is 2 3267571 - 1
has 983637 decimal digits
takes 0.343 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-
PRP213199A80818D0F2verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26818.241367.6471%40000001500000001.82068.7782%20.061970.4871%2.8400%
PrimeNet2600.047063.3333%140002600000.00422.7735%0.051264.3503%1.0170%
GPU722641.089365.6250%170002800000.00481.6861%1.094166.2046%0.5796%
Difference+4+17.1521+2.0221%+3983000+149720000+1.8158+7.0922%+18.9678+4.2825%+4.2825%

Known prime factors (1 factor, 74.2 bits, 0.00227113% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3267571218611637382030076034572374.2113345170424483968
27 × 2617 × 9986298793
2021-01-17261799862987931,659.582.859154.76

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-08T05:49:00Carsten Kossendeydurandal15000191250---0.004--0.786%
2011-09-17T09:03:00harleeP4_2600600001050000---0.017--1.930%
2014-06-21T17:25:00Jocelyn LaroucheManual testing7964379643---0.012--0.754%
2014-10-10T20:28:00Jocelyn LaroucheManual testing9928699286---0.015--0.861%
2016-01-16T00:42:29Jocelyn LaroucheManual testing37800037800006---0.086--3.579%
2020-11-15T07:22:18mikrMSI400000015000000012---1.821--8.778%
2022-04-05T14:54:05Jocelyn LaroucheManual testing1000000134316000---1.258--7.647%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-05-20T00:00:00ANONYMOUSv4_computers21260--0.047--
2009-04-02T04:53:00S485122USB-A260261--0.047--
2011-09-20T13:56:00markroldgamer261262--0.094--
2013-01-03T08:49:00dbaughManual testing262263--0.300--
2015-02-07T18:05:00VictordeHollanderManual testing263264--0.601--
2015-02-07T18:05:00VictordeHollanderManual testing264265--1.143--
2015-06-28T13:57:00ThaManual testing265266--2.287--
2017-04-04T13:00:36Gordon SpenceManual testing266267--4.574--
2018-12-17T13:21:54TJAOIManual testing267268--9.148--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.067 GHz-days
Estimated T-Level:1.150
DigitsB1CurvesCompleteFacMiss
201100023 / 1000.23079.361%
255000023 / 2800.08292.100%

New Calculation Method

Total ECM effort:4.067 GHz-days
Estimated T-Level:1.150
DigitsB1CompleteFacMiss
20110000.98037.542%
25500000.09690.809%
302500000.00799.350%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.183
50000680000030.507
800001128000041.102
800001128000010.276


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-07T00:00:00ANONYMOUSv4_computers1E3FD5F8F07BCA__0.343


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-18T01:51:05Chang Chia-Tchehomura
21861163738203007603457
213199A80818D0F2no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 1000000, B2 = 134316000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 378000, B2 = 3780000 (P-1 stage 2)
B1 = 378000 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 99286 (P-1 stage 1)
B1 = 79643 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
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104
105
106
107
102
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104
105
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109
1010
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-04-05T14:54:05+00:00