is 2 288527 - 1
has 86856 decimal digits
takes 0.002 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
Actual267102.984971.6418%1000000000231000000000134.070021.4027%237.054977.7112%6.0694%
PrimeNet2400.000052.5000%3000800000.000115.0737%0.000159.6600%7.1600%
GPU722440.000056.8182%50001300000.000110.8875%0.000161.5196%4.7014%
Difference+23+102.9849+14.8236%+999995000+230999870000+134.0699+10.5152%+237.0548+16.1916%+16.1916%

Known prime factors (7 factors, 378.7 bits, 0.13126728% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28852757872745671032.43010029
3 × 3343
-333432.322e-91.833e-63.369e-6
2885271135094070711236.724196705
5 × 39341
2008-07-215393415.003e-82.128e-53.967e-5
2885277410325499111239.4311284165
32 × 5 × 28537
2008-07-219285374.970e-71.549e-52.877e-5
288527178199468686011444.01930880900
22 × 52 × 308809
2008-07-21253088099.564e-60.00020.0003
28852712933131222549564871960.1662241234134509
2241234134509
2014-09-26122412341345090.81451,209.92,259.7
28852763956769164470649449692272.43811083324812664092
22 × 3 × 31 × 29793883905011
2015-11-0631297938839050113,969.016,08430,040
288527143457707623983007754501554732993.53524860361010231799407768
23 × 7 × 19 × 31 × 53 × 44179 × 321893612071
2020-10-31441793218936120716.995e+9173.77324.55

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2885276569101046572482632572169.154
28852742885588294190884135372271.861
288527841141653607088238206812376.155
2885271031289252979458581707672476.449
28852720227316030916226572776712580.743
288527132051606673179386912445112683.449
28852774847581395934713669067661292892.596
2885271468032056643038453302751195773096.890
2885279583871208179472878199607226573099.597
2885272304677112304779413446716156468732104.184
2885273701353835730308295781634830342332104.868
28852748679176991646255718991091992012733108.585
28852772596949460358794986166043447579933109.162
288527473940477380169023062219896084775934111.868
2885271170610316243928637522402283529345735113.173
2885277642189048311785469070462408865173735115.880
28852711397062283982457448067760993901836936116.456
288527149890995762454990868509418269333728137120.173
2885278302291427723988600177906274508875519138125.965
28852784959045849509598384020291464085589815939129.320
288527162837993321631874295926666085499554958340130.259
288527554644940965006257594708756517179676451940132.027
288527827161288174410603031895178304814456390340132.603
2885271063068308849868334144535733903858231290341132.965
28852710878595382852803717577632182730474570764742136.321
28852713337799237188452651985358221999300041552942136.615
28852725564087277506738030020634807724495200327342137.553
288527261602532507819989459783915372798198170177743140.908
288527420138479253718828918205860083196152970403343141.592
2885271707840757252730802938798994757442018259285744143.615
2885272742823671014090977329221663172806441964535344144.299
28852753796702574369673261553905145602146758910388945148.592
28852765957928694606607463362276492642742785952122345148.886
288527867460347598360542135541797550080240668423232746152.604
2885271293673782206105765495659325048339153296748719947153.180
2885271855357357587121390028084399064916418899990335147153.700
2885278445594125794006054733706789223581919233831515947155.887
288527942388177291595997049357426333713021899988335556149162.689
2885274787009485858724343141620055213382877121513815500150165.034
2885276152268186790544031493329354844478365119956783800150165.396
2885279175091491371202428360094437791289505073923916533750165.972
28852762957418383867658859380081579196772099226790051384
9
51168.751
28852793890587372761911585045976590803311849532139955811
3
51169.327
28852712066825341351925656516475516999877995300473227371
13
52169.689
28852714794639212968301617227010230793890621576775336577
91
52169.983
28852761295343856355097926424047164208266302663931764626
33
52172.034
28852715139656830452973536148155227526753358936953410805
559
53173.339
28852729017643891810844689949688549198315409119371881343
383
53174.277
28852798837433789347497671452002798849105262491137431967
919
53176.045
28852714739970207031557597437032559159348923634642558870
9703
54176.622
28852718943820781398171956870067879515005877873819880785
8703
54176.984
28852719385599172744511633716081819576808095727307534698
91847
55180.339
28852731133628859711303612269085414867373583844357431304
91063
55181.023
28852774868453777560930487650953607486392274645880704670
767833
56185.610
28852710737462448260272107251220258437869373080632182870
0374017
57186.131
28852748876972087412249921604391258908865317823001257931
1261153
57188.317
28852721060051356453147220778919217580400954751056098483
15994921
58190.424
28852795865438158119821435860703044273595610302842597332
21089289
58192.611
28852713748801936889196059868021501417931179175504717124
083651761
59193.131
28852733062369534470449623276628974563398191496673544954
4096581951
60197.719
28852753098773637910659769857014057547693406848337337048
5128084079
60198.402
28852754337060838307635946243923784963337276616708441535
12403412071
61201.758
28852769834031402437092748432576576011570064305374231829
34891905071
61202.120
28852710414591950077223004074696745112543665694461497891
063805897927
62202.696
28852735473298457540355955038832541063097226457009664964
538986754911
62204.464
28852767990414435175219893218360833532472247697430124233
756433635007
62205.403
28852716793307248933980104893283305034653900644074075591
3502229640161
63206.707
28852769575981373479297608565351769254192811722523223803
3745017477943
63208.758
28852785304254697491457850042962913573822926029592081089
7666518023601
63209.052
28852710963309220999170726628676476268081381187466583121
10391601506601
64209.414
28852716349964289078793772496355191234752701073590559745
44290052883537
64209.991
28852711218978505848055176664070001332794419544234826295
052086383755249
65212.769
28852716731252784443572178706628750478994265281703350924
660499474509913
65213.346
28852721503018645557944051876211899912705842445371328218
560432677088913
65213.708
28852710922797708128765708474829075574982291455552389535
1970546437486433
66216.053
28852712188029959491515023792057311765059372309330477514
183885185604474207
68222.855
28852755479961210679816713433806848286405486514848413134
492615030265812863
68225.041
28852779568091776079183454350810211765147550998718478800
738701016920062487
68225.561
28852711866266223680174968059967661655246263060498592696
2832822761133691119
69226.138
28852715606183557929090069814885391398285539156954030879
18315645595555002031
70229.855
28852719134101033159646291784356606998604428274249447181
63861893716653540217
70230.149
28852737528899622200350327089054751143500698156611281566
267040285615770375521
71234.443
28852760272103118364846377468829841227505509150507419505
677700447297525122609
71235.126
28852724500292002228399295415349707952980119774025874491
9018772560008909256361
72237.150
28852739347919626047922027665507542933139740773266166923
7668971248499371966969
72237.833
28852740265530747680246735107418165161324261739597811418
41182627413070007375681
73241.188
28852777175516290482985760712600721448002592608979384122
27560984941205798934497
73242.127
28852794621732501543939058606140498431305633457744241786
09569238123978693103479
73242.421
28852796828353713458218516457651521958072579203652893244
963641718348084294282671
74245.776
28852712444387292116427713623212976066755204213640657467
0284209384632389802575671
75246.138
28852718558747520853579219159485452656695954681789695737
2822433331453518687290127
75246.715
28852763213229376739494945758114668747215916816099754893
1228656730757689108449511
75248.483
28852712115855728089848878429081307314250830676057559748
54334364093480461422715207
76249.422
28852712398402914061739124880550880965872883044446612869
174429577574956377436767743
77252.777
28852768673340721555409734763488179139867820331815087850
4921949438327726699822470473
78258.568
28852790317269192736594150491940623659138468166922684095
22933109233341031503639645577
79262.285
28852713469328431965709201620232924459213457364856850585
850465566113518342679348502449
80262.862
28852787932895176564927471201108170765872373063751590047
538014374688818795084024940409
80265.569
28852721719004631105599602645261770536329575778850025271
3733167375308563828364722674407
81266.873
28852714178991678856992256747797306624715947902483373064
69177817032097041832748898270687
82269.580
28852721145623363465534735620400592429872990584843899553
59006054474525957664744813654519
82270.157
28852727810136182393090147400305140218557865430002395201
880454784404816056166980645128631
83273.874
28852744663590262300636763919518195166187681715600856555
816925504591710310486530187037799
83274.557
28852710740456752281022114596140927696657908078170608418
30418405426174029841613378137300009
85279.145
28852770117783712615649905006097162994874909030171331360
82780795032317484903104353555240369
85281.852
28852771752961855968189505210049026363240530998091413247
068074581032098579274258609749892281
86285.207
28852713752635998532577456044793811164901472586085116829
2431079262630799592815892237465028697
87286.146
28852777950701868885138678654649196338838270631774890991
211449435878021739476184224352634914583
89295.292
28852750889180785801117917828179825888922609619978544668
7927071556317009552061362165622696277903
90297.999
28852799812107935282807717901572166617675890285261546691
29504715003602651563348320610001698232039
91302.293
28852712237552829474508615651101331492113668945189755555
159441093459440624174496372607952133318273
92302.587
28852716094489383317000380658806710602622875602086138050
0925586548179460194168410592734178629827777
93306.304
28852724002271701336575715842264145782120143091231965574
1948936183302567928323631598446836329703849
93306.881
28852715669595200486481562901928691559603825662954170076
08959715985745341601265084129520745178197809
94309.587
28852779590280543516234832325595636113634935358298114723
1023203616984339994377369059294085130073249199
96318.576
28852757764007373252107505816307920918156209249697652410
96148266644693293876632852522842475400508816925211
3
101334.723
28852713890773656736898454716375427458084422745028751506
49576593386333001437377232094768932592506711959708
383
103339.311
28852790684249778960680776296742631910482784855116582567
94578045651847349987728476407890742468672062920823
703
103342.018
28852717786464602498078929559713159012534725066651813355
83821127886665140131599494030368319525713155359413
07439
105346.311
28852710293515423088289685539951247296846904858257141927
86734011009575162392909678483201890123368924654885
102946452603913
115378.742
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-03-10T19:12:23Seth_TrManual testing200000002820000000-
skipped known factor: 5787274567
skipped known factor: 113509407071
skipped known factor: 741032549911
skipped known factor: 17819946868601
--1.710--12.351%
2021-03-18T19:54:19Seth_TrManual testing20000000036200000000-
skipped known factor: 5787274567
skipped known factor: 113509407071
skipped known factor: 741032549911
skipped known factor: 17819946868601
--21.42--17.576%
2021-05-11T04:53:23Seth_TrManual testing1000000000231000000000-
skipped known factor: 5787274567
skipped known factor: 113509407071
skipped known factor: 741032549911
skipped known factor: 17819946868601
--134.1--21.403%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??36.724121.83026e-80.0043.80398e-8
2008-07-21T09:15:00J FeitsmaManual testing??44.019141.44168e-60.0042.99604e-6
2008-07-21T09:15:00J FeitsmaManual testing??39.431122.43119e-70.0045.05239e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:25.540 GHz-days
Estimated T-Level:26.961
DigitsB1CurvesCompleteFacMiss
2011000528 / 1005.2800.496%
2550000528 / 2801.88615.121%
30250000251 / 6400.39267.537%
351000000100 / 15800.06393.865%

New Calculation Method

Total ECM effort:25.540 GHz-days
Estimated T-Level:26.961
DigitsB1CompleteFacMiss
201100035.8670.000%
25500005.4930.412%
302500000.69150.091%
3510000000.07392.951%
4030000000.00799.342%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002411.764
50000500000070.051
500005000000190.139
700007000000100.102
250000250000001445.269
2500002500000070.256
100000016800000010017.96


Lucas-Lehmer results:
No L-L results for M288527


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:46:18Oliver KruseOllaptop8F2FCCE9E6A2CA__?
2017-09-22T20:36:30Oliver KruseManual testing8F2FCCE9E6A2CA__?
2017-10-12T19:55:50Oliver KruseGTX-08F2FCCE9E6A2CA__no
2017-11-06T20:50:06kkmrkkblmbrbkc4.xlarge
5787274567
113509407071
741032549911
17819946868601
1293313122254956487
6395676916447064944969
8F2FCCE9E6A2CA__no
2020-04-17T22:12:38Oliver KruseAddPrpType5
5787274567
113509407071
741032549911
17819946868601
1293313122254956487
6395676916447064944969
F957F113D41F07__no
2020-10-31T09:55:27Jinyuan WangManual testing
5787274567
113509407071
741032549911
17819946868601
1293313122254956487
6395676916447064944969
14345770762398300775450155473
F957F113D41F07ABno
2020-11-01T00:34:48mrhlanai
5787274567
113509407071
741032549911
17819946868601
1293313122254956487
6395676916447064944969
14345770762398300775450155473
F957F113D41F07ABno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 231000000000 (P-1 stage 2)
B1 = 200000000, B2 = 36200000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000 (P-1 stage 1)
B1 = 20000000, B2 = 2820000000 (P-1 stage 2)
B1 = 20000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2021-09-01T19:55:56+00:00