is 2 2171599 - 1
has 653717 decimal digits
takes 0.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LB9F85D175094801Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.447567.6471%25000001250000000.87467.9248%28.322170.2110%2.5639%
PrimeNet2580.017762.0690%100001800000.00182.8562%0.019563.1524%1.0834%
GPU722620.282964.5161%110001600000.00181.5675%0.284765.0724%0.5562%
Difference+6+27.1646+3.1309%+2489000+124840000+0.8728+6.3573%+28.0374+5.1386%+5.1386%

Known prime factors (1 factor, 92.4 bits, 0.00425286% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
217159963333751654633501907190263932892.3551458228513980562293204
22 × 59 × 1736563 × 3558140062453
2020-07-1517365633558140062453616,212,86918,48234,519

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.226%
2010-11-05T01:16:00Jocelyn LaroucheManual testing1500015000---0.001--0.198%
2010-11-07T17:04:00Jocelyn LaroucheManual testing3000030000---0.003--0.354%
2011-01-15T16:06:00Jocelyn LaroucheManual testing5000050000---0.005--0.514%
2011-01-16T02:27:00markrtiny900001620000---0.017--2.203%
2014-06-11T02:11:00Jocelyn LaroucheManual testing119556119556---0.011--0.889%
2014-10-05T22:22:00Jocelyn LaroucheManual testing149112149112---0.014--1.007%
2016-01-25T22:41:24Jocelyn LaroucheManual testing48925448925406---0.070--3.709%
2018-01-15T20:42:18mikrMSI250000012500000012---0.875--7.925%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-02-07T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.053--
2009-01-04T12:24:00Sturle Sundebakeng.ifi260261--0.071--
2009-01-06T09:48:00Sturle Sundecelair.ifi261262--0.141--
2013-09-09T08:39:00ramgeisManual testing262263--0.452--
2015-03-25T10:09:00VictordeHollanderManual testing263264--0.904--
2015-03-25T10:09:00VictordeHollanderManual testing264265--1.721--
2016-01-02T13:50:56ramgeisManual testing265266--3.441--
2016-11-14T03:44:01Gordon SpenceManual testing266267--6.882--
2019-05-06T12:23:33TJAOIManual testing267268--13.76--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.034 GHz-days
Estimated T-Level:4.700
DigitsB1CurvesCompleteFacMiss
201100094 / 1000.94038.878%
255000094 / 2800.33671.440%

New Calculation Method

Total ECM effort:8.034 GHz-days
Estimated T-Level:4.700
DigitsB1CompleteFacMiss
20110003.0324.821%
25500000.27476.029%
302500000.01798.327%


ECM Summary

B1B2factorcurvesGHz-days
500005000000937.948
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-21T00:00:00ANONYMOUSv4_computersB9F85D175094801B0.143
2018-04-12T04:43:27kkmrkkblmbrbkoldB9F85D175094801B0.143


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-16T13:48:57mrh.orgw
6333375165463350190719026393
8D0CBACF7CE641DEno
2020-07-17T12:29:26marssystemssystem03
6333375165463350190719026393
8D0CBACF7CE641DEno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 489254, B2 = 4892540 (P-1 stage 2)
B1 = 489254 (P-1 stage 1)
B1 = 90000, B2 = 1620000 (P-1 stage 2)
B1 = 149112 (P-1 stage 1)
B1 = 119556 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
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105
106
107
102
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109
1010
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1012
1013
TF factor-bounds graph:
268
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266
265
264
263
262
261
260
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2100
Last modified: 2020-07-17T12:29:26+00:00