is 2 2138189 - 1
has 643660 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LFA07AC9587EAA8FDdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26827.876367.6471 %25000001250000000.87467.9126 %28.751070.2070 %
Target2620.287364.5161 %100007500000.00481.4873 %0.292165.0439 %
Difference+6+27.5890+3.1309 %+2490000+124250000+0.8698+6.4253%+28.4589+5.1631 %

Known prime factors (1 factor, 77.2 bits, 0.00360859% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
21381891686514117806578245093132477.15839437910255047104
26 × 1759 × 350322539929
2020-08-01175935032253992914,3151,819.73,398.6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.774%
2010-10-26Oscar Östlin7501175011--0.0071.583%
2010-11-27Oscar Östlin8000015000006--0.0154.277%
2013-12-03c10ck3rManual testing5000001000000012--0.0977.685%
2017-10-17mikrMSI250000012500000012--0.87512.579%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-04Sturle Sundefigaro.ifi2602610.072
2012-04-16Sebastian HornbostelManual testing2612620.144
2013-02-21dbaughManual testing2622630.459
2015-03-18VictordeHollanderManual testing2632640.918
2015-03-18VictordeHollanderManual testing2642651.747
2015-12-27ramgeisManual testing2652663.495
2016-10-29Gordon SpenceManual testing2662676.990
2019-04-22TJAOIManual testing26726813.98


ECM factoring results:
Total ECM effort:8.904 GHz-days
Estimated T-Level:21.886
DigitsB1CompleteFacMiss
20110004.0771.696%
25500000.37768.576%
302500000.02497.649%
3510000000.00199.889%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001058.819
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computersFA07AC9587EAA8FD0.141
2018-04-07kkmrkkblmbrbkoldFA07AC9587EAA8FD0.141


PRP results:
dateuseridcompidcofactorsres64
2020-08-01M Millercruncher
168651411780657824509313
80283B13994FB8BA
2020-08-02marssystemsSystem01
168651411780657824509313
80283B13994FB8BA


CERT results:
No CERT results for M2138189


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
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)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.89 ~= 56-bit
250
260
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280
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Last modified: 2024-02-29T14:28:04+00:00