is 2 1837481 - 1
has 553137 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2CF42D793B3D2209double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26832.438469.1176 %2500000069219381000298.516418.0128 %330.954774.6804 %
Target2610.167265.5738 %90007000000.00371.5959 %0.170866.1232 %
Difference+7+32.2712+3.5439 %+24991000+69218681000+298.5127+16.4169%+330.7839+8.5572 %

Known prime factors:
No known factors for M1837481

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother10000016750006--0.0154.948%
2014-05-19JossManual testing134931134931--0.0112.341%
2014-09-22JossManual testing169862169862--0.0132.590%
2015-07-02mikrMSI27800009176000012--0.60012.885%
2018-08-13JossManual testing183748118374810012--0.92413.761%
2023-01-09JossManual testing18374811643601960--8.70317.257%
2023-06-08JossJoss18374818775937170--45.7519.826%
2023-11-09kurlybeans2500000069219381000--298.526.075%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-10-27masserManual testing20000044000007413--0.042
2022-10-29masserManual testing4000001080000065--0.092
2022-10-30masserManual testing8000002560000027--0.200


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-16ANONYMOUSv4_computers212580.021
2010-04-16Architects Cubeda3_lm2602610.084
2011-01-21GrunwalderGIMPManual testing212630.868
2016-02-23Mark RoseManual testing2582630.764
2015-04-26snme2pm1Manual testing2632653.102
2015-09-05ramgeisManual testing2652664.067
2018-01-22TJAOIManual testing2662678.134
2019-06-17TJAOIManual testing26726816.27


ECM factoring results:
Total ECM effort:76.837 GHz-days
Estimated T-Level:25.842
DigitsB1CompleteFacMiss
201100015.2560.000%
25500001.86115.547%
302500000.16884.503%
3510000000.01398.758%


ECM Summary

B1B2factorcurvesGHz-days
50000500000019513.37
500006600000513.973
74000740000010.102
1999001999000010.276
25000018016845022.907
2500002054016514256.21


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21ANONYMOUSv4_computers2CF42D793B3D22090.100
2015-07-16MadPooManual testing2CF42D793B3D22090.100


PRP results:
No PRP results for M1837481


CERT results:
No CERT results for M1837481


P-1 factor-bounds graph:
B1 = 25000000, B2 = 69219381000 (P-1 stage 2)
B1 = 1837481, B2 = 8775937170 (P-1 stage 2)
B1 = 1837481, B2 = 1643601960 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1837481, B2 = 183748100 (P-1 stage 2)
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 1837481 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169862 (P-1 stage 1)
B1 = 134931 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
268
267
266
265
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.84 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00