is 2 10101397 - 1
has 3040824 decimal digits
takes 2.946 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L641C2927C68F1E0Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2685.900764.7059 %1000000300000001.09116.8383 %6.991867.1194 %
Target2685.900764.7059 %6500075000000.19882.5719 %6.099565.6136 %
Difference---+935000+22500000+0.8923+4.2664%+0.8923+1.5058 %

Known prime factors (1 factor, 79.9 bits, 0.00079126% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1010139711502295922385244970094492579.92856934184065754692
22 × 3 × 619 × 12421 × 617084509
2016-07-061242161708450912,12014.22426.556

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-03-16markrv4_computers55000866250--0.0422.169%
2011-09-14markrManual testing19000043225006--0.1763.919%
2020-10-16ViliamFManual testing100000030000000---6.838%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-16delongv4_computers212640.194
2011-09-13David CampeauManual testing2642650.370
2015-05-27NesowaManual testing2652660.740
2015-11-14VictordeHollanderManual testing2662671.480
2022-03-07ViliamFManual testing267268


ECM factoring results:
Total ECM effort:0.887 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.444
50000500000010.444


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-05-31ANONYMOUSv4_computers641C2927C68F1E0C2.946
2004-06-21Team Prime Ribv4_computers641C2927C68F1E0C2.946


PRP results:
dateuseridcompidcofactorsres64
2020-01-09ATHec2-PRPCF
1150229592238524497009449
5470375A7F0019FF
2021-01-29Oliver KruseOllaptop
1150229592238524497009449
5470375A7F0019FF


CERT results:
dateuseridcompid
2021-01-29Wakaba_SMS-06F


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 190000, B2 = 4322500 (P-1 stage 2)
B1 = 190000 (P-1 stage 1)
B1 = 55000, B2 = 866250 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00