is 2 3446789 - 1
has 1037587 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP2B556A2F99E76E__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26934.637168.1159%500000100000000.15504.1618%34.792169.4429%1.3270%
PrimeNet2600.044663.3333%150002800000.00452.9009%0.049064.3970%1.0637%
GPU722641.032765.6250%190003400000.00561.8544%1.038266.2625%0.6375%
Difference+5+33.6045+2.4909%+481000+9660000+0.1494+2.3074%+33.7539+3.1804%+3.1804%

Known prime factors (1 factor, 70.3 bits, 0.00204080% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
344678914965043202521729699932270.342217086732064564
22 × 6577 × 8251738333
2021-05-1565778251738333127.9568.467127.88

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-15T21:07:00Carsten Kossendeydurandal15000210000---0.004--0.699%
2011-11-04T10:24:00harleeP4_260060000945000---0.016--1.665%
2014-07-18T01:20:00Jocelyn LaroucheManual testing7862178621---0.012--0.653%
2014-09-19T09:52:00HBendtzHAL900750000010000000---0.155--4.162%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-03-22T09:55:00S485122USB-A260261--0.045--
2011-08-04T20:50:00markrManual testing21262--0.178--
2012-08-18T15:34:00GrunwalderGIMPManual testing21263--0.463--
2016-02-23T16:29:30Mark RoseManual testing262263--0.285--
2015-02-07T18:04:00VictordeHollanderManual testing263264--0.570--
2015-02-07T18:04:00VictordeHollanderManual testing264265--1.084--
2015-04-16T08:55:00Gordon SpenceManual testing265266--2.168--
2017-02-09T04:36:20Gordon SpenceManual testing266267--4.336--
2022-01-19T07:45:01Jocelyn LaroucheManual testing267268--8.672--
2018-07-23T16:23:37TJAOIManual testing267268--8.672--
2021-01-04T04:39:06axnManual testing268269--17.34--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.883 GHz-days
Estimated T-Level:0.950
DigitsB1CurvesCompleteFacMiss
201100019 / 1000.19082.617%
255000019 / 2800.06893.428%

New Calculation Method

Total ECM effort:2.883 GHz-days
Estimated T-Level:0.950
DigitsB1CompleteFacMiss
20110000.74447.540%
25500000.06993.355%
302500000.00499.566%


ECM Summary

B1B2factorcurvesGHz-days
500005000000152.205
50000670000040.678


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-21T00:00:00ANONYMOUSv4_computers126B3FCF69B8C2__0.362


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-16T01:51:53tottenhoff2018pc
1496504320252172969993
2B556A2F99E76E__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78621 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
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105
106
102
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104
105
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109
1010
TF factor-bounds graph:
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268
267
266
265
264
263
262
261
250
260
270
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2100
Last modified: 2022-01-19T07:45:01+00:00