is 2 13889671 - 1
has 4181208 decimal digits
takes 6.163 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L52A7A3B92D26D414double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27268.852166.6667 %15000004677773100164.871910.2350 %233.724170.0783 %
Target2698.595465.2174 %90000110000000.44032.7943 %9.035766.1893 %
Difference+3+60.2568+1.4493 %+1410000+4666773100+164.4316+7.4407%+224.6884+3.8890 %

Known prime factors (1 factor, 96.9 bits, 0.00069743% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
138896711448251668288848915829243155513096.8705213412428159201596025
52 × 17 × 41 × 107 × 211 × 32423 × 408723743
2022-02-20324234087237432.042e+914.34626.757

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-03ANONYMOUSv4_computers200000200000--0.1291.413%
2016-09-07ThaRiet-Ubuntu300000600000012--0.4244.195%
2022-02-20Luminescence5950X21500000467777310023096.870211.612.753%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-08-01ANONYMOUSv4_computers212640.141
2000-08-24Robert Walkerv4_computers212650.269
2014-07-08NesowaManual testing2652660.538
2015-09-07NesowaManual testing2662671.076
2017-12-23ANONYMOUSManual testing2672682.152
2018-01-14ramgeisManual testing2682694.304
2021-08-17SRBaseManual testing2692708.608
2021-09-04SRBaseManual testing27027117.22
2021-10-23ANONYMOUSManual testing27127234.43


ECM factoring results:
Total ECM effort:1.349 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000021.349


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-24ANONYMOUSv4_computers52A7A3B92D26D4146.163
2006-01-15ANONYMOUSv4_computers52A7A3B92D26D4146.163


PRP results:
dateuseridcompidcofactorsres64
2022-11-02Oliver KruseServer-Phi
144825166828884891582924315551
AE7D2953F2AFDF25


CERT results:
dateuseridcompid
2022-11-02wombatmanrents


P-1 factor-bounds graph:
B1 = 1500000, B2 = 4677773100 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 300000, B2 = 6000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00