is 2 472393 - 1
has 142205 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L29D87D61C12FC1E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26762.900871.6418%131072131072000.01433.3332%62.915272.5870%0.9452%
PrimeNet2400.000052.5000%45001600000.000218.6457%0.000261.3567%8.8567%
GPU722440.000056.8182%80002600000.000413.9233%0.000462.8305%6.0123%
Difference+23+62.9008+14.8236%+123072+12847200+0.0139-10.5901%+62.9148+9.7565%+9.7565%

Known prime factors (1 factor, 69.1 bits, 0.01461825% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4723936134847744321559137832169.056649337283185987
11 × 19 × 3106876953043
2009-08-24193106876953043455.812,890.85,399.2

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.740%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.473%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.333%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.020--
2002-01-28T00:00:00ANONYMOUSv4_computers21257--0.041--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.081--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.918 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.918 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002803.617
250000250000001449.301


Lucas-Lehmer results:
No L-L results for M472393


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-26T02:10:06Oliver KruseDoppelherz
613484774432155913783
03E26EBE72B843__no
2017-09-27T07:35:22Oliver KruseManual testing
613484774432155913783
03E26EBE72B843__no
2017-11-07T06:50:17kkmrkkblmbrbkc4.xlarge
613484774432155913783
03E26EBE72B843__no
2020-04-18T21:13:33Oliver KruseAddPrpType5
613484774432155913783
54275AC2F2E62A__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (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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Last modified: 2020-11-27T10:30:42+00:00