is 2 217499 - 1
has 65474 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-L9DF1532EB0D4CA46double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267136.616373.1343 %30000000100708329922204,464.407323.2325 %4,601.023679.3759 %
Target2440.000059.0909 %40004500000.00029.3719 %0.000262.9249 %
Difference+23+136.6163+14.0434 %+29996000+10070832542220+4,464.4070+13.8607%+4,601.0234+16.4510 %

Known prime factors (1 factor, 94.4 bits, 0.04342158% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
217499268984332274323405412275273912994.44261835762986111063823805
32 × 5 × 1374128066358023640529
2012-01-28913741280663580236405291.845e+106.091e+111.138e+12

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-06ANONYMOUSv4_computers10000010000000--0.00524.640%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.453%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.068%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.638%
2003-10-23ANONYMOUSv4_computers2621442621440012--0.01428.158%
2009-03-23axnManual testing500000020000000012--0.12735.525%
2021-05-02Dylan Delgadolaptop-ryzen737006500000604500000--0.31838.837%
2021-05-29Oliver KruseOllaptop300000003000000000--1.56143.737%
2022-03-01Oliver KruseThreadripper-PC3000000010070832992220--5,54762.808%


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_computers212560.044
2001-02-11ANONYMOUSv4_computers212560.044
2002-03-31ANONYMOUSv4_computers212570.088
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundebuxtehude.ifi2582590.177
2009-01-22Sturle Sundeiago.ifi2592600.353


ECM factoring results:
Total ECM effort:16.002 GHz-days
Estimated T-Level:29.027
DigitsB1CompleteFacMiss
201100054.1200.000%
25500007.6940.046%
302500000.80544.690%
3510000000.06693.617%
4030000000.00499.560%


ECM Summary

B1B2factorcurvesGHz-days
10.089
5000050000002771.477
250000250000003209.103
25000032250000571.859
2500003588295970.238
25000036250000501.710
25000038500000210.737
25000023541903070.788


Lucas-Lehmer results:
No L-L results for M217499


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
26898433227432340541227527391
55DF227AD80CB828
2017-09-22Oliver KruseManual testing
26898433227432340541227527391
55DF227AD80CB828
2017-10-12kkmrkkblmbrbkc4.xlarge
26898433227432340541227527391
55DF227AD80CB828
2020-04-17Oliver KruseAddPrpType5
26898433227432340541227527391
5C70F3531799CA89
2023-08-03USAFSS6917th_Scty_Sq
26898433227432340541227527391
5C70F3531799CA89


CERT results:
dateuseridcompid
2023-08-03curtiscwcm128--11l


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 6500000, B2 = 604500000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 6500000 (P-1 stage 1)
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)
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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=29.03 ~= 80-bit
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Last modified: 2024-02-29T14:28:04+00:00