is 2 4873303 - 1
has 1467011 decimal digits
takes 0.675 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2689A645DEE63EFEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.097365.6716 %3200002243412602.51748.0993 %8.614768.4520 %
Target2651.497164.6154 %3200035000000.04442.3718 %1.541565.4546 %
Difference+2+4.6002+1.0563 %+288000+220841260+2.4730+5.7275%+7.0732+2.9973 %

Known prime factors (1 factor, 67.5 bits, 0.00138562% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
48733032124341044783787918172167.52621795700419036
22 × 33 × 47 × 40459 × 106129
2013-12-20404591061298.45510.00890.0165

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-17Carsten Kossendeymother30000435000--0.0102.064%
2013-12-20David Campeaui5-2500k2167.5260.0820.000%
2023-04-13Kevin_9611Factor_2320000224341260
skipped known factor: 212434104478378791817
--2.8689.659%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-04-18markrManual testing2612620.063
2011-10-09GrunwalderGIMPManual testing212630.327


ECM factoring results:
Total ECM effort:0.395 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.395


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-07ANONYMOUSv4_computers2689A645DEE63EFE0.675
2000-09-15Team_Deutschlandv4_computers2689A645DEE63EFE0.675


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
212434104478378791817
085E67D4571C337D
2018-04-01Oliver KruseGTX-4
212434104478378791817
085E67D4571C337D


CERT results:
No CERT results for M4873303


P-1 factor-bounds graph:
B1 = 320000, B2 = 224341260 (P-1 stage 2)
B1 = 320000 (P-1 stage 1)
B1 = 30000, B2 = 435000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
TF factor-bounds graph:
263
262
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00