is 2 327443 - 1
has 98571 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB4F24DEC7DB37E33double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26790.745371.6418 %10000002056349295011.561911.6361 %102.307274.9416 %
Target2440.000056.8182 %60008000000.000511.7988 %0.000561.9131 %
Difference+23+90.7453+14.8236 %+994000+20562692950+11.5614-0.1627 %+102.3067+13.0284 %

Known prime factors (1 factor, 97.3 bits, 0.02972356% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3274431988667819515204612395960275773097.328303666259397086609332916
22 × 59 × 1286721438123248344631
2011-03-135912867214381232483446311.060e+117.229e+111.350e+12

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-09-30ANONYMOUSv4_computers10000010000000--0.00725.474%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.263%
2002-08-17ANONYMOUSv4_computers65536655360012--0.00423.893%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.475%
2006-01-15Jossv4_computers327443327443--0.00315.456%
2023-03-23Denial140i5-8400100000020563492950--15.7646.652%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-19ANONYMOUSv4_computers212540.007
2022-03-07LordJuliusManual testing254255
2001-03-05ANONYMOUSv4_computers212560.029
2002-03-10ANONYMOUSv4_computers212570.059
2004-01-27ANONYMOUSv4_computers212580.117
2008-12-30Sturle Sundegoomba.ifi2582590.117
2009-01-24Sturle Sunderodolfo.ifi2592600.235


ECM factoring results:
Total ECM effort:9.275 GHz-days
Estimated T-Level:26.797
DigitsB1CompleteFacMiss
201100028.4130.000%
25500003.7012.470%
302500000.35969.804%
3510000000.02897.243%
4030000000.00299.819%


ECM Summary

B1B2factorcurvesGHz-days
10.115
5000050000002921.982
250000250000001897.179


Lucas-Lehmer results:
No L-L results for M327443


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
198866781951520461239596027577
81A22B201DE6585A
2017-09-22Oliver KruseManual testing
198866781951520461239596027577
81A22B201DE6585A
2017-10-13Oliver KruseGTX-0
198866781951520461239596027577
81A22B201DE6585A
2017-12-12ATHxps
198866781951520461239596027577
81A22B201DE6585A
2020-04-18Oliver KruseAddPrpType5
198866781951520461239596027577
41F16B78B65239FF


CERT results:
No CERT results for M327443


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20563492950 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 327443 (P-1 stage 1)
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=26.8 ~= 72-bit
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Last modified: 2024-03-13T02:15:48+00:00