is 2 259271 - 1
has 78049 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
Actual267114.605673.1343%30000000100358126969105,417.947323.4535%5,532.552979.4353%6.3009%
PrimeNet2400.000055.0000%2600700000.000114.2794%0.000161.4257%6.4257%
GPU722440.000059.0909%50001200000.000110.5475%0.000163.4058%4.3149%
Difference+23+114.6056+14.0434%+29995000+10035812576910+5,417.9472+12.9060%+5,532.5528+16.0295%+16.0295%

Known prime factors (5 factors, 305.1 bits, 0.11769216% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
259271518543618.9841
1
-111.347e-139.908e-92.017e-8
2592712074169720.9844
22
2008-07-21445.392e-133.963e-88.066e-8
25927174362343289393616911579772582.62114340659635939541428
22 × 233 × 20297 × 758091040957
2017-07-14202977580910409577,480,317409.24764.35
2592711627040053164733659830025592787.072313772086574420907049
1409 × 20261 × 10991132315701
2020-05-042026110991132315701169,270,3905,933.411,082
259271552592562615054216290755830092995.480106566596845589020039024
24 × 23 × 289583143602144076193
2021-04-26232895831436021440761933.540e+101.563e+112.920e+11

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
25927110755458157671339.968
259271385600725763120342941813086751131101.605
2592711542400672182182689958744999611332103.605
2592718436902302882004861692409595153732106.056
25927133747560400326424504759843479847133108.056
2592712865430051960980584780574004023588735114.464
25927111461703630067043887495807293419452136116.464
259271799801071755365558599277508333442335937122.589
25927117499561212666465141971683517570354775339127.041
2592715943386185445855138553738401351602950290341135.448
25927112099051097902916576127699956217810260174640642631
43
52169.693
25927141092077840346398969018529587171958936684158159601
2793
54178.101
25927189909023245563422590601528654681852929503021872639
20031
55182.553
25927162738782534598720701349859183970519857417386827520
2960649
57188.677
25927125095476716686194571790215290488339289536174207086
19053167
58190.677
25927121308009319566742760591775387720909102905013424554
1261720599
60197.085
25927185231914002033450003170194495294874895743243645742
0258844017
60199.085
25927146621694640824193840398288473184692063623285470903
94884634833
61201.537
25927118648650883622703867132538208815280420893435337455
017746779239
62203.537
25927113013083783100609391839813607375694920213956381865
09449686375681
64209.661
25927144196412382356431264993882164173690313063388789794
0073281753107231
66218.069
25927196701273751463677313745077604137019552913446401899
37267468146928777
67222.521
25927166858456514006578889571610020894027814786009335620
640279982668640246324715737287
80265.173
25927134668984616142513437135131375064451865162581638920
733672703052944719249957072560012841
86284.158
25927113867573788920051172880385678542774477856688219765
4927828891371830871079089316092839503
87286.158
25927171909333152279700953389138309086059060712406795418
579241176818623295381964211234729274404129
92305.142
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-09-04T17:36:37Oliver KruseOllaptop30000000300000000024-
skipped known factor: 518543
skipped known factor: 2074169
--1.901--12.602%
2022-05-01T08:18:36Oliver KruseThreadripper-PC3000000010035812696910-
skipped known factor: 518543
skipped known factor: 2074169
skipped known factor: 7436234328939361691157977
--5,418--23.453%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??20.98474.66474e-160.0049.69594e-16


ECM factoring results:

Old Calculation Method

Total ECM effort:10.784 GHz-days
Estimated T-Level:26.836
DigitsB1CurvesCompleteFacMiss
2011000516 / 1005.1600.559%
2550000516 / 2801.84315.784%
30250000235 / 6400.36769.248%

New Calculation Method

Total ECM effort:10.784 GHz-days
Estimated T-Level:26.836
DigitsB1CompleteFacMiss
201100028.6480.000%
25500003.6792.524%
302500000.35969.811%
3510000000.02897.235%
4030000000.00299.819%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.048
250000250000001686.123
25000025000000381.385
2500002500000030.109
25000038500000210.903
2500003850000050.215


Lucas-Lehmer results:
No L-L results for M259271


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:19:48Oliver KruseDoppelherz
518543
2074169
7436234328939361691157977
D5088EDEAD8D8DD3no
2017-09-22T10:03:10Oliver KruseManual testing
518543
2074169
7436234328939361691157977
D5088EDEAD8D8DD3no
2017-09-28T13:09:36alpertronManual testing
518543
2074169
7436234328939361691157977
D5088EDEAD8D8D__no
2017-12-07T04:56:01ATHxps
518543
2074169
7436234328939361691157977
D5088EDEAD8D8D__no
2020-04-17T20:17:29Oliver KruseAddPrpType5
518543
2074169
7436234328939361691157977
E4ED5E8111F68C__no
2020-05-05T11:36:33Oliver KruseThreadripper-PC
518543
2074169
7436234328939361691157977
162704005316473365983002559
E4ED5E8111F68C68no
2021-04-26T15:11:29mikrNitron
518543
2074169
7436234328939361691157977
162704005316473365983002559
55259256261505421629075583009
E4ED5E8111F68C68no
2021-04-27T16:44:10Chad SteenersonLaura072713
518543
2074169
7436234328939361691157977
162704005316473365983002559
55259256261505421629075583009
E4ED5E8111F68C68no
2022-05-12T18:22:07Jorge CoveiroManual testing
518543
E4ED5E8111F68C68no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-12T18:22:07+00:00