is 2 9862109 - 1
has 2968791 decimal digits
takes 2.876 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD639BFC6BA969CC3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27296.970566.6667 %1000000211799973049.20218.6676 %146.172669.5559 %
Target2686.043864.7059 %6500075000000.19882.5623 %6.242665.6102 %
Difference+4+90.9267+1.9608 %+935000+2110499730+49.0033+6.1053%+139.9300+3.9457 %

Known prime factors (1 factor, 93.4 bits, 0.00094689% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9862109129150714300572348941528292872993.383654782431935057445327
72 × 11 × 47 × 83 × 331871 × 938345983
2022-01-04331871938345983240,689,44121.75440.382

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-07-30Stephan Guentherv4_computers50000537500--0.0321.861%
2013-03-31NesowaEPC12000023700006--0.1033.192%
2022-01-04Luminescence5950X1000000211799973022993.38364.9511.844%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-12delongv4_computers212640.199
2013-08-24NesowaManual testing2642650.379
2015-04-30VictordeHollanderManual testing2652660.758
2016-12-06snme2pm1Manual testing2662684.546
2019-09-17chuenkitManual testing2682696.062
2021-08-21SRBaseManual testing26927012.12
2021-09-15SRBaseManual testing27027124.25
2021-10-29SRBaseManual testing27127248.49


ECM factoring results:
Total ECM effort:1.331 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.331


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-31ANONYMOUSv4_computersD639BFC6BA969CC32.876
2003-09-29Stephan Guentherv4_computersD639BFC6BA969CC32.876


PRP results:
dateuseridcompidcofactorsres64
2022-01-10Oliver KruseOllaptop
12915071430057234894152829287
723DF021815B0F17


CERT results:
dateuseridcompid
2022-01-101997rj7compf


P-1 factor-bounds graph:
B1 = 1000000, B2 = 2117999730 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 120000, B2 = 2370000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 50000, B2 = 537500 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00