is 2 4736737 - 1
has 1425900 decimal digits
takes 0.624 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8433AF14079234E2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.273165.6716 %2400001190487901.28167.1181 %7.554768.1152 %
Target2651.540264.6154 %3000032500000.03922.2815 %1.579565.4227 %
Difference+2+4.7328+1.0563 %+210000+115798790+1.2424+4.8366%+5.9752+2.6925 %

Known prime factors (1 factor, 66.3 bits, 0.00139893% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4736737885914145919274964072066.2649351523484619
3 × 349 × 419 × 21316783
2015-07-03419213167834.33280.22180.4141

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-01-27Sturle Sundev4_computers6000012750006--0.0243.115%
2015-07-03David Campeaui5-2500k2066.2640.5000.000%
2023-03-18USAFSS6917th_Scty_Sq240000119048790
skipped known factor: 88591414591927496407
--1.5378.567%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-12-30ANONYMOUSv4_computers212610.032
2010-06-08markrManual testing2612620.065
2011-10-25GrunwalderGIMPManual testing212630.337
2015-01-11VictordeHollanderManual testing2632651.203


ECM factoring results:
Total ECM effort:1.580 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.580


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-27ANONYMOUSv4_computers8433AF14079234E20.624
2000-01-04dwightv4_computers8433AF14079234E20.624


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
88591414591927496407
45D124117440FE2D
2018-03-14treborLaptop
88591414591927496407
45D124117440FE2D


CERT results:
No CERT results for M4736737


P-1 factor-bounds graph:
B1 = 240000, B2 = 119048790 (P-1 stage 2)
B1 = 240000 (P-1 stage 1)
B1 = 60000, B2 = 1275000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00