is 2 8189021 - 1
has 2465141 decimal digits
takes 2.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3347E177DE84BC9Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273233.586468.4932 %150000080057835017.05117.3499 %250.637670.8089 %
Target2673.628565.6716 %5500065000000.15382.6259 %3.782366.5731 %
Difference+6+229.9579+2.8215 %+1445000+794078350+16.8974+4.7240%+246.8553+4.2358 %

Known prime factors:
No known factors for M8189021

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-12-09Team Prime Ribv4_computers45000573750--0.0282.045%
2012-11-19NesowaEPC10000020000006--0.0773.249%
2022-01-30FlaukrotistColab_HLM21500000800578350--18.0511.783%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-24ANONYMOUSv4_computers212610.019
1998-08-30ANONYMOUSv4_computers212620.038
1999-04-02ANONYMOUSv4_computers212630.120
2013-08-05lycornsnail2632640.240
2013-09-02David CampeauManual testing2642650.456
2015-05-28snme2pm1Manual testing2652660.913
2015-12-07snme2pm1Manual testing2662671.825
2018-07-09chuenkitManual testing2672683.650
2020-01-10TJAOIManual testing2682697.300
2021-08-20SRBaseManual testing26927014.60
2021-08-29SRBaseManual testing27027129.20
2021-10-10SRBaseManual testing27127258.40
2023-11-28FlaukrotistManual testing272273116.8


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-01ANONYMOUSv4_computers3347E177DE84BC9B2.138
2003-05-19Architects Cubedv4_computers3347E177DE84BC9B2.138


PRP results:
No PRP results for M8189021


CERT results:
No CERT results for M8189021


P-1 factor-bounds graph:
B1 = 1500000, B2 = 800578350 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 573750 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-03-13T02:15:48+00:00