is 2 8411089 - 1
has 2531991 decimal digits
takes 2.196 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L66E6B4097E420A9Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273227.419367.1233 %5000000258040965055.01809.6383 %282.437470.2920 %
Target2687.086564.7059 %5000055000000.13142.1885 %7.217865.4783 %
Difference+5+220.3329+2.4174 %+4950000+2574909650+54.8867+7.4498%+275.2196+4.8137 %

Known prime factors (1 factor, 104.1 bits, 0.00123785% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
84110892198589267171108039433186486988932104.1161306958746466187695453696
29 × 772703 × 3856949 × 856515889
2022-09-1638569498565158892.170e+1019.04932.999

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-07-27ANONYMOUSv4_computers900001102500--0.0552.466%
2018-02-04Squeeky_Squirreli5-5250U_16004850001455000012--0.4745.477%
2022-09-16yoyorocks1Manual testing50000002580409650232104.11661.4613.649%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-20ANONYMOUSv4_computers212610.018
1998-10-25ANONYMOUSv4_computers212630.117
1999-09-30ANONYMOUSv4_computers212640.233
2014-03-18lycornManual testing2642650.444
2014-12-03David CampeauManual testing2642650.444
2015-05-25VictordeHollanderManual testing2652660.888
2016-01-06snme2pm1Manual testing2662671.777
2018-02-26monstManual testing2672683.554
2020-01-24TJAOIManual testing2682697.108
2021-08-19SRBaseManual testing26927014.22
2021-08-26SRBaseManual testing27027128.43
2021-10-05SRBaseManual testing27127256.86
2021-12-06ANONYMOUSManual testing272273113.7


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-02-09ANONYMOUSv4_computers66E6B4097E420A9E2.196
2002-08-17ANONYMOUSv4_computers66E6B4097E420A9E2.196


PRP results:
dateuseridcompidcofactorsres64
2022-09-23Perigbreagan
21985892671711080394331864869889
D7EB5B017E23E14A


CERT results:
dateuseridcompid
2022-09-23WeakForceBosonJOHN9456789tommy


P-1 factor-bounds graph:
B1 = 5000000, B2 = 2580409650 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 485000, B2 = 14550000 (P-1 stage 2)
B1 = 485000 (P-1 stage 1)
B1 = 90000, B2 = 1102500 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00