is 2 1673437 - 1
has 503755 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5E5ED5B43FDAEF6Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26835.618269.1176 %250000005579866792502,076.172720.7269 %2,111.790975.5186 %
Target2610.183665.5738 %70004000000.00191.2073 %0.185565.9894 %
Difference+7+35.4347+3.5439 %+24993000+557986279250+2,076.1707+19.5196%+2,111.6054+9.5292 %

Known prime factors:
No known factors for M1673437

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2012-02-29AxonManual testing100000100000--0.0082.006%
2012-02-29AxonManual testing200000200000--0.0162.735%
2012-02-29AxonManual testing300000300000--0.0243.218%
2012-02-29AxonManual testing400000400000--0.0313.586%
2012-02-29AxonManual testing500000500000--0.0393.885%
2012-02-29AxonManual testing600000600000--0.0474.139%
2012-02-29AxonManual testing700000700000--0.0554.359%
2012-02-29AxonManual testing800000800000--0.0634.555%
2012-02-29AxonManual testing900000900000--0.0714.731%
2012-02-29AxonManual testing10000001000000--0.0794.891%
2012-03-01AxonManual testing1000000800000012--0.1098.220%
2012-03-01AxonManual testing10000002000000012--0.1609.669%
2018-01-21JossManual testing16734372000000012--0.2109.936%
2018-02-05JossManual testing16734374000000012--0.29611.089%
2018-02-20JossManual testing16734378000000012--0.46712.228%
2018-06-12JossManual testing167343716734370012--0.84213.426%
2018-10-16JossManual testing167343718407807012--0.91313.580%
2020-06-25mikrMSI1000000040000000012--2.13216.113%
2023-01-12JossManual testing16734371711566780--7.46017.093%
2023-01-24Naegi Makoto5950X25000000557986679250--2,52029.361%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-14Ethan O'Connorv4_computers212570.011
2003-04-03ANONYMOUSv4_computers212580.023
2016-02-23Mark RoseManual testing2582600.069
2010-04-27Architects Cubedm1_f22602610.092
2010-08-31GrunwalderGIMPManual testing212630.954
2016-02-23Mark RoseManual testing2612630.770
2015-05-12omylistManual testing2632641.173
2015-05-13monstManual testing2642652.233
2015-10-12ramgeisManual testing2652664.466
2017-09-29TJAOIManual testing2662678.931
2019-06-24TJAOIManual testing26726817.86


ECM factoring results:
Total ECM effort:37.156 GHz-days
Estimated T-Level:25.698
DigitsB1CompleteFacMiss
201100015.1690.000%
25500001.68418.564%
302500000.14086.967%
3510000000.00999.062%


ECM Summary

B1B2factorcurvesGHz-days
50000500000028018.57
250000400000004418.59


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06Ethan O'Connorv4_computers5E5ED5B43FDAEF6E0.079
2015-06-19MadPooManual testing5E5ED5B43FDAEF6E0.091


PRP results:
No PRP results for M1673437


CERT results:
No CERT results for M1673437


P-1 factor-bounds graph:
B1 = 25000000, B2 = 557986679250 (P-1 stage 2)
B1 = 1673437, B2 = 1711566780 (P-1 stage 2)
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 1673437, B2 = 184078070 (P-1 stage 2)
B1 = 1673437, B2 = 167343700 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1673437, B2 = 80000000 (P-1 stage 2)
B1 = 1673437, B2 = 40000000 (P-1 stage 2)
B1 = 1673437, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1673437 (P-1 stage 1)
B1 = 1000000, B2 = 8000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 900000 (P-1 stage 1)
B1 = 800000 (P-1 stage 1)
B1 = 700000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
261
260
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00