is 2 30211 - 1
has 9095 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
Actual267983.546377.6119%20000000050000000000.368612.3302%983.914980.3724%2.7605%
PrimeNet2400.000062.5000%500100000.00004.1108%0.000064.0416%1.5416%
GPU722440.000165.9091%500100000.00001.7622%0.000166.5098%0.6008%
Difference+23+983.5462+11.7028%+199999500+4999990000+0.3686+10.5680%+983.9148+13.8626%+13.8626%

Known prime factors (5 factors, 216.8 bits, 0.71773746% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
30211302111618.2055
5
-151.157e-129.728e-101.626e-9
302115619247722.42293
3 × 31
2008-08-263311.887e-113.615e-94.877e-9
3021137522063825.161621
33 × 23
2008-08-2627271.678e-102.157e-84.389e-8
30211319837795736254791754.828529339968449
121843 × 4344443
2008-08-2912184343444430.13870.00030.0004
30211922524695426602273015562653612996.2201526802647093115542377880
23 × 5 × 26267 × 1453156667199447541
2017-09-182626714531566671994475411.058e+1263,235,323118,105,974

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3021116976363304171340.627
30211113358279749931443.366
302112108457399465611547.583
30211636988173409954902712065.788
3021196626516307675670861692273.033
302111797247574177562519943132477.250
3021112000973921396883614431772579.989
30211542968261882357590462538947432995.455
302113625626232367133905639596466473098.194
30211674364367048876740597448802771931102.411
302112787048582600262393030046488447707135114.424
3021151838941272018485428358813946100316736118.642
30211203732893293503200978635855254221480937120.616
30211346150297408527823640331418692015974337121.381
3021115661114386630776651246909640070312778553742136.846
30211104575812500387749327804165232463638011747343139.586
302111945104020261977747407461403490854687537352144143.803
30211295058265097504281244412576747566938215473291946151.048
30211587637320665366359247015572070025600506596980283149162.007
3021189140347526872115911030727973784195271214851689200
9
51169.252
3021116580052709743556398698216386510352748664836490891
993
53173.470
3021111071194811659256783622567102714541752438096433489
1897
54176.209
3021150090163041933355671671168507450291792518824170998
70897223
58191.674
3021133447297357451897261569973699681929233708257516178
525894567
59194.414
3021162211778231831843703600759324227380598762516069594
8287541559
60198.631
3021118794862533396950133138529000201658180072742492301
3633097467931049
66216.836
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-06T09:36:59kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 302111
skipped known factor: 5619247
skipped known factor: 37522063
skipped known factor: 31983779573625479
--0.369--12.330%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??25.16181.98883e-113.89433e-54.65421e-11
2008-08-26T19:59:00ANONYMOUSManual testing??22.42273.72306e-133.89436e-58.71264e-13
2008-08-29T02:24:00ANONYMOUSManual testing??54.828170.0593.40952e-50.122


ECM factoring results:

Old Calculation Method

Total ECM effort:22.987 GHz-days
Estimated T-Level:31.949
DigitsB1CurvesCompleteFacMiss
20110001485 / 10014.8500.000%
25500001485 / 2805.3040.493%
302500001200 / 6401.87515.313%
351000000616 / 15800.39067.706%
403000000605 / 47000.12987.921%

New Calculation Method

Total ECM effort:22.987 GHz-days
Estimated T-Level:31.949
DigitsB1CompleteFacMiss
2011000180.4320.000%
255000036.9910.000%
302500006.4610.156%
3510000000.94738.788%
4030000000.11888.875%
45110000000.01398.731%
50440000000.00199.878%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002850.164
250000250000005841.678
1000000100000000110.126
30000003000000001756.034
300000030000000032511.21
3000000339000000702.516
3000000340272831140.504
300000034027283270.252
300000034540701470.253
300000034800000070.254


Lucas-Lehmer results:
No L-L results for M30211


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:40:24Oliver KruseOllaptopCAA55456B73621__?
2017-09-21T21:38:47Oliver KruseManual testingCAA55456B73621__?
2017-10-02T10:34:10kkmrkkblmbrbkManual testing
302111
5619247
37522063
31983779573625479
92252469542660227301556265361
CAA55456B73621__no
2017-12-07T03:12:31ATHxps
302111
5619247
37522063
31983779573625479
92252469542660227301556265361
CAA55456B73621__no
2020-04-17T13:47:35Oliver KruseManual testing
302111
5619247
37522063
31983779573625479
92252469542660227301556265361
9A6DB8ADA7F7D1__no


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
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102
103
104
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109
1010
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1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
Last modified: 2022-05-15T05:22:09+00:00