is 2 3340847 - 1
has 1005696 decimal digits
takes 0.351 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6D5FF1C6883DD94Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.841267.6471 %11136152267496002.04178.3361 %19.883070.3440 %
Target2641.065465.6250 %1800015000000.01501.7545 %1.080466.2281 %
Difference+4+16.7759+2.0221 %+1095615+225249600+2.0267+6.5816%+18.8026+4.1159 %

Known prime factors (1 factor, 64.5 bits, 0.00192991% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3340847256432217848980318012064.4753837832409700
22 × 33 × 52 × 1421419411
2014-09-012714214194111.065411.79422.028

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-04Carsten Kossendeymother15000206250--0.0041.494%
2011-10-08USAFSSP4_2600550008937506--0.0153.011%
2012-11-20SRJ2877Manual testing21000046725006--0.0695.295%
2021-03-08JossManual testing33408436749316---5.295%
2022-01-24JossManual testing1113615119912100--1.15510.609%
2022-09-06JossManual testing1113615226749600--2.04211.494%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-01-05Tim Towersv4_computers212600.023
2009-03-28S485122USB-Z2602610.046
2022-04-22LordJuliusManual testing21262
2011-08-31markroldgamer2612620.092
2012-08-25GrunwalderGIMPManual testing212630.478
2022-04-22LordJuliusManual testing262263
2022-04-22LordJuliusManual testing263264
2022-04-22LordJuliusManual testing265266
2022-04-22LordJuliusManual testing266267
2021-05-14JossManual testing267268


ECM factoring results:
Total ECM effort:1.030 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.292
50000500000060.738


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-05Tim Towersv4_computers6D5FF1C6883DD94D0.351
1999-07-12ANONYMOUSv4_computers6D5FF1C6883DD94D0.351


PRP results:
dateuseridcompidcofactorsres64
2017-11-04Oliver KruseGTX-2
25643221784898031801
ED0E3538701A0DAC
2017-12-15kkmrkkblmbrbkc4.xlarge
25643221784898031801
ED0E3538701A0DAC


CERT results:
No CERT results for M3340847


P-1 factor-bounds graph:
B1 = 1113615, B2 = 226749600 (P-1 stage 2)
B1 = 1113615, B2 = 119912100 (P-1 stage 2)
B1 = 1113615 (P-1 stage 1)
B1 = 334084, B2 = 3674931 (P-1 stage 2)
B1 = 210000, B2 = 4672500 (P-1 stage 2)
B1 = 334084 (P-1 stage 1)
B1 = 210000 (P-1 stage 1)
B1 = 55000, B2 = 893750 (P-1 stage 2)
B1 = 55000 (P-1 stage 1)
B1 = 15000, B2 = 206250 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
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108
109
1010
TF factor-bounds graph:
268
267
266
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
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Last modified: 2024-02-09T03:30:02+00:00