is 2 8106011 - 1
has 2440153 decimal digits
takes 2.117 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1038A76AA9F8B595double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272117.978368.0556 %2200000165969045035.02339.0785 %153.001670.9556 %
Target2673.665765.6716 %5500060000000.14352.5722 %3.809166.5546 %
Difference+5+114.3127+2.3839 %+2145000+1653690450+34.8798+6.5063%+149.1925+4.4010 %

Known prime factors (1 factor, 83.0 bits, 0.00102453% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
8106011100002858061213927808796892683.048616843833922837804
22 × 31 × 109 × 131 × 1471 × 236833469
2022-02-241471236833469389,3834.88599.1245

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-07-27shaneamyv4_computers450007312504--0.0312.177%
2012-09-22James HeinrichManual testing20500045612506--0.1674.322%
2022-02-24FlaukrotistColab_HLM2150000080267616022683.04818.0911.775%
2022-06-20FlaukrotistColab_AK222000001659690450
skipped known factor: 10000285806121392780879689
--37.0713.121%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-20ANONYMOUSv4_computers212620.038
1999-03-15ANONYMOUSv4_computers212630.121
2012-07-20AxelssonManual testing2632640.242
2013-12-26David CampeauManual testing2642650.461
2015-04-20snme2pm1Manual testing2652660.922
2015-11-26snme2pm1Manual testing2662671.844
2018-07-03chuenkitManual testing2672683.688
2019-11-24mnd9Manual testing2682697.375
2021-08-19SRBaseManual testing26927014.75
2021-08-26SRBaseManual testing27027129.50
2021-10-05SRBaseManual testing27127259.00


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08Michael Hanschov4_computers1038A76AA9F8B5952.117
2002-07-27shaneamyv4_computersD956C68C280A764A2.117
2003-01-25ANONYMOUSv4_computers1038A76AA9F8B5952.117


PRP results:
dateuseridcompidcofactorsres64
2022-02-24FlaukrotistLenovo
10000285806121392780879689
4A6CDD678BFD663F


CERT results:
dateuseridcompid
2022-02-24oodairacom5


P-1 factor-bounds graph:
B1 = 2200000, B2 = 1659690450 (P-1 stage 2)
B1 = 1500000, B2 = 802676160 (P-1 stage 2)
B1 = 2200000 (P-1 stage 1)
B1 = 1500000 (P-1 stage 1)
B1 = 205000, B2 = 4561250 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 45000, B2 = 731250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
102
103
104
105
106
107
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
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00