is 2 2134471 - 1
has 642540 decimal digits
takes 0.140 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFFE8FC9AE0FBF3D8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual270111.948468.5714 %5000000989699403051.858212.1940 %163.806672.4038 %
Target2620.287864.5161 %100007500000.00481.4868 %0.292665.0437 %
Difference+8+111.6606+4.0553 %+4990000+9896244030+51.8534+10.7073%+163.5140+7.3602 %

Known prime factors:
No known factors for M2134471

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.773%
2010-10-25Oscar Östlin7501175011--0.0071.583%
2010-11-25Oscar Östlin8000015000006--0.0154.276%
2013-11-13c10ck3rManual testing5000001000000012--0.0977.684%
2017-10-04mikrMSI250000012500000012--0.87512.577%
2022-12-19Architects Cubedgpu72ng50000009896994030--54.7120.213%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29Stephen Woodv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-04Sturle Sundedittersdorf.ifi2602610.072
2012-04-15Sebastian HornbostelManual testing2612620.144
2013-02-21dbaughManual testing2622630.460
2015-03-18VictordeHollanderManual testing2632652.670
2015-12-27ramgeisManual testing2652663.501
2016-11-04ConductorManual testing2662677.002
2019-04-22TJAOIManual testing26726814.00
2021-07-29TJAOIManual testing26826928.01
2023-01-17Architects CubedGPU72_TF26927056.02


ECM factoring results:
Total ECM effort:17.607 GHz-days
Estimated T-Level:23.573
DigitsB1CompleteFacMiss
20110007.7430.043%
25500000.71548.938%
302500000.04595.590%
3510000000.00299.789%


ECM Summary

B1B2factorcurvesGHz-days
40000600000030.247
500005000070.355
50000500000015913.43
50000515000070.604
50000670000070.680
500006750000212.047
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14Stephen Woodv4_computersFFE8FC9AE0FBF3D80.140
2018-04-06kkmrkkblmbrbkoldFFE8FC9AE0FBF3D80.140


PRP results:
No PRP results for M2134471


CERT results:
No CERT results for M2134471


P-1 factor-bounds graph:
B1 = 5000000, B2 = 9896994030 (P-1 stage 2)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 80000, B2 = 1500000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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262
261
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258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=23.57 ~= 62-bit
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Last modified: 2024-03-13T02:15:48+00:00