is 2 243233 - 1
has 73221 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267122.162473.1343%30000000101202470268904,486.311423.3820%4,608.473879.4161%6.2817%
PrimeNet2400.000055.0000%2600650000.000013.9599%0.000061.2820%6.2820%
GPU722440.000059.0909%45001100000.000110.1173%0.000163.2298%4.1389%
Difference+23+122.1624+14.0434%+29995500+10120246916890+4,486.3113+13.2647%+4,608.4737+16.1863%+16.1863%

Known prime factors (3 factors, 166.2 bits, 0.06833065% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
243233455332177928.762936
23 × 32 × 13
-9131.768e-107.500e-81.490e-7
24323358356865126791342.40811996083
11 × 1090553
2008-07-211110905533.745e-60.00050.0009
243233405114369954324212542784453032995.03283277016267185006257947
19 × 337 × 2534593177 × 5131370737
2022-05-19253459317751313707376.346e+1021.77341.969

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
24323326571758441076671721832271.170
2432331844616080052858342609167506399041463138123.795
24323323641204648349005204099345957870191749673742137.440
24323310764601179435271995366884519273184692786364860644
9
51166.203
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-07-22T22:44:34Oliver KruseOllaptop30000000300000000024-
skipped known factor: 455332177
skipped known factor: 5835686512679
--1.561--12.542%
2022-04-10T08:07:45Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 455332177
skipped known factor: 5835686512679
--4,486--23.382%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??42.408131.33631e-60.0032.77973e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:12.241 GHz-days
Estimated T-Level:27.336
DigitsB1CurvesCompleteFacMiss
2011000580 / 1005.8000.294%
2550000580 / 2802.07112.554%
30250000299 / 6400.46762.653%

New Calculation Method

Total ECM effort:12.241 GHz-days
Estimated T-Level:27.336
DigitsB1CompleteFacMiss
201100038.5280.000%
25500005.3080.495%
302500000.54058.251%
3510000000.04395.746%
4030000000.00399.714%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.678
250000250000002597.735
2500003625000050.172
25000038500000280.986
25000055133578571.670


Lucas-Lehmer results:
No L-L results for M243233


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T06:18:11Oliver KruseOllaptop
455332177
5835686512679
3C46C5160B0A6F__no
2017-09-22T10:05:43Oliver KruseManual testing
455332177
5835686512679
3C46C5160B0A6F__no
2017-10-12T17:08:21kkmrkkblmbrbkc4.xlarge3C46C5160B0A6F__no
2020-04-17T20:10:16Oliver KruseAddPrpType5
455332177
5835686512679
E144F4B3E66728__no
2022-05-19T22:54:30aperson12012_VP113
455332177
5835686512679
40511436995432421254278445303
E144F4B3E66728EBno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
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106
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109
1010
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
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290
2100
Last modified: 2022-07-03T17:32:38+00:00