is 2 476351 - 1
has 143396 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-L2C4C98DD3E985D53double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26762.378271.6418 %50000001200000000.19247.7472 %62.570673.8388 %
Target2440.000056.8182 %800013000000.001313.9381 %0.001362.8369 %
Difference+23+62.3782+14.8236 %+4992000+118700000+0.1911-6.1909 %+62.5692+11.0019 %

Known prime factors (1 factor, 86.4 bits, 0.01814519% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4763511045836593448716710782756712786.435109775836877503848085
5 × 37 × 79 × 197339 × 38062298761
2010-03-271973393806229876134,786,06335.41866.145

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%
2009-08-26James Hintzhome2500000012000000012--0.19235.521%


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:12.812 GHz-days
Estimated T-Level:26.434
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002803.496
250000250000001449.305


Lucas-Lehmer results:
No L-L results for M476351


PRP results:
dateuseridcompidcofactorsres64
2017-09-26Oliver KruseDoppelherz
104583659344871671078275671
4F088574A8904719
2017-09-27Oliver KruseManual testing
104583659344871671078275671
4F088574A8904719
2017-11-09kkmrkkblmbrbkc4.large
104583659344871671078275671
4F088574A8904719
2020-04-18Oliver KruseAddPrpType5
104583659344871671078275671
B9617D4D94A889F3


CERT results:
No CERT results for M476351


P-1 factor-bounds graph:
B1 = 5000000, B2 = 120000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
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)
103
104
105
106
107
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
258
257
256
255
254
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-03-13T02:15:48+00:00