is 2 209819 - 1
has 63162 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4DC0FEC6426E0748double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267141.616973.1343 %30000000100708329922203,668.770323.1866 %3,810.387279.3636 %
Target2440.000059.0909 %40004500000.00029.3177 %0.000262.9027 %
Difference+23+141.6169+14.0434 %+29996000+10070832542220+3,668.7701+13.8689%+3,810.3870+16.4609 %

Known prime factors (1 factor, 69.6 bits, 0.03317091% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2098198940160592230469831832169.5992130445906288389
33 × 71 × 379 × 2932305323
2009-03-253792932305323910.531.06821.9951

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00424.568%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00120.383%
2002-07-27ANONYMOUSv4_computers65536655360012--0.00322.996%
2003-02-16ANONYMOUSv4_computers1310721310720030--0.00625.565%
2003-10-14ANONYMOUSv4_computers2621442621440012--0.01128.084%
2009-03-15axnManual testing500000020000000012--0.10435.453%
2021-05-13Oliver KruseOllaptop300000003000000000
skipped known factor: 894016059223046983183
--1.28243.665%
2022-02-16Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 894016059223046983183
--5,54762.727%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-12ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-04ANONYMOUSv4_computers212560.046
2002-03-24ANONYMOUSv4_computers212570.092
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundeantonov.ifi2582590.183
2009-01-26Sturle Sundeghia.ifi2592600.366


ECM factoring results:
Total ECM effort:14.309 GHz-days
Estimated T-Level:29.226
DigitsB1CompleteFacMiss
201100056.5360.000%
25500008.0590.032%
302500000.84542.945%
3510000000.06993.293%
4030000000.00599.537%


ECM Summary

B1B2factorcurvesGHz-days
10.004
5000050000002761.329
250000250000003478.479
25000031250000501.323
2500003225000070.187
2500003410596270.192
25000036000000431.203
2500003800000070.200
25000038500000210.605
25000023541903070.787


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-12-25ANONYMOUSv4_computers4DC0FEC6426E07480.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
894016059223046983183
808550ECABF11655
2017-09-22Oliver KruseManual testing
894016059223046983183
808550ECABF11655
2017-10-12kkmrkkblmbrbkc4.xlarge
894016059223046983183
808550ECABF11655
2020-04-17Oliver KruseAddPrpType5
894016059223046983183
3A82CD6D784D07FE
2023-08-03USAFSSUSAFSACS
894016059223046983183
3A82CD6D784D07FE


CERT results:
dateuseridcompid
2023-08-03curtiscwcm128--19l


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
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 = 262144 (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)
101
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108
101
102
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109
1010
1011
1012
1013
1014
TF factor-bounds graph:
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.23 ~= 80-bit
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Last modified: 2024-03-13T02:15:48+00:00