is 2 3419921 - 1
has 1029499 decimal digits
takes 0.359 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L706D94AA37B9317Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26934.909268.1159 %140000007000000007.823910.9043 %42.733271.5927 %
Target2641.040865.6250 %1900016000000.01601.8212 %1.056866.2510 %
Difference+5+33.8685+2.4909 %+13981000+698400000+7.8079+9.0831%+41.6764+5.3417 %

Known prime factors (1 factor, 85.7 bits, 0.00250615% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3419921632151087650736366231058632685.7089242188454802557811
3 × 211 × 14600613672673867
2021-06-14211146006136726738672,291,204121,144,131226,263,500

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-06Carsten Kossendeymother15000210000--0.0041.509%
2011-10-28USAFSSP4_2600600009450006--0.0163.111%
2014-07-18JossManual testing7876878768--0.0121.339%
2014-09-11HBendtzHAL90075000001000000012--0.1336.734%
2021-04-18axnManual testing14000000700000000--7.82415.136%
2022-04-09JossManual testing10000001000000--0.1523.936%
2022-04-10JossManual testing1000000126668850--1.25110.615%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.045
2009-03-24S485122USB-A2602610.045
2011-08-02Grant McCrackenthumper2612620.090
2012-08-18GrunwalderGIMPManual testing212630.467
2016-02-23Mark RoseManual testing2622630.287
2015-02-07VictordeHollanderManual testing2632640.574
2015-02-07VictordeHollanderManual testing2642651.093
2015-04-10Gordon SpenceManual testing2652662.185
2017-01-31Gordon SpenceManual testing2662674.370
2018-12-17TJAOIManual testing2672688.740
2020-12-29axnManual testing26826917.48


ECM factoring results:
Total ECM effort:4.771 GHz-days
Estimated T-Level:20.592
DigitsB1CompleteFacMiss
20110001.27527.932%
25500000.11888.838%
302500000.00799.256%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.115
50000630000040.656


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-26ANONYMOUSv4_computers706D94AA37B9317E0.359


PRP results:
dateuseridcompidcofactorsres64
2021-06-15DKZWaaaf
63215108765073636623105863
5220BB5334FFDB57
2021-06-21NesowaLaptop
63215108765073636623105863
5220BB5334FFDB57


CERT results:
dateuseridcompid
2021-06-15arnaudCHAMOT24


P-1 factor-bounds graph:
B1 = 14000000, B2 = 700000000 (P-1 stage 2)
B1 = 14000000 (P-1 stage 1)
B1 = 1000000, B2 = 126668850 (P-1 stage 2)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 60000, B2 = 945000 (P-1 stage 2)
B1 = 78768 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 210000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
101
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108
101
102
103
104
105
106
107
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109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.59 ~= 52-bit
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Last modified: 2024-02-09T03:30:02+00:00