is 2 3846481 - 1
has 1157907 decimal digits
takes 0.404 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L16A3DAF82471F155double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26931.037968.1159 %150000007500000008.382811.1442 %39.420771.6692 %
Target2640.925365.6250 %2400025000000.02422.2279 %0.949566.3909 %
Difference+5+30.1126+2.4909 %+14976000+747500000+8.3586+8.9162%+38.4712+5.2783 %

Known prime factors (1 factor, 71.9 bits, 0.00186910% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
384648143890715099450416258792271.894570530766945819
3 × 43 × 89 × 1153 × 43099283
2021-02-09115343099283239.990.35780.6679

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-27Carsten Kossendeymother20000270000--0.0051.799%
2011-10-25Squeeky_SquirrelT7500_22007000011375006--0.0203.400%
2014-10-18JossManual testing8668686686--0.0131.439%
2015-03-21David Campeaui5-2500k12000003480000012--0.4629.058%
2021-02-09axnManual testing1500000075000000022271.8948.38315.420%
2022-03-03JossManual testing9000090000--0.0141.468%
2022-03-22JossManual testing100000100000--0.0151.550%
2022-05-25JossManual testing100000130364850
skipped known factor: 4389071509945041625879
--1.3028.143%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-10ANONYMOUSv4_computers212600.020
2009-02-23S485122USB-Z2602610.040
2011-03-03markrut2612620.080
2012-02-20GrunwalderGIMPManual testing212630.415
2016-02-23Mark RoseManual testing2622630.255
2015-01-18VictordeHollanderManual testing2632651.482
2016-02-24YxinityManual testing2652661.943
2016-11-21Gordon SpenceManual testing2662673.885
2018-07-23TJAOIManual testing2672687.771
2020-09-29TJAOIManual testing26826915.54


ECM factoring results:
Total ECM effort:1.652 GHz-days
Estimated T-Level:2.308
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.652


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-23ANONYMOUSv4_computers16A3DAF82471F1550.404


PRP results:
dateuseridcompidcofactorsres64
2021-02-11ViliamF3
4389071509945041625879
61A0903A51BADFA8


CERT results:
dateuseridcompid
2021-02-11Mario TranquilliniMT-03-LE2400


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 1200000, B2 = 34800000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 70000, B2 = 1137500 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 86686 (P-1 stage 1)
B1 = 70000 (P-1 stage 1)
B1 = 20000, B2 = 270000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=2.31 ~= -9-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00