is 2 314453911 - 1
has 94660060 decimal digits
takes 4,490.795 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27412.166760.8108%----12.166760.8108%0.0000%
PrimeNet27648.668561.8421%120000070000000102.47085.7753%151.139364.0459%2.2038%
GPU72280778.704163.7500%190000080000000127.45874.3774%906.162965.3368%1.5868%
Difference-6-766.5374-2.9392%-1900000-80000000-127.4587-4.3774%-893.9962-4.5260%-4.5260%

Known prime factors (7 factors, 362.4 bits, 0.00011525% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
314453911729533073531136.086116
22 × 29		-4292.984e-110.00010.0002
3144539116018779927182631549.096957021
3 × 13 × 53 × 463		-534632.736e-70.00160.0022
31445391159533420683035211652.4039466160
24 × 5 × 11 × 31 × 347		2014-08-08313473.725e-60.00100.0013
31445391161067477798770491652.4399710084
22 × 2427521		2014-08-09424275213.338e-62.73895.1153
314453911207893738121802871754.20733056313
3 × 17 × 23 × 28181		2014-11-1023281817.984e-60.03220.0594
3144539114309964522126519531858.580685309416
23 × 3 × 11 × 197 × 13177		2015-09-16197131770.00020.01870.0278
3144539118721689549860687691859.5971386799344
24 × 32 × 7 × 17 × 80929		2015-12-0117809290.00020.09160.1705

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
314453911439089901917821365752878392685.183
3144539114343159936864914868050899132788.489
3144539114455074477126207442476412972788.526
31445391115166535773963977725587503112890.293
314453911314426166463221748424247104092994.667
314453911636276098368434967380513584572995.684
314453911358318557403571540001572390402331101.499
314453911367551709578910723962343684588731101.536
3144539111251266657994469428400175348148132103.303
3144539113635555845846116587229339378952932104.842
31445391112376625368974044492626028889052733106.609
31445391112695546237256603029743148153306333106.646
31445391125940727952644371922213440571763933107.677
31445391152493929993820014877479056022824733108.694
314453911256586931024714902780929513742651334110.983
314453911263198662768449695709941656972669734111.020
314453911519232013038688314981500087083564934112.000006
314453911532611582953886134083359067878268134112.037
314453911896014635677231902414891721865051134112.787
3144539111813184643258402561546725080815670335113.804
31445391137590172532901178049076419952015585736118.178
31445391126140523848546328217658244700297899218111942137.585
31445391126814112837030868252172600820017920490711142137.622
31445391191284041081231662784240219252542118662979342139.389
314453911265225823021007631729613430411897053010673743140.928
314453911902915754535700498150043627630918760114503143142.696
314453911926182086660803620357562887873968867051223943142.732
3144539111892461899289823293946880538099491850049956744143.763
3144539113829605809006016935919762211853436122340019144144.780
31445391118718865241809037541776665243096477634005008945147.069
31445391119201212939845308522446699238825268145050304145147.106
31445391137879692634728332122815050362003575544622709745148.086
31445391138855776511002710765548263001582882288635339345148.123
31445391165367231109347418281130498709436463287350738345148.873
314453911132277816567369901472320733891339359334613715946149.890
3144539112188161054913007441024456867183805504921646812747153.938
3144539112742327410245038146990048982544294535418411652147154.264
3144539117449218433704029066735817194084079246116059460147155.706
3144539117641169885741900947293561748222906826987842956947155.742
31445391175580929494352208617224500544025579150068081482348159.049
314453911154434027002894806896865871841102144529527550691949160.080
314453911158413482833205524922965682725573062277403056731149160.116
314453911312514321762788684716136174745238375262583375768749161.096
314453911320567190446781608385942032714679438637103680310349161.133
314453911539291490367598057809250598377786823867348398239349161.884
3144539111091315933511947112292109304881608759019943396688950162.901
3144539111566911671380643237933937412372597252944941280013750163.422
3144539113170818942865100826390096630852076210353910611980150164.439
3144539115334281624392917612673634781697034482911876974923150165.190
3144539115471735387159278821146165321805964912416528102203950165.226
31445391110794508414312160180241511175133853293862433465126
3		51166.207
31445391111072661294725408943998512900196683798325566520944
7		51166.243
31445391122624697590035745072611791944331653697814485031639
1		51167.274
31445391122378715549490810412368351790980265179972495018724
97		52170.580
31445391122955370266048949670748942585000688958935447772259
93		52170.617
31445391178147614845083447875285773042408095449131072229909
59		52172.385
31445391115963358597693334252263322302155166254472225410981
59237831		58190.025
31445391154344512193364328674002382021363788656591341730189
85401153		58191.792
31445391155744861521101679223838906373618972330432610242922
20320857		58191.829
31445391155138787794268995528867541179902137836287452592532
797293519		59195.135
31445391111266473037703686268274640120840232728130050989507
4685075407		60196.166
31445391111556787501990031893922817100150214365380795344365
6337737783		60196.202
31445391122798953367775059674486895914791091663781597093242
2637372511		60197.183
31445391123386436771951744066247311357075590041762128219404
7703116359		60197.219
31445391139343097849644820063724120750053845369508343797883
8969435729		60197.970
31445391179615106716723190380527054435699187073878841675308
1242234817		60198.987
31445391111431138875723499999183564475428359234897578558737
66921507361		61199.509
31445391123132172889955224700497101298592129805212832178127
25592196753		61200.526
31445391138915348685179662063378668630881481556050958736568
87878395543		61201.276
31445391139918119345371731740489971445906071128425670059724
29133752767		61201.313
31445391178749509007385968571452684252872421026235753708187
17708636839		61202.293
31445391180778726264976967643013867638298408729060052116032
56110163791		61202.330
31445391116505465170545561005386033601669165983834191108885
851916723023		62203.361
31445391116326013136473633746625610408574112988319772891873
0422658570441		63206.667
31445391116746701824209864062729757621033055893379713170163
5782069626529		63206.703
31445391145490498131841267824702079418674544609733488102924
4579513212449		63208.145
31445391157011269646972382537786778134709996905558196891710
3739867221527		63208.471
31445391194308965153740009753693143242063847805019616486454
78470968802031		64212.519
31445391119084461406046915386243278837286428548844861435635
046298518625663		65213.536
31445391132105867166835245941187712369809724061358159054174
832740543905753		65214.286
31445391132933171115089143954267662063015161176440335776530
868308420798257		65214.323
31445391164969770567866030276552139286759324929176742466333
325183516116169		65215.303
31445391166643911541185322461260217996996803208290956349253
383650757030561		65215.340
31445391132575112467000388218916885454263313891061120565536
2584097742299319		66217.629
31445391165919340293964908803646153826272975764646220792224
0598876432562887		66218.646
31445391113469256394540508960172873499523735180594222126062
77153349469312711		67219.677
31445391113816332177834040714942551436544651737150987616500
53149370729410159		67219.714
31445391147035329558678756961087840026178700536226513760124
17770381483184217		67221.481
31445391113666117149835300116060587221081665719055551983251
697074301934621353		68223.020
31445391146523948299481603541181858335782307578067611389108
304215792650866639		68224.787
31445391147722777345790006183432925639259522165667216052545
392387147058599991		68224.824
31445391133186822918532883274246805254887796207911965929894
168790636634916282837497		74244.231
31445391168801509210041618290143937057869387669694104977305
2187026331502241753633943		75248.605
31445391113922745786218071509101906290470372984195529494285
80359354214286587992400039		76249.622
31445391123422291952567230254608129423816887975763812080934
76350718266860789673901809		76250.372
31445391124025837544680400548893505265118831072036848783717
78359796189693300527683721		76250.409
31445391147397596408914238520933118065166192348970258504057
42327059546352105909890657		76251.389
31445391148618937618702367474487311192466898154129066163973
88909548902861642247015033		76251.426
31445391123764621918636213917049637933063665624868962879261
558390338904155607929592607		77253.715
31445391148090338929726193629490133871444093674361559367650
209934247171228472812008111		77254.732
31445391198262680156727438138054207642394375174846924793861
048345405748189647252663983		77255.763
31445391110079471278606706261031198146882536544887213681540
6016834828441201125927599127		78255.800
31445391134313828537439372051742294546607103063214787691700
2285147279322798183919647601		78257.567
31445391199698844475403900269596459110923492031546343271522
9765020399914354077085708609		78259.106
31445391133940758995671631137091333040380317624423474954841
81394059346895192536781096567		79260.873
31445391134815344434462038816957527208208939238838365969971
99408803525732855045306033823		79260.910
31445391119606243304209857930307251275389910101053104620590
1012556317962589379364583762897		81266.726
31445391139675400217443712146765786635513592882810238352454
5548641476986344624364820905281		81267.742
31445391182253351583954998669640653542275185901761722284971
46999819436907294554430112869839		82272.116
31445391128001740615820232857737181206269022148047724771058
413571101513302917617898312728057		83273.884
31445391128723289435824683800071360161773921036382737507214
818862377569411038322049277335633		83273.920
31445391128411001798897389160858288933132125070139879204130
8862061454156508526867094715868311		84277.226
31445391114303402938097200444021693560181213565171664303607
741091314976546777748517995097538118681641		92302.812
31445391128944516664164541642202638773254429265889686289018
054829689682188675565266111903764493831193		92303.829
31445391160006540389186384012670007079333898159964353900261
5310361449216201251397043211951845450626167		93308.203
31445391120428195895649169418665301046367992631692899341353
76004369155018751167170174222350054227503121		94309.970
31445391120954589624008961262906459412146526630671821447073
63735463252629576569899322326277971187809449		94310.007
31445391120726765464415971279613455098164663851999512902812
535686371946253885925900418988903098655990783		95313.313
31445391117099956733835319787261387370474942891886929203758
7359517319635510252128461302493769613015232663793		99326.323
31445391112474983993264900989271225669874509863769497963251
62626745472909612135651015983979467994587213759249
5643769929		110362.409
P-1 results:
No P-1 results for M314453911


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-08-09T10:32:00ANONYMOUSManual testing??52.439161.43055e-69,1972.92985e-6
2014-08-08T10:18:00TJAOIManual testing??52.403161.81709e-69,1973.72152e-6
2014-11-10T12:20:00TJAOIManual testing254255*54.207173.51855e-79,1977.20622e-7
2015-09-16T11:14:00TJAOIManual testing258259*58.580184.53546e-59,1979.28892e-5
2015-12-01T12:19:38TJAOIManual testing259260*59.597184.44031e-69,1979.09405e-6
2022-06-28T00:39:42LordJuliusManual testing260266--0.046--
2019-06-16T16:41:15Seth_TrManual testing266267--0.048--
2019-06-17T03:53:01Seth_TrManual testing267268--0.095--
2022-08-10T19:29:42LordJuliusManual testing2126854.207177.98365e-69,1971.63510e-5
2022-08-10T19:29:42LordJuliusManual testing2126858.580180.0009,1970.000
2022-08-10T19:29:42LordJuliusManual testing2126852.403163.72504e-69,1977.62912e-6
2022-08-10T19:29:42LordJuliusManual testing2126849.096152.73648e-79,1975.60449e-7
2022-08-10T19:29:42LordJuliusManual testing2126852.439163.33850e-69,1976.83745e-6
2022-08-10T19:29:42LordJuliusManual testing2126836.086112.98439e-119,1976.11223e-11
2022-08-10T19:29:42LordJuliusManual testing2126859.597180.0009,1970.001
2019-06-18T18:05:10Seth_TrManual testing268269--0.190--
2019-06-22T09:14:10Seth_TrManual testing269270--0.380--
2019-12-07T10:14:43Seth_TrManual testing270271--0.760--
2019-12-05T17:34:51Seth_TrManual testing271272--1.521--
2019-12-12T18:47:53Seth_TrManual testing272273--3.042--
2019-12-28T07:32:15Seth_TrManual testing273274--6.084--


ECM factoring results:
No ECM results for M314453911


Lucas-Lehmer results:
No L-L results for M314453911


PRP results:
No PRP results for M314453911


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
TF factor-bounds graph:
274
273
272
271
270
269
268
267
266
260
259
255
2
230
240
250
260
270
280
290
2100
Last modified: 2022-08-10T19:29:42+00:00