is 2 476407 - 1
has 143413 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8D8C6BFBAC164C6Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26762.370971.6418 %131072131072000.01433.3373 %62.385272.5882 %
Target2440.000056.8182 %800013000000.001313.9383 %0.001362.8370 %
Difference+23+62.3709+14.8236 %+123072+11807200+0.0130-10.6010 %+62.3838+9.7512 %

Known prime factors (3 factors, 269.2 bits, 0.05651383% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4764073583461554961651497512168.280376092454032125
53 × 3008739632257
2008-11-181253008739632257125.112,799.55,228.6
4764072638947338376492441743534184473097.736276963535210071686787089
323273 × 4379483 × 195627684971
2020-08-2143794831956276849716.737e+10182.09339.96
4764071181225865895404499487614985027332103.22012397234569343066952076848
24 × 72 × 15812799195590646622547
2020-08-2149158127991955906466225472.695e+111.471e+132.748e+13

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-07Alex Kruppav4_computers1000004000000--0.00523.778%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00422.020%
2002-09-14ANONYMOUSv4_computers65536655360012--0.00724.664%
2003-04-27ANONYMOUSv4_computers1310721310720030--0.01427.255%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-27ANONYMOUSv4_computers212540.005
2022-03-07LordJuliusManual testing254255
2001-03-25ANONYMOUSv4_computers212560.020
2002-01-28ANONYMOUSv4_computers212570.040
2003-12-31ANONYMOUSv4_computers212580.081


ECM factoring results:
Total ECM effort:12.915 GHz-days
Estimated T-Level:26.433
DigitsB1CompleteFacMiss
201100023.8220.000%
25500003.0214.875%
302500000.28775.083%
3510000000.02297.834%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.022
5000050000002793.587
25000025000000805.170
25000025000000352.262
25000025000000291.874


Lucas-Lehmer results:
No L-L results for M476407


PRP results:
dateuseridcompidcofactorsres64
2017-09-26Oliver KruseDoppelherz
358346155496165149751
8F4321D0B12661A0
2017-09-27Oliver KruseManual testing
358346155496165149751
8F4321D0B12661A0
2017-11-09kkmrkkblmbrbkc4.large
358346155496165149751
8F4321D0B12661A0
2020-04-18Oliver KruseAddPrpType5
358346155496165149751
B2CFC00856E10A6D
2020-08-21ANONYMOUSdory
358346155496165149751
263894733837649244174353418447
11812258658954044994876149850273
B2CFC00856E10A6D
2020-08-21M Millercruncher
358346155496165149751
11812258658954044994876149850273
263894733837649244174353418447
B2CFC00856E10A6D


CERT results:
dateuseridcompid
2020-08-21Ben Deloi-0010f3eb14118f8f5


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 100000, B2 = 4000000 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-03-03T02:29:32+00:00