is 2 6829619 - 1
has 2055921 decimal digits
takes 1.489 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L05334EE70ADE740Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272140.027468.0556 %1000000258551202044.83808.5408 %184.865470.7839 %
Target2674.350765.6716 %4000045000000.08952.1708 %4.440266.4169 %
Difference+5+135.6766+2.3839 %+960000+2581012020+44.7485+6.3699%+180.4251+4.3670 %

Known prime factors (2 factors, 178.4 bits, 0.00261192% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
682961970174667859940535958290172582.537513752435237899332
22 × 32 × 8087 × 22229 × 79386019
2021-12-312222979386019160,5501.37422.5542
6829619712451010261943030688352399592995.8475215891327627083082441
72 × 11 × 71 × 83 × 1151 × 1627 × 876880579
2021-12-3116278768805792.213e+915.10628.213

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-11-24ANONYMOUSv4_computers30000270000--0.0141.450%
2011-11-21James HeinrichQ660012000022500006--0.0753.349%
2019-11-19takahashivaio6000001200000012--0.3865.795%
2021-12-31Luminescence5950X10000002585512020254178.38453.6912.589%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-02PhillTv4_computers212620.045
1999-11-17ANONYMOUSv4_computers212630.144
2011-11-05James HeinrichManual testing2632640.287
2013-11-10David CampeauManual testing2642650.547
2015-06-26VictordeHollanderManual testing2652661.094
2016-05-01Gordon SpenceManual testing2662672.188
2018-02-27ANONYMOUSManual testing2672684.377
2020-05-15TJAOIManual testing2682698.753
2021-06-19takahashiManual testing26927017.51
2021-08-10SRBaseManual testing27027135.01
2021-09-25SRBaseManual testing27127270.03


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01ANONYMOUSv4_computersCA3E6AD58705D9B41.489
1999-04-02ANONYMOUSv4_computersCA3E6AD58705D9B41.489
1999-05-16ANONYMOUSv4_computersCA3E6AD58705D9B41.489
2000-06-11ANONYMOUSv4_computers05334EE70ADE740B1.489
2001-12-22ANONYMOUSv4_computers05334EE70ADE740B1.489


PRP results:
dateuseridcompidcofactorsres64
2022-01-01LuminescenceMain
7017466785994053595829017
71245101026194303068835239959
D52C2D0356E6E306


CERT results:
dateuseridcompid
2022-01-01Yooniris


P-1 factor-bounds graph:
B1 = 1000000, B2 = 2585512020 (P-1 stage 2)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 600000 (P-1 stage 1)
B1 = 120000, B2 = 2250000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 30000, B2 = 270000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00