Sean. ECM wouldn't be faster I think.

C182_147_125
 

Here is a poly for C182_147_125 I found after 56 hours of stage 3 when I had to terminate the polynomial selection:
[CODE]SKEW 120946992.41
R0 -91275555038616248122299799243404301
R1 11341202354373627871
A0 -4459945254843773400131395099902441563376408000
A1 302834974131676938912845710551252368424
A2 13964808432593182097774218369978
A3 3822975218900335248875
A4 -707239936138262
A5 1908816[/CODE]

This is from the logfile:
[CODE]skew 120946992.41, size 9.485e-18, alpha -9.457, combined = 6.792e-14 rroots = 3[/CODE]

I still have all the files if I need to rerun something.

[B]C185_142_141[/B] survived t60. Maybe a bit of 850M curves will make it a solid GNFS target.

[b]C162_145_107[/b] appeared:
[code]317276171387814137094730081588585914132300976108786340150077341485854410152809546453666885393752138348009565859136036078529825885281518747554478782903740291440317[/code]

A new cofactor needs GNFS:

[code]C159_146_84 = 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657[/code]

[QUOTE=XYYXF;431417]A new cofactor needs GNFS:

[code]C159_146_84 = 950328290413671355832575602599798508308681747290035671816486761667336370634798034484024815445558221476314426844254931711417077583915795975994604956673854491657[/code][/QUOTE]

I will run this GNFS job if someone can find a poly. Even a short and sweet GPU search is likely far superior to my poor CPU searching.

Ryan is working C184_135_106 via GNFS. It's in LA now, results expected by the weekend.

He seems to have almost unlimited sieving capacity - he sieved this job in just a few hours - but LA is a different story (ETA 85 hrs).

Anybody have an MPI cluster available to run the big matrices? Anyone...?

[QUOTE=swellman;433053]Ryan is working C184_135_106 via GNFS.

He seems to have almost unlimited sieving capacity - he sieved this job in just a few hours[/QUOTE]


:shock:

:shock:


That's an order of magnitude more throughput than all of NFS@Home. That's approaching NSA-like capabilities... that's an order of magnitude less than a top 500 super computer. (I estimate a Sandy Bridge core to be around 5 Gflops, he has at least 5 Tflops available to him, maybe more than 10, and top500 entry barrier is just north of 200 Tflops)

C181_135_109 polynomial selection complete (9.5 days on GTX1080 plus a few CPU-days for the later stages), job has been queued on nfs@home 15e.

Murphy value for best-sieving polynomial is 7.801e-14

[code]
n: 2867044323320749592540164133499547046223664424606812715339474504938460531399000702981882519255722460118993854730290860319626119708345486443185265331665252209608840098317401804628117
# norm 1.408843e-17 alpha -7.176711 e 7.801e-14 rroots 3
skew: 23413047.69
c0: 17223032857390177254215897668201108985256988
c1: 1824653626012766203611662211797661506
c2: -91085400230978235482537760940
c3: -10129310781067231332617
c4: 212832135350976
c5: 8125200
Y0: -51229494367137667241756626644779205
Y1: 74583098550675799
[/code]

C182_136_109 queued at NFS@home
 

300 hours on GTX970 plus a small amount of CPU time; this is the fastest-sieving polynomial, highest E was 6.929.

[code]
n: 31730091958529215533314175376017378473863254811535047221198082180840937158901485785321937399737527139580551375312148902058836702708608846963652304281291363527670758418930784803448211
# norm 1.077785e-17 alpha -8.212748 e 6.588e-14 rroots 3
skew: 29296604.29
c0: 40501257117816600006724996898941787355353088
c1: 5950548212769676633235623700049223584
c2: 484211295574127770364814026122
c3: -4553476120491220718099
c4: -1352990782235010
c5: 7698600
Y0: -83755226054300379292957549181971711
Y1: 231533427692929633
[/code]

[QUOTE=fivemack;439559]300 hours on GTX970 plus a small amount of CPU time; this is the fastest-sieving polynomial, highest E was 6.929.

[code]
n: 31730091958529215533314175376017378473863254811535047221198082180840937158901485785321937399737527139580551375312148902058836702708608846963652304281291363527670758418930784803448211
# norm 1.077785e-17 alpha -8.212748 e 6.588e-14 rroots 3
skew: 29296604.29
c0: 40501257117816600006724996898941787355353088
c1: 5950548212769676633235623700049223584
c2: 484211295574127770364814026122
c3: -4553476120491220718099
c4: -1352990782235010
c5: 7698600
Y0: -83755226054300379292957549181971711
Y1: 231533427692929633
[/code][/QUOTE]

That's quite the gap. How many polys did you test sieve? How many total had a better score than the actual winner?

[QUOTE=Dubslow;439968]That's quite the gap. How many polys did you test sieve? How many total had a better score than the actual winner?[/QUOTE]

I test-sieved the 32 best E-scores, which were from 5.826e-14 to 6.929e-14; the fastest-sieving one had the second-best E score.

[code]
rank yield stderr runtime/rel stderr
1 24186.7 2481.4 0.4135 0.022151
0 24233.5 1607.0 0.4191 0.024059
6 22732.2 1051.5 0.4254 0.019456
8 24534.2 2728.6 0.4261 0.026977
2 23580.6 2195.7 0.4297 0.020619
24 22994.2 2456.8 0.4308 0.023803
3 23500.3 1887.2 0.4308 0.017813
16 23212.9 1428.7 0.4314 0.023826
[/code]

[b]C134_138_97[/b] needs GNFS:[code]98408865942580778227961341707102990415039715936791578392969116178206906434884808658322492364270226723481009406859125452591724638907929[/code]

I'll take it.

I factored it on Aug 27: [url]http://www.mersenneforum.org/showpost.php?p=440875&postcount=118[/url]

Ok, thanks.

Ugh! Sorry. Forgot to remove it from the yoyo queue.

[b]С142_131_124[/b] needs GNFS:[code]5210529691066565797257456228658139553918217336357339442709049302999626656196741161542669359479005591654809933254107274624028909150290695297551[/code]

[QUOTE=XYYXF;445952][b]С142_131_124[/b] needs GNFS[/QUOTE]That's the only composite with less than 180 digits :)

[QUOTE=XYYXF;445952][b]С142_131_124[/b] needs GNFS:[code]5210529691066565797257456228658139553918217336357339442709049302999626656196741161542669359479005591654809933254107274624028909150290695297551[/code][/QUOTE]

I'll take it.

[QUOTE]С142_131_124 needs GNFS
[/QUOTE]

[code]
prp79 = 1698827787034931802163995731894118338461198389028821456257197686405267773776937
pro64 = 3067132366701407937479806854708298818801622967334434350023644023
[/code]

Factored with GNFS on my hardware. Thanks to wombatman for the poly.

Thank you Sean.

[B]C194_139_131[/B] is ready:[code]34455969275555543008894959549834908911628105576528370596905240101374255465270440968637373665134441021829321232908692364288101466106630998208891527349709493825004569737350006429544430702041657691[/code]

A draft poly is given there: [url]http://www.mersenneforum.org/showpost.php?p=447185&postcount=172[/url]

C194_139_131
 

Ryan will take it on. Please reserve it. Thanks.

Done: [url]http://www.primefan.ru/xyyxf/status.html#0[/url]

[B]C192_139_81[/B] is ready for poly selection:[code]100804022854861384017200551353007322440938485895018151669918849355376386041425159934273637210496826971441417303620460607300604462083690522574291981892390624272540892350539055616931297555555039[/code]

[QUOTE=XYYXF;448255][B]C192_139_81[/B] is ready for poly selection:[code]100804022854861384017200551353007322440938485895018151669918849355376386041425159934273637210496826971441417303620460607300604462083690522574291981892390624272540892350539055616931297555555039[/code][/QUOTE]

It's already been queued up as an SNFS job on NFS@Home - see Fast Breeding thread post #785.

C148_137_93
 

Reserving the C148 cofactors of 137_93 for GNFS. Thanks.

How about [B]C148_130_73[/B]?[code]1543831755931659461098807655883095736001323644930209364741184069768058637054375369490550656083230874578794477708526335653381729535086576140886027969[/code]

[QUOTE=XYYXF;452781]How about [B]C148_130_73[/B]?[code]1543831755931659461098807655883095736001323644930209364741184069768058637054375369490550656083230874578794477708526335653381729535086576140886027969[/code][/QUOTE]

I'll reserve it too.

[QUOTE=swellman;452747]Reserving the C148 cofactors of 137_93 for GNFS. Thanks.[/QUOTE]

Using GNFS on my own hardware:

[code]
prp84 = 660780155466974508416812209196161046421760225249757337167598060281985198649427270351
prp64 = 1692057813011340650987037020073066856310234604364686523603178291
[/code]

[QUOTE=XYYXF;452781]How about [B]C148_130_73[/B]?[code]1543831755931659461098807655883095736001323644930209364741184069768058637054375369490550656083230874578794477708526335653381729535086576140886027969[/code][/QUOTE]

Fully factored using GNFS on my machine.

[url=http://www.factordb.com/index.php?query=130%5E73%2B73%5E130]p64*p84[/url]

[B]C145_149_63[/B][code]1449353255124022261808566209008632135575904488457930223493756984423693270668723601812936499716798833709142746967942077452037574926615938817725973[/code]

I'll reserve C145_149_63 for my old (read slow) machine.

C145_149_63 Factored
 

GNFS using my own hardware.

[code]
p66 factor: 910903843192824489263904372041495518691822588132358036930384222173
p79 factor: 1591115534263056371312759986584988414763173376074526993865622914427815347400601
[/code]

C155_137_73
 

C155_137_73 is the composite cofactor remaining after a yoyo@Home t55 hit.

I will take it unless someone else has burning desire for it. Thank you.

C153_150_56
 

C153_150_56 is the composite cofactor remaining after a yoyo@Home t55 hit.

Ate this composite a GNFS target?

[CODE]
677953706273160953529392098570944142519013451368788472875832345625967677819265011431974809605117596619612005010585175417247163894103497302456687984527337
[/CODE]

I will not take it, just found on yoyo@Home.

C153_150_56
 

Reserving C153_150_56 for GNFS.

[QUOTE=swellman;457492]Reserving C153_150_56 for GNFS.[/QUOTE]

Factored on my own hardware. [url=http://www.factordb.com/index.php?id=1000000000044675174]p66*p87[/url]

C153_137_135
 

Reserving C153_137_135 for GNFS.

[QUOTE=swellman;455498]C155_137_73 is the composite cofactor remaining after a yoyo@Home t55 hit.

I will take it unless someone else has burning desire for it. Thank you.[/QUOTE]

[code]
prp78 = 285703033143929046954933417985392854739459097305464474872775523920168339137583
prp78 = 332016918932511040630120491710088857004175248676896055131331897970268257904803
[/code]

[QUOTE=swellman;458305]Reserving C153_137_135 for GNFS.[/QUOTE]

Factored on my own hardware using GNFS

[code]
prp83 = 79562138932820369047561072953953877624596927116995082713200979243206162004132732883
prp70 = 1916698924933418847512947427250716312718745914610473159437818774318357
[/code]

C160_133_72
 

C160_133_72 is a composite stub leftover from yoyo hitting a p53.

Reserving C160_133_72 for GNFS.

C160 poly
 

@swellman
Do you need help selecting a poly for it? Post the best one you have when it's ready.

[QUOTE=Max0526;460208]@swellman
Do you need help selecting a poly for it? Post the best one you have when it's ready.[/QUOTE]

I will do that, probably tomorrow night. Thanks Max!

C160 poly
 

@swellman
I'll start a CADO run overnight and we'll compare tomorrow.

C160 poly
 

2 days yielded the following

R0: -5542095960202417586114168962747
R1: 1264181621558063
A0: 160753262104790267927287547034197108100
A1: 277657051349751370140439301046153
A2: 37328804662246871005647074
A3: -21902578304049214732
A4: -4405719338536
A5: 344400
skew 4822173.88, size 1.569e-15, alpha -7.030, combined = 1.485e-12 rroots = 3


R0: -6233016590901351272992401807520
R1: 379741717685467
A0: -969378830918004277802180294527834240557
A1: -1380205384833034872630478493896087
A2: 173661415397377121170457649
A3: 45509299996276747407
A4: -1696086553252
A5: 191400
skew 7378058.58, size 1.503e-15, alpha -7.859, combined = 1.441e-12 rroots = 3


Some additional polys with good scores


# norm 1.859947e-15 alpha -7.544734 e 1.461e-12 rroots 3
skew: 6787271.75
c0: 772956525262117700737550119779563584500
c1: -214288615399410055615969039412817
c2: -34354339804155624734904712
c3: -34261641715524715660
c4: -2961285074536
c5: 344400
Y0: -5542095959142006871771807021591
Y1: 1264181621558063


# norm 1.805316e-15 alpha -8.399792 e 1.430e-12 rroots 3
skew: 8554553.49
c0: 6790473912667178937011648356964559100135
c1: 1953918320699741974414832027210447
c2: -960875073982781985074580781
c3: -89113694369574709175
c4: 4038765446742
c5: 591192
Y0: -4974402913782874063974219416292
Y1: 6105063498257443


# norm 1.762005e-15 alpha -7.691665 e 1.411e-12 rroots 3
skew: 4944177.07
c0: -397581746228091428967428393231739078923
c1: 41602665854608148690008631647667
c2: 441797030844300219582381107
c3: -5624184224705628917
c4: -8819568478962
c5: 765072
Y0: -4724395074461066672926202586300
Y1: 586555055006713

C160 poly
 

@swellman
CADO's best optimization so far:
[code]
Y0: -5542095960043536504098373162970
Y1: 1264181621558063
c0: -82177306525217363986997309595251456943
c1: 119704644735981910788035855103453
c2: 28660023458786054427140024
c3: -24063005200215474508
c4: -4189300100536
c5: 344400
skew: 3806237.43515
# lognorm 50.16, E 43.60, alpha -6.56 (proj -2.28), 5 real roots
# MurphyE = 1.51445182e-12
[/code]

@swellman
Another c5 just in case:
[code]
# norm 1.713138e-015 alpha -7.905155 e 1.410e-012 rroots 3
skew: 3288276.75
c0: -208249056633504303304399689109474547112
c1: -195393431438576897043078920319302
c2: 154249046525129178248995659
c3: 6573778969757849537
c4: -4111684549092
c5: 1705680
Y0: -6615758942507413177282161265115
Y1: 1145943705669392620669
[/code]

Thanks Max! I'll test them and start sieving in a day or two.

C169_142_126 factored via GNFS
 

RyanP has factored C169_142_126 via GNFS.

[url=http://factordb.com/index.php?id=1000000000044745166]p78*p91[/url]

[QUOTE=swellman;460168]C160_133_72 is a composite stub leftover from yoyo hitting a p53.

Reserving C160_133_72 for GNFS.[/QUOTE]

Factored on my own hardware, poly by Max.

[code]
prp77 = 61738966992916347886989742212995625974144755479630716413215847943497580050697
prp83 = 29165806422337716307226109195426418610074938747807063853370276465396126075660506313
[/code]

C149_146_107 is a composite stub which fell out after an ECM hit by Yoyo@Home.

[code]
42497797435119133814604402769786533898843607382300240603762299534006379912990391853806777327848937905654242895222527642891463290960658798207803534147[/code]

Who wants to factor it?

[QUOTE=swellman;506870]C149_146_107 is a composite stub which fell out after an ECM hit by Yoyo@Home.

[code]
42497797435119133814604402769786533898843607382300240603762299534006379912990391853806777327848937905654242895222527642891463290960658798207803534147[/code]Who wants to factor it?[/QUOTE]


Let me try.

[QUOTE=pinhodecarlos;506887]Let me try.[/QUOTE]

Any progress with the C149?

[QUOTE=swellman;508677]Any progress with the C149?[/QUOTE]

Apologies but no progress so releasing it.

[QUOTE=pinhodecarlos;508689]Apologies but no progress so releasing it.[/QUOTE]

No worries, I’ve got a decent poly for it now so I’ll sieve it locally.

Reserving C149_146_107.

C149_146_107 Factored
 

C149_146_107 factored using YAFU.

[CODE]
prp61 = 1761951791183669916614908986907608324853062512942201792077591
prp89 = 24119727706380285088060746955583809959772110742764859209305129271729783381900547279016117
[/CODE]

Results reported to factordb.

C169_142_77
 

Yoyo [url=https://www.rechenkraft.net/yoyo/y_factors_ecm.php]found a p56[/url] in C225_142_77, leaving a [url= http://factordb.com/index.php?id=1000000000044696166]C169[/url].

[CODE]
4532810963887470933074023621910847779038655526821170521067921350121924871309606636445629628596316795791129112562057124814134342193914241832114240447184253247213728938503
[/CODE]

Is anyone able to prepare it for NFS@Home to sieve? Or factor it on their own hardware?

[QUOTE=swellman;538808]Yoyo [url=https://www.rechenkraft.net/yoyo/y_factors_ecm.php]found a p56[/url] in C225_142_77, leaving a [url= http://factordb.com/index.php?id=1000000000044696166]C169[/url].

[CODE]
4532810963887470933074023621910847779038655526821170521067921350121924871309606636445629628596316795791129112562057124814134342193914241832114240447184253247213728938503
[/CODE]

Is anyone able to prepare it for NFS@Home to sieve? Or factor it on their own hardware?[/QUOTE]

On it.

[QUOTE=swellman;538808]Yoyo [url=https://www.rechenkraft.net/yoyo/y_factors_ecm.php]found a p56[/url] in C225_142_77, leaving a [url= http://factordb.com/index.php?id=1000000000044696166]C169[/url].

[CODE]
4532810963887470933074023621910847779038655526821170521067921350121924871309606636445629628596316795791129112562057124814134342193914241832114240447184253247213728938503
[/CODE]

Is anyone able to prepare it for NFS@Home to sieve? Or factor it on their own hardware?[/QUOTE]

[CODE]Info:Square Root: Starting
Info:Square Root: Creating file of (a,b) values
Info:Square Root: finished
Info:Square Root: Factors: 334934552667244785028843034000785796110348247838669358680538431899270753 13533422956188064592296554298122916209607208504382200003706198539836740909279236212405917339451751
Info:Square Root: Total cpu/real time for sqrt: 48939.6/8300.86[/CODE]