is 2 588043 - 1
has 177019 decimal digits
takes 0.009 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L42BC63A054FEB734double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26750.530270.1493 %100000004000000000.68859.8721 %51.218673.0962 %
Target2440.000054.5455 %1000017000000.002215.2535 %0.002361.4788 %
Difference+23+50.5302+15.6038 %+9990000+398300000+0.6862-5.3813 %+51.2164+11.6173 %

Known prime factors (1 factor, 127.1 bits, 0.02161295% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58804318152771670941636960549820684728215684139127.093154349015896300414770261874426940
22 × 5 × 7 × 787 × 1400880521839720591489034983
2021-02-0678714008805218397205914890349832.514e+111.682e+183.141e+18

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00724.201%
2002-05-05ANONYMOUSv4_computers163841638400--0.00219.754%
2002-07-06ANONYMOUSv4_computers32768327680012--0.00522.452%
2002-09-22ANONYMOUSv4_computers65536655360012--0.00925.102%
2003-06-01ANONYMOUSv4_computers1310721310720012--0.01827.698%
2011-07-02JossManual testing396794396794--0.00916.973%
2011-08-24JossManual testing661323661323--0.01518.548%
2012-03-05JossManual testing826654826654--0.01819.235%
2012-07-21JossManual testing11760861176086--0.02620.316%
2013-10-16David Campeaui5-2500k12400003968000012--0.07132.332%
2015-10-22Bruno Victal5820K.ECM16000006600000012--0.10833.948%
2015-11-13Sid & AndyBullseye588043017641290012--0.32137.158%
2019-05-06alexlaptop1000000040000000012--0.66139.698%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.004
2022-03-07LordJuliusManual testing254255
2001-04-08ANONYMOUSv4_computers212560.016
2002-01-08ANONYMOUSv4_computers212570.033
2003-11-16ANONYMOUSv4_computers212580.065
2016-02-23Mark RoseManual testing2582610.457
2015-07-12NRManual testing2612620.522
2015-09-06Gordon SpenceManual testing2622645.008
2017-08-11ConductorManual testing2642656.354
2018-06-04chuenkitManual testing26526612.71
2020-02-15YxinityManual testing26626725.42


ECM factoring results:
Total ECM effort:16.618 GHz-days
Estimated T-Level:26.436
DigitsB1CompleteFacMiss
201100023.8870.000%
25500003.0284.842%
302500000.28775.036%
3510000000.02297.829%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002804.506
2500002500000013511.32
2500002500000060.507
2500003500000030.289


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11MadPooManual testing42BC63A054FEB7340.009


PRP results:
dateuseridcompidcofactorsres64
2021-02-06mrhw
181527716709416369605498206847282156841
3570876F390F0ED5


CERT results:
dateuseridcompid
2021-02-07NumberwangStrand


P-1 factor-bounds graph:
B1 = 10000000, B2 = 400000000 (P-1 stage 2)
B1 = 5880430, B2 = 176412900 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 5880430 (P-1 stage 1)
B1 = 1600000, B2 = 66000000 (P-1 stage 2)
B1 = 1240000, B2 = 39680000 (P-1 stage 2)
B1 = 1600000 (P-1 stage 1)
B1 = 1240000 (P-1 stage 1)
B1 = 1176086 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 826654 (P-1 stage 1)
B1 = 661323 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 396794 (P-1 stage 1)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 16384 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.44 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00