is 2 21011 - 1
has 6325 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
Actual2671,414.207777.6119%500000000100000000000.472213.3827%1,414.679880.6081%2.9961%
PrimeNet2400.000062.5000%500100000.00003.7441%0.000063.9040%1.4040%
GPU722440.000165.9091%500100000.00001.5825%0.000166.4486%0.5395%
Difference+23+1,414.2076+11.7028%+499999500+9999990000+0.4722+11.8002%+1,414.6797+14.1595%+14.1595%

Known prime factors (4 factors, 187.6 bits, 0.89273508% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2101142023515.3591
1
-112.078e-134.640e-109.443e-10
21011667210608311135.9571587765
3 × 5 × 151 × 701
2008-08-261517013.643e-78.397e-81.426e-7
210112749988596091238.00066544164
22 × 3 × 112 × 4507
2008-08-2612145072.589e-61.670e-72.126e-7
210113783452203256846945581070067773098.2569003503410729729535912308
22 × 31 × 72608898473626851096067
2014-10-0931726088984736268510960673.788e+121.836e+123.428e+12

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2101128038191393011131651.316
21011115562770773490071753.360
21011183482156404277178750792373.958
210117710470658576939882644448172789.317
210111589920119374624791941533074578987135113.615
210112524359446046810613733711226337554625168741134.213
2101110404450412807913857558491504946743457019342136.256
21011106081157001225122420931746864383058013464280146149.572
21011437226219697426964036180488512377000294322043946151.615
2101169419596890607988200836798084214840761113594924103
83
52172.214
2101129172197201340194881637647658929602533042765994956
1524809
57187.573
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-19T00:49:55kkmrkkblmbrbkManual testing5000000001000000000012-
skipped known factor: 42023
skipped known factor: 66721060831
skipped known factor: 274998859609
--0.472--13.383%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-07-04T00:00:00GrunwalderGIMPv4_computers??51.316160.0101.39192e-50.022
2008-08-26T19:59:00ANONYMOUSManual testing??38.0006128.46521e-71.74049e-52.19135e-6
2008-08-26T19:59:00ANONYMOUSManual testing??35.957111.46415e-72.04548e-54.45436e-7


ECM factoring results:

Old Calculation Method

Total ECM effort:18.303 GHz-days
Estimated T-Level:35.436
DigitsB1CurvesCompleteFacMiss
20110002326 / 10023.2600.000%
25500002326 / 2808.3070.024%
302500002296 / 6403.5882.759%
3510000001821 / 15661.16331.248%
403000000400 / 45880.08791.650%

New Calculation Method

Total ECM effort:18.303 GHz-days
Estimated T-Level:35.436
DigitsB1CompleteFacMiss
2011000361.1690.000%
255000075.2160.000%
3025000012.2810.000%
3510000001.64619.280%
4030000000.18583.104%
45110000000.01898.207%
50440000000.00299.844%


ECM Summary

B1B2factorcurvesGHz-days
500005000000300.010
250000250000001790.299
250000250000002960.494
10000001000000001,4219.488
30000003000000004008.012


Lucas-Lehmer results:
No L-L results for M21011


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:26:17Oliver KruseOliver-PC
42023
66721060831
274998859609
378345220325684694558107006777
255AB004CCAEE0DFno
2017-09-21T20:26:58Oliver KruseManual testing
42023
66721060831
274998859609
378345220325684694558107006777
255AB004CCAEE0DFno
2017-10-02T10:24:39kkmrkkblmbrbkManual testing
42023
66721060831
274998859609
378345220325684694558107006777
255AB004CCAEE0__no
2017-12-07T02:54:58ATHManual testing
42023
66721060831
274998859609
378345220325684694558107006777
255AB004CCAEE0__no
2020-04-17T13:49:02Oliver KruseManual testing
42023
66721060831
274998859609
378345220325684694558107006777
9233298195DF1E__no
2022-05-12T18:18:40Jorge CoveiroManual testing
42023
9233298195DF1E88no


P-1 factor-bounds graph:
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (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
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-12T18:18:40+00:00