is 2 10400713 - 1
has 3130927 decimal digits
takes 3.398 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBA3940CA649512FEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27291.948966.6667 %15000000769926719101,993.642115.7085 %2,085.591071.9028 %
Target2685.730864.7059 %7000080000000.23782.6631 %5.968665.6458 %
Difference+4+86.2180+1.9608 %+14930000+76984671910+1,993.4043+13.0454%+2,079.6223+6.2570 %

Known prime factors (1 factor, 127.7 bits, 0.00122733% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1040071326723065197584907348359940487576856563939127.65112846746755527677452670764248363
3 × 17 × 41143 × 65447 × 222043 × 1063747 × 396060793
2022-01-1110637473960607931.756e+1010.69719.090

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-18ANONYMOUSv4_computers105000735000--0.0662.341%
2013-06-24NesowaEPC13000025675006--0.1243.317%
2022-01-11LuminescenceMain1500000076992671910239127.6512,35019.691%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-22veggiespamv4_computers212640.189
2013-12-03sasakiManual testing2642650.359
2015-05-02ThaManual testing2652660.718
2015-12-11VictordeHollanderManual testing2662671.437
2017-09-25ANONYMOUSManual testing2672682.874
2017-11-03ramgeisManual testing2682695.748
2020-08-09ViliamFManual testing26927011.50
2021-08-12SRBaseManual testing27027122.99
2021-09-07Alex KruppaManual testing27127245.98


ECM factoring results:
Total ECM effort:0.993 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-05-20ANONYMOUSv4_computersBA3940CA649512FE3.398
2004-02-23ANONYMOUSv4_computersBA3940CA649512FE3.398


PRP results:
dateuseridcompidcofactorsres64
2022-01-17Poaotencent-CNsh
267230651975849073483599404875768565639
C8334DFCAABE4F3A


CERT results:
dateuseridcompid
2022-01-17slandrumshl2


P-1 factor-bounds graph:
B1 = 15000000, B2 = 76992671910 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 130000, B2 = 2567500 (P-1 stage 2)
B1 = 105000, B2 = 735000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
104
105
106
107
108
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
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2130
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Last modified: 2024-03-13T02:15:48+00:00