is 2 3378041 - 1
has 1016892 decimal digits
takes 0.355 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDAFCEE12DEF37C58double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27070.736568.5714 %620000022250037810185.505613.8599 %256.242172.9274 %
Target2641.053765.6250 %1800016000000.01591.7899 %1.069566.2403 %
Difference+6+69.6828+2.9464 %+6182000+22248437810+185.4898+12.0700%+255.1726+6.6871 %

Known prime factors:
No known factors for M3378041

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-09Carsten Kossendeymother15000206250--0.0041.497%
2011-10-19USAFSSP4_2600600009300006--0.0163.093%
2014-06-26ANONYMOUSManual testing7900079000--0.0121.338%
2014-10-12JossManual testing9800098000--0.0151.499%
2015-08-09Squeeky_SquirrelP4_260016500043312506--0.0605.067%
2017-04-12JossManual testing33000033000006--0.0755.174%
2021-03-28mikrMSI400000015000000012--1.56211.876%
2023-05-12JossManual testing1000000887672940--7.86113.263%
2023-05-19Sid & AndyMagic_8_Ball620000022250037810--194.219.964%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-06ANONYMOUSv4_computers212600.023
2009-03-27S485122USB-Z2602610.045
2011-08-13markroldgamer2612620.091
2012-11-15GrunwalderGIMPManual testing212630.472
2016-02-23Mark RoseManual testing2622630.291
2015-02-15VictordeHollanderManual testing2632651.687
2015-03-31Gordon SpenceManual testing2652662.212
2017-03-08Gordon SpenceManual testing2662674.424
2018-10-22TJAOIManual testing2672688.849
2021-07-22TJAOIManual testing26826917.70
2022-11-07TJAOIManual testing26927035.39


ECM factoring results:
Total ECM effort:19.344 GHz-days
Estimated T-Level:22.527
DigitsB1CompleteFacMiss
20110005.4470.431%
25500000.50560.329%
302500000.03296.849%
3510000000.00299.850%


ECM Summary

B1B2factorcurvesGHz-days
500005000000719.235
50000675000071.018
500006900000578.385
500004739242210.706


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-18Nayan Hajratwalav4_computersDAFCEE12DEF37C580.355
1999-07-12ANONYMOUSv4_computersDAFCEE12DEF37C580.355


PRP results:
No PRP results for M3378041


CERT results:
No CERT results for M3378041


P-1 factor-bounds graph:
B1 = 6200000, B2 = 22250037810 (P-1 stage 2)
B1 = 1000000, B2 = 887672940 (P-1 stage 2)
B1 = 4000000, B2 = 150000000 (P-1 stage 2)
B1 = 6200000 (P-1 stage 1)
B1 = 4000000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 330000, B2 = 3300000 (P-1 stage 2)
B1 = 165000, B2 = 4331250 (P-1 stage 2)
B1 = 330000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
B1 = 60000, B2 = 930000 (P-1 stage 2)
B1 = 98000 (P-1 stage 1)
B1 = 79000 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
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109
1010
1011
TF factor-bounds graph:
270
269
268
267
266
265
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=22.53 ~= 58-bit
250
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Last modified: 2024-03-13T02:15:48+00:00