is 2 3388171 - 1
has 1019942 decimal digits
takes 0.356 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-
PRP2BD1CB69EC615872verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26817.592167.6471%10000001199121001.13897.5525%18.731070.0905%2.4434%
PrimeNet2600.045363.3333%140002800000.00432.8454%0.049764.3767%1.0433%
GPU722641.050565.6250%180003200000.00521.7909%1.055866.2406%0.6156%
Difference+4+16.5415+2.0221%+982000+119592100+1.1337+5.7616%+17.6752+3.8499%+3.8499%

Known prime factors (1 factor, 90.7 bits, 0.00267651% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
338817119898359216853026358663152812890.685293644553608023714840
23 × 3 × 5 × 67 × 11239 × 1077221 × 3016709
2021-06-1110772213016709145,127,8130.18010.3339

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-10T06:13:00Carsten Kossendeydurandal15000206250---0.004--0.811%
2011-10-22T09:03:00harleeP4_260060000945000---0.016--1.889%
2014-07-04T02:22:00Jocelyn LaroucheManual testing7894478944---0.012--0.755%
2014-10-13T22:29:00Jocelyn LaroucheManual testing9788897888---0.015--0.859%
2015-09-22T18:53:00Squeeky_SquirrelP4_26001550004030000---0.056--3.218%
2017-02-04T18:42:45Jocelyn Larouchelow 4M193261193261---0.029--1.248%
2017-04-01T08:57:14Jocelyn Larouchelow 4M31000031000006---0.070--3.353%
2021-06-11T06:52:15mikrMSI400000040000002890.6850.6090.7121.2184.101%
2022-01-21T16:42:20Jocelyn LaroucheManual testing1000000119912100---1.139--7.552%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:27Mark RoseManual testing21260--0.045--
2009-03-25T20:46:00S485122USB-Z260261--0.045--
2011-08-13T14:33:00Grant McCrackenthumper261262--0.091--
2012-11-15T00:22:00GrunwalderGIMPManual testing21263--0.471--
2016-02-23T16:29:27Mark RoseManual testing262263--0.290--
2015-02-15T12:50:00VictordeHollanderManual testing263264--0.579--
2015-02-15T12:50:00VictordeHollanderManual testing264265--1.103--
2015-04-03T10:50:00Gordon SpenceManual testing265266--2.206--
2017-03-10T14:13:05Gordon SpenceManual testing266267--4.411--
2022-01-21T16:42:22Jocelyn LaroucheManual testing267268--8.822--
2018-09-24T14:19:07TJAOIManual testing267268--8.822--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.248 GHz-days
Estimated T-Level:1.450
DigitsB1CurvesCompleteFacMiss
201100029 / 1000.29074.717%
255000029 / 2800.10490.144%

New Calculation Method

Total ECM effort:4.248 GHz-days
Estimated T-Level:1.450
DigitsB1CompleteFacMiss
20110000.93539.240%
25500000.08591.893%
302500000.00599.481%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.248


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-31T00:00:00ANONYMOUSv4_computers10EEAFC5466246__0.356


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-12T11:03:30kutensrigel
1989835921685302635866315281
2BD1CB69EC615872no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 310000, B2 = 3100000 (P-1 stage 2)
B1 = 155000, B2 = 4030000 (P-1 stage 2)
B1 = 310000 (P-1 stage 1)
B1 = 193261 (P-1 stage 1)
B1 = 155000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 97888 (P-1 stage 1)
B1 = 78944 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-01-21T16:42:22+00:00