is 2 33563 - 1
has 10104 decimal digits
takes 0.000 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
Actual267885.317776.1194%20000000050000000000.440612.4215%885.758279.0857%2.9663%
PrimeNet2400.000060.0000%500100000.00004.2223%0.000061.6889%1.6889%
GPU722440.000163.6364%500100000.00001.8174%0.000164.2972%0.6609%
Difference+23+885.3176+12.4830%+199999500+4999990000+0.4406+10.6041%+885.7582+14.7885%+14.7885%

Known prime factors (7 factors, 428.4 bits, 1.27649119% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3356320204927824.268301
7 × 43
-7437.093e-118.554e-91.360e-8
33563369998513928.4635512
23 × 13 × 53
2008-08-2613531.271e-91.449e-82.526e-8
3356318283108631030.76827237
3 × 7 × 1297
2008-08-26712978.078e-97.377e-81.261e-7
3356339000877271031.86158101
3 × 107 × 181
2008-08-261071811.343e-81.060e-72.079e-7
3356313515424931636753272749372580.16120134411303573508436
22 × 32 × 11 × 12653 × 1600969 × 2509963
2010-04-271600969250996312,090,0690.00160.0031
33563552190664683002661337187979045140134112.08982261815791645958546194913900
22 × 3 × 52 × 37 × 227 × 613 × 53258506195742610899
2018-09-30613532585061957426108993.900e+122.770e+95.173e+9
33563234531437287610360173832827111955744937120.81934938985979741137588092963547948
22 × 1660843 × 5259224679837458686355809
2021-10-23166084352592246798374586863558095.302e+122.735e+145.109e+14

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3356374757929452735511652.731
33563369408875202220011755.036
33563788009878176309291756.129
335636764723006117467191859.231
3356314430266595595499511960.324
3356371305727579270784011962.629
33563136680734513823977998845132683.499
33563291562483154545589128085772684.592
335631440727020421052904154817272786.897
3356326383013172713279708044177132891.092
335632730781741177005903929121101459932104.429
3356350006871272687253670651503216868133108.624
33563247103982205725083786184750474063134110.929
33563527113429010663154611769014839819934112.022
335635330668551947102084316139116867195135115.360
335631010385183563043054245995664937085129128741132.892
335634992717921875974299968746491841660328893741135.197
3356310650288353880131260520506285700477772647342136.290
3356311156972070001546913123605501884585425272742136.357
3356391428105972496741087688767618679392068170342139.392
33563195031184916276428350243627790208296187808743140.485
33563204309724825192601069802143848176996876671343140.552
33563963727208293374788410545837478450928133573743142.790
335631009576190687124217180690887961246012186906344142.857
335632153592034294151024989504245765884083005552744143.950
335634738690569601245331755999582000686652935122344145.087
3356386776283048168586587712567542009710134807333745149.282
33563428796374507941276817161126154789605575926848746151.587
33563914693180161079334872014995569051455651632842346152.680
335631847298206922560661414652148455380953141759935068150163.660
335633940590853956866346637402931716329939269053073464950164.753
335634128063075483104265555474220895915304972371619495150164.820
3356319472037891481432183475524676405965076021102857619
9
51167.058
3356320398413233771424648068005200822154505277552147340
1
51167.125
3356343513169840694817986888109051889746987589132898152
9
51168.218
3356335657763400618993946359159338536651295289213437590
81
52171.253
3356337354168931444040860314468085831062613633520907033
19
52171.320
3356379682585029748088384354241154056365684242306974313
51
52172.413
3356317533084643195837756979115241688756265649423364731
399
53173.550
3356339374357107702648563508950735183876237578456907289
801
53174.718
3356386637994447976144183775329011953146810203949353235
449
53175.855
3356318481308932552456202297617328378008120684979009474
0121
54176.948
3356315865402094772937911367098955867756189094944261577
59831
55180.050
3356333843511651084045437767459367425062741158959767296
34999
55181.143
3356316723434776005174377513197310977936429738430692646
559049
56183.448
3356374630914764737245938945321152048561271901420502304
63836737
58192.250
3356372046250649277852749962873021650132624577400139394
137192087
59195.521
3356375473825640549485016767102471804635444089449467957
939052713
59195.588
3356316099808136973529541954253846581046225354208627275
9534466377
60196.681
3356379555601103306315193235321345098655095730737858443
6197049527
60198.986
3356331697920347695707395628092104371425198381493384371
58589355713
61200.980
3356314568453580180960814659897834208290989480063776531
805230065913
62203.180
3356332055929115053429207470470460508423545446154487424
427868887337
62204.318
3356368380568233380260893477455949428957065553667749415
973891440073
62205.411
3356333789577883844589991992459320490550417350562123948
3162386234423
63207.716
3356361876459993744025999855836429374350548117483352327
86882696694137
64211.911
3356315079121847647382283774366708686970809537953524453
6854997411003199
66216.518
3356327613327486782525833125057614565414574392914268440
42926892964772081
67220.713
3356313644851217999619609087636542531405927693846376949
448686234915574031
68223.018
3356329106711472873482526626123834917809472455024005490
449531175305426799
68224.111
3356364045416667700638614202572011810102701925859198221
083385355158197951
68225.248
3356329435454109044496005006376556763662223720245656016
9437851699977353351
69227.449
3356311728183393839854712865496779644468123091882558936
82422006791438054769
70229.443
3356357953652106200798849896279502386806476992814372809
20491772806249010319
70231.748
3356312362467011947160114427225547268459846570620261231
931575098849108634351
71232.841
3356312950607024490551959234158391940564022034757235795
677445938695062036049
71232.908
3356312502093571920185020131891855794494084971237385574
9986971444268179412999
72236.179
3356355792526609753439933390597097308833820034490211109
727722738690033468243087
74244.981
3356327569322278554340022938423294437945197642144439547
8093395622374024459450737
75247.286
3356358809898051947119468625638837747439139086227081418
2131974581270351177638673
75248.379
3356350485746607660980899280668074210814490461086787217
33490076722331072011415903
76251.480
3356310769439963283228371983148725873446982025673341410
770162236410150236460349887
77252.573
3356323696708931514651416405332325145156438089850139589
173097830414510121629646863
77253.711
3356353216116772061317928071228946963449770653819668163
960520601068069159463017537
77254.878
3356311709493101891833881038382849173217506307669939271
6077029073650846397317641713
78256.016
3356324978274351630049796931373899509428060239058272291
2107543867264023972131647377
78257.109
3356326166606953551881452603314621559648440403866141197
3449710737780203698841413423
78257.176
3356321442765102213613653873733620115498347306110029624
43345227167045970925751655647
79260.211
3356345740944114320024769109832992049413550313376461434
86230904321998206085330720063
79261.304
3356347917053415088588074658752238244798725341594115603
91026824955062113780882395137
79261.371
3356322602432731422143619207619491022045114764378320258
238261225926124114051028254913
80263.609
3356323677735505320183187933744948647544851833118017773
089522853811413964967284300287
80263.676
3356350508503513415590123664945463581449455795514262751
166686556210605842298336470623
80264.769
3356310200608247482877598183602509506600893903084548763
9078480455399098579822401486754081
84275.749
3356321759574828902030958024836523641600751019904198905
0688141764823827586714107861293249
84276.842
3356310752277546029745682604704316736833742842271686664
17046349626576459397901628534804799
85279.147
3356319689884073297047578206595668459032280492104314990
818832813101051800782476367182922481
86283.341
3356343324950356837360228272205501187937567594059980252
951531950708580648198934622476772769
86284.479
3356392419243674091575509805603058654998117689259852680
970820926969958248085062969730350401
86285.572
3356396816056630696562058155063888482276637521995916940
656788453258808289408422789328239999
86285.639
3356345668050336079501800960574965987757693452088616120
0325216676767845117340700165454556351
87287.877
3356347840691741030241293882859752404239246051396573148
9976373726091290928944536675544914049
87287.944
3356310205206263678055191105711955506443448085380926063
46142066700116687669411400610375359521
88289.037
3356383628665008087215143792574499479735426817343238649
85932653298222970052322860438794944369
88292.072
3356387607269281757713684230851735208529562790589907295
50694871789739549465329284754435473231
88292.139
3356318688071193819043896773515931751231953028999509288
222963040935015076479496996504178183599
89293.232
3356392345245647451389656652133163368534925316377033259
394318954435910777285313456069111277649
89295.537
3356339783267033942949563319105639973094971798649176077
4500187213911395258028477878156144375263887
93307.610
3356317503295705862967493071957947630721434553590513793
015680368500310599488227516239610134028203913
95313.069
3356316897110715958565916136234709040495922781582624708
6398625286806904339630369575597039818944706063
96316.340
3356317700984805072570366767854104577116695935257853638
4248532683786046945959867229425581662842809137
96316.407
3356337759111424191663314410442493437062377101836396820
4366927965789991364167653811086175394610392273
96317.500
3356318658289471038230640612114149601403222629678498614
82634278689093903433563016551994100319774776623
97319.805
3356334167603572176736412744869828724343993355625556853
327441293789001741396240155484461997961660135937
98324.000
3356335365281199637473020089191607894854954249057391908
03749317008818751399858743250126372665000760032793
51
102337.337
3356364761933837685833542039622426218988039020553089143
21791522028406961848782742014339101290166147870781
369
103341.532
3356332001465677330516256999337956332433111321273092021
52190194706496088791836860855638811892865116251700
6919
104343.837
3356368264388764487961463529900719414685395058292086627
76467332374289876475204861706979667498822315294467
5751
104344.930
3356369035393594077019031775196451387787350863889941555
58306584377923335877839104160322043030894918454171
61599
105348.268
3356313085101455692721156510620022293175393422834266657
63210522118028545904464403412595544948134128356003
42993605063
111365.800
3356364658727790346863584498486245602599874662919637135
91324577416053989982458196949733973266207149471212
61056889913
111368.105
3356313792769916860994537494348063530212011351189523549
91661397685072636310205315408346195722979774664957
008587625177
112369.198
3356311840494714432828824612080885827459184860834509314
87526771734584024293295605055174268065446808322701
3897240711447
113372.300
3356325257722333714452947907366997221063826534385620371
94011364371564013726779480201953118695798685910170
1599137158263
113373.393
3356312480852353416848857649709581061738430951252194020
84791896454454576307054519880928364900822487875968
61113565983113
114375.698
3356323923633134900115280478289761623914742559266641978
78747983344293358621226428956062705854078398454317
40221734076214699369
120396.568
3356351033043593897016065740315294106079747746792444946
47628445429785177317657734257840802067094765551091
66386349545691361801
120397.661
3356325217471069856563173884577365655300749046459113878
10686807805381353909996615921420630505048060749233
084228739398481397751
121399.966
3356346178968117367845464761412198746961806469164872757
01221016025981654596552037658724320728257129910689
1455486937879193110969
122404.161
3356393304267974674474976278540589259185477149760400501
97204443967078943446254837259577581343902214707499
07055037329302631626031544263
129428.429
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-16T19:15:05kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 20204927
skipped known factor: 369998513
skipped known factor: 1828310863
skipped known factor: 3900087727
skipped known factor: 1351542493163675327274937
--0.441--12.422%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??30.768103.81633e-94.95183e-58.55275e-9
2008-08-26T19:59:00ANONYMOUSManual testing??28.46392.05715e-104.95247e-54.61085e-10
2008-08-26T19:59:00ANONYMOUSManual testing??31.861104.90948e-94.95098e-51.10007e-8


ECM factoring results:

Old Calculation Method

Total ECM effort:112.984 GHz-days
Estimated T-Level:37.172
DigitsB1CurvesCompleteFacMiss
20110004327 / 10043.2700.000%
25500004327 / 28015.4540.000%
302500004048 / 6406.3250.178%
3510000003463 / 15802.19211.164%
4030000002042 / 47000.43464.758%

New Calculation Method

Total ECM effort:112.984 GHz-days
Estimated T-Level:37.172
DigitsB1CompleteFacMiss
2011000669.1500.000%
2550000145.7000.000%
3025000026.0340.000%
3510000003.7942.250%
4030000000.46362.952%
45110000000.04995.225%
50440000000.00599.541%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002790.192
250000250000005852.009
10000001000000001,40919.35
1000000100000000120.165
30000003780000002,00089.39
3000000378000000421.877


Lucas-Lehmer results:
No L-L results for M33563


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:44:16Oliver KrusePRP
20204927
369998513
1828310863
3900087727
1351542493163675327274937
E33B45AC5600E703no
2017-09-21T21:29:05Oliver KruseManual testing
20204927
369998513
1828310863
3900087727
1351542493163675327274937
E33B45AC5600E703no
2017-10-02T10:39:34kkmrkkblmbrbkManual testing
20204927
369998513
1828310863
3900087727
1351542493163675327274937
E33B45AC5600E7__no
2017-12-07T03:13:38ATHxps
20204927
369998513
1828310863
3900087727
1351542493163675327274937
E33B45AC5600E7__no
2018-09-30T06:58:01ANONYMOUS
20204927
369998513
1828310863
3900087727
1351542493163675327274937
5521906646830026613371879790451401
A0C8743E4243CE__no
2018-09-30T13:05:40Oliver KruseGTX-2
20204927
369998513
1828310863
3900087727
1351542493163675327274937
5521906646830026613371879790451401
A0C8743E4243CE__no
2021-10-23T03:59:54James Heinrich3930K
20204927
369998513
1828310863
3900087727
1351542493163675327274937
5521906646830026613371879790451401
2345314372876103601738328271119557449
A0C8743E4243CEB3no
2021-10-23T06:09:15JackBlockWin10
20204927
369998513
1828310863
3900087727
1351542493163675327274937
5521906646830026613371879790451401
2345314372876103601738328271119557449
A0C8743E4243CEB3no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (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
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-11-03T20:42:14+00:00