is 2 18251 - 1
has 5495 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671,628.070777.6119%4000000004000000000.17068.0118%1,628.241379.4056%1.7937%
PrimeNet2400.000062.5000%500100000.00003.6091%0.000063.8534%1.3534%
GPU722440.000165.9091%500100000.00001.5172%0.000166.4263%0.5172%
Difference+23+1,628.0705+11.7028%+399999500+399990000+0.1706+6.4945%+1,628.2411+12.9793%+1.2764%

Known prime factors (6 factors, 333.3 bits, 1.82604052% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
182518906489723.086244
22 × 61
-4616.446e-113.031e-93.472e-9
18251159339990491133.891436524
22 × 3 × 11 × 3307
2008-08-261133079.315e-88.129e-81.434e-7
1825118052463066871340.71549456093
49456093
2008-08-261494560931.430e-50.00110.0021
182511999919217545276318572167.4395478930517629928
23 × 23 × 29776796291467
2008-10-1623297767962914672,765.3691.991,292.4
1825118992595910883185741912270.68652031658295115845
5 × 149 × 585727 × 119238403
2008-10-1658572711923840319,9700.00300.0052
182512169198834524362354853953519613097.4535942684878977487137290980
22 × 5 × 151 × 1808365703 × 1088151830533
2014-09-16180836570310881518305331.888e+1226.01747.230

57 Composite Factors:
exponentprime factorscomposite factordigitsbits*
182511419159872559289611856.978
18251160784063727983919432063.802
18251287647929339614203406632374.607
1825117812258511955610533304200732890.525
18251169157346561726074095278253992993.772
182512561933118536051166884912622073097.693
18251318667109104432569745366010399331101.330
182513026280051820539703616842994435932104.577
1825136103467811459649643013765332775933108.154
18251342863136225204896488716454891521734111.401
18251193199455585040535455208336289177492937120.540
182512838205101900428533678835172595251057738124.416
1825126953529992459066844326672344670404555139127.664
18251321555138924619443489356027784949892815140131.240
18251345640121664030981295742959153559428508940131.344
182513053706751295288933322891729610334214311341134.488
1825137983657553247115385800230603132198960268742138.124
1825139159381844948500074237976985563171286320742138.168
18251575272621773400168713654526306360359130119143142.045
182515463180886549572270481351431472158165962863344145.293
182513078439941559353630569740412528626360860804252147154.431
18251338301028177762347465360510064260295585444613594349161.211
18251348772603648833521477699725404171543866731165022349161.255
182514338222435842088082879573794124285090552835102157750164.892
182515123659277825949095246308188347809168628455332839950165.132
1825141198716914479976738176872552216354424013413583855
1
51168.139
1825148657760471064013381747181229541030511408416389953
7
51168.379
1825160523156333098120341933414253428915465420025458446
63
52172.016
1825162396555307683726563688435468764745800565814050901
43
52172.060
1825168569857512463126094452399420297312627033932128126
7969
54178.840
1825138638330404380763247198012322056209791872829756181
4313153
57187.978
1825136693591901292985353882819544071688629757680393705
60257439
58191.225
1825153904882612601874474610619278060784787469333712537
486718207
59195.102
1825155573423348577672611849884992976305206053561662039
902637927
59195.146
1825169125232167058295026777362017101680420673753402034
6096480273
60198.783
1825161071668166632019546585325646048439164223881912590
79071950841
61201.926
1825165646031613534416367565240924080959423447667480839
08451537999
61202.030
1825178315600298906103243684869476355373611747649232071
182696385399
62205.607
1825174373831550108214437807472368648877380109608056001
8556463690537
63208.854
1825110925920443936529568365716165387855306964143662203
029279560161481
65212.731
1825161566311991835086701474728025433392854824615726393
38284494490191497
67221.869
1825158467565845959653049913977507267690021438299249375
101700630221175511
68225.117
1825169751703259060392057274360945759489516392070866130
0435902346895954111
69228.693
1825166240971258889176069997343676917517124829504294509
19112939738667194593
70231.941
1825182394105695476135729328136203909644993056005926593
022396760038916319207
71235.578
1825197311590248795817298823999004149114025067768921830
996045080503068750209
71235.818
1825112478807006846339648251705254919356511156267380918
07805384510203403485551
73239.498
1825111850725611899104846991123343671449895895841062800
963066114797819588299313
74242.746
1825173384219604159555263576802249062301012455839316913
5561453496922247768937634223
78258.664
1825111114235733959984876741768208418144465369167270920
567208771280897000906621640439
80262.585
1825110554835730439764642957312315805298811184745357158
5086737757719517387172359942057
81265.832
1825113128676017949222303133094436820387534012820100380
71582680010160773833234918434143
82269.469
1825114874165499953660554931633899002117895357167646032
5636918695733008675638289110637209
84276.293
1825111693040853842855100140957113750197654742230808301
974132352101016820377194635449591853927
89292.555
1825113247659140951677824223249307348947401170176471054
49221634357440388706476989942710084949201
91299.379
1825123700493893093023682634946680671590859360699078721
64384892817100080595529248156880343990014241
94310.184
1825121108818815340019140612764362698803660139661337694
44550023964168087972319469788752505806327794730984
9
101333.271
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T08:16:24Seth_TrManual testing400000000400000000-
skipped known factor: 8906489
skipped known factor: 15933999049
skipped known factor: 1805246306687
skipped known factor: 1899259591088318574191
--0.171--8.012%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??33.891113.04542e-81.90719e-51.08184e-7
2008-08-26T19:58:00ANONYMOUSManual testing??40.715136.27629e-61.11717e-51.30600e-5


ECM factoring results:
Total ECM effort:45.789 GHz-days
Estimated T-Level:37.645
DigitsB1CompleteFacMiss
2011000687.0350.000%
2550000159.2510.000%
3025000028.9090.000%
3510000004.2821.381%
4030000000.52958.925%
45110000000.05794.471%
50440000000.00599.468%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000001480.045
250000250000005700.875
2500002500000010.002
10000001000000001,4218.722
30000003000000001,96336.15


Lucas-Lehmer results:
No L-L results for M18251


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:20:51Oliver KruseOliver-PCCFE1085CB99437__?
2017-09-21T20:26:48Oliver KruseManual testingCFE1085CB99437__?
2017-10-02T10:08:55kkmrkkblmbrbkManual testing
8906489
15933999049
1805246306687
199991921754527631857
1899259591088318574191
216919883452436235485395351961
CFE1085CB99437__no
2017-12-07T02:54:52ATHManual testing
8906489
15933999049
1805246306687
199991921754527631857
1899259591088318574191
216919883452436235485395351961
CFE1085CB99437__no
2020-04-17T13:48:43Oliver KruseManual testing
8906489
15933999049
1805246306687
199991921754527631857
1899259591088318574191
216919883452436235485395351961
BCBCBC39A00325__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2021-10-24T22:16:03+00:00