is 2 1112171 - 1
has 334797 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L36E98E36FAFCDF31double-checked
PRP99800B676051B19FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271429.860470.4225 %1500000054022094280127.100813.8404 %556.961274.5162 %
Target2600.138165.0000 %45001100000.00040.6856 %0.138565.2399 %
Difference+11+429.7223+5.4225 %+14995500+54021984280+127.1003+13.1548%+556.8226+9.2762 %

Known prime factors:
No known factors for M1112171

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-10Jossv4_computers15000168750--0.0012.054%
2012-10-23kurlysmile5000001000000012--0.0448.574%
2015-03-05mikrMSI500000020000000012--0.69515.009%
2022-10-19Wentao HuangBluekid1110001910735190--4.78913.794%
2022-11-09JossManual testing111217122468355910--67.8321.040%
2023-04-26mikrMSI1500000054022094280--135.925.750%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-01ANONYMOUSv4_computers212570.017
2003-04-27ANONYMOUSv4_computers212580.035
2016-02-23Mark RoseManual testing2582600.104
2009-01-14Architects Cubedm1_tt2602610.138
2011-05-09XyzzyManual testing2612620.276
2012-10-11dbaughManual testing2622630.883
2014-12-22Matthias WurtingerManual testing2632641.765
2014-12-30lycornManual testing2642653.360
2015-06-05omylistManual testing2652666.719
2016-01-10ramgeisManual testing266271416.6


ECM factoring results:
Total ECM effort:17.740 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.98
25000025000000447.756


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-28ANONYMOUSv4_computers36E98E36FAFCDF310.033
2016-06-01MadPooManual testing36E98E36FAFCDF310.033


PRP results:
dateuseridcompidcofactorsres64
2020-11-05Ethan O'ConnorHighland202099800B676051B19F


CERT results:
dateuseridcompid
2020-11-05curtiscwcm220a-08l


P-1 factor-bounds graph:
B1 = 15000000, B2 = 54022094280 (P-1 stage 2)
B1 = 1112171, B2 = 22468355910 (P-1 stage 2)
B1 = 111000, B2 = 1910735190 (P-1 stage 2)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 1112171 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 111000 (P-1 stage 1)
B1 = 15000, B2 = 168750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-13T02:15:48+00:00