is 2 4471939 - 1
has 1346188 decimal digits
takes 0.558 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L18BC34028793D984double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.644565.6716 %3430001799783701.83207.8728 %8.476568.3742 %
Target2651.631464.6154 %2600027500000.03152.0887 %1.663065.3545 %
Difference+2+5.0131+1.0563 %+317000+177228370+1.8004+5.7840%+6.8135+3.0198 %

Known prime factors (1 factor, 70.2 bits, 0.00157009% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
447193913687389445153083978472270.213153036405965657
19 × 4457 × 7673 × 235523
2010-08-27767323552355.0190.00360.0043

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-07-17ANONYMOUSv4_computers20000100000--0.0041.158%
2003-07-06ANONYMOUSv4_computers20000100000--0.0041.158%
2010-08-27markrtiny2270.2130.0370.000%
2023-10-03USAFSS6917th_Scty_Sq343000179978370
skipped known factor: 1368738944515308397847
--1.8329.397%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-05ANONYMOUSv4_computers212600.017
2002-06-23David Campeauv4_computers212610.034


ECM factoring results:
Total ECM effort:0.355 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-23S00030v4_computers18BC34028793D9840.558
1999-12-15ANONYMOUSv4_computers173C893BDE73D9640.558
2001-09-16ANONYMOUSv4_computers18BC34028793D9840.558
2003-07-06ANONYMOUSv4_computers18BC34028793D9840.558


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1368738944515308397847
8DAD9004D598C8D6
2018-02-16Oliver KruseGTX-5
1368738944515308397847
8DAD9004D598C8D6


CERT results:
No CERT results for M4471939


P-1 factor-bounds graph:
B1 = 343000, B2 = 179978370 (P-1 stage 2)
B1 = 343000 (P-1 stage 1)
B1 = 20000, B2 = 100000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
261
260
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00