is 2 224911 - 1
has 67705 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-L842C15B250F6FBA3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267132.114173.1343 %30000000100708329922204,464.407323.2754 %4,596.521479.3874 %
Target2440.000059.0909 %40005000000.00039.6329 %0.000363.0316 %
Difference+23+132.1141+14.0434 %+29996000+10070832492220+4,464.4070+13.6425%+4,596.5211+16.3558 %

Known prime factors (1 factor, 98.5 bits, 0.04380855% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2249114576778862900978159646771571213098.5301017464433242700036824960
27 × 5 × 1589788176941718807539
2011-10-0512815897881769417188075392.854e+117.047e+111.316e+12

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-05-13ANONYMOUSv4_computers10000010000000--0.00524.708%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.519%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.135%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.706%
2003-10-23ANONYMOUSv4_computers2621442621440012--0.01428.227%
2011-02-11JossManual testing40000004000000--0.03322.399%
2021-06-12Oliver KruseOllaptop300000003000000000--1.56143.805%
2022-03-13Oliver KruseThreadripper-PC3000000010070832992220--5,54762.883%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.011
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.043
2002-04-07ANONYMOUSv4_computers212570.085
2022-03-07LordJuliusManual testing257258
2008-12-31Sturle Sundedanzi.ifi2582590.171
2009-01-25Sturle Sundegobi.ifi2592600.341


ECM factoring results:
Total ECM effort:16.260 GHz-days
Estimated T-Level:28.878
DigitsB1CompleteFacMiss
201100052.1630.000%
25500007.4250.060%
302500000.77646.040%
3510000000.06493.847%
4030000000.00499.577%


ECM Summary

B1B2factorcurvesGHz-days
10.030
5000050000002761.471
250000250000003669.77
25000032250000501.633
25000036250000140.479
25000020598963080.810
25000055133578572.066


Lucas-Lehmer results:
No L-L results for M224911


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
457677886290097815964677157121
76F088BFE5EC61D5
2017-09-22Oliver KruseManual testing
457677886290097815964677157121
76F088BFE5EC61D5
2017-10-12kkmrkkblmbrbkc4.xlarge
457677886290097815964677157121
76F088BFE5EC61D5
2020-04-17Oliver KruseAddPrpType5
457677886290097815964677157121
ECDB02D7A92E6540
2024-02-03Wentao HuangManual testing
457677886290097815964677157121
ECDB02D7A92E6540


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto5700X


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 = 4000000 (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
102
103
104
105
106
107
108
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
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=28.88 ~= 79-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00