is 2 236333 - 1
has 71144 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-LF41819ACFD7A7764double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267125.729073.1343 %30000000101202470268904,486.311423.3450 %4,612.040479.4061 %
Target2440.000059.0909 %45005000000.00039.8771 %0.000363.1316 %
Difference+23+125.7290+14.0434 %+29995500+10120246526890+4,486.3111+13.4679%+4,612.0402+16.2746 %

Known prime factors (1 factor, 71.6 bits, 0.03029040% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23633335448634827975149057992271.5867499721754468303
269 × 27880006522187
2008-11-03269278800065221872,022.912,35923,082

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-10-07ANONYMOUSv4_computers1000004000000--0.00322.399%
2001-06-09ANONYMOUSv4_computers10000010000000--0.00524.808%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00220.616%
2002-08-03ANONYMOUSv4_computers65536655360012--0.00323.234%
2003-02-24ANONYMOUSv4_computers1310721310720030--0.00725.807%
2003-10-31ANONYMOUSv4_computers2621442621440012--0.01428.328%
2021-07-10Oliver KruseOllaptop30000000300000000024--1.56143.905%
2022-04-01Oliver KruseThreadripper-PC3000000010120247026890--5,57563.004%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-11-17ANONYMOUSv4_computers2522530.003
2000-04-19ANONYMOUSv4_computers212540.010
2022-03-07LordJuliusManual testing254255
2001-02-11ANONYMOUSv4_computers212560.041
2002-04-14ANONYMOUSv4_computers212570.081


ECM factoring results:
Total ECM effort:25.045 GHz-days
Estimated T-Level:28.888
DigitsB1CompleteFacMiss
201100051.1590.000%
25500007.3890.062%
302500000.77845.952%
3510000000.06493.791%
4030000000.00499.570%


ECM Summary

B1B2factorcurvesGHz-days
10.005
110001100000300.035
5000050000002731.614
250000250000003018.981
25000036250000280.960
25000038500000210.739
250000367552185508.271
250000551335785154.439


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-09-10ANONYMOUSv4_computersF41819ACFD7A77640.001


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
3544863482797514905799
BB9522A8D3824F3D
2017-09-22Oliver KruseManual testing
3544863482797514905799
BB9522A8D3824F3D
2017-10-12kkmrkkblmbrbkc4.xlarge
3544863482797514905799
BB9522A8D3824F3D
2020-04-17Oliver KruseAddPrpType5
3544863482797514905799
F1D43689C6A4CA0F
2024-02-03Wentao HuangManual testing
3544863482797514905799
F1D43689C6A4CA0F


CERT results:
dateuseridcompid
2024-02-03Chun sung sooqc11


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)
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 = 100000, B2 = 4000000 (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
TF factor-bounds graph:
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.89 ~= 79-bit
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Last modified: 2024-02-29T14:28:04+00:00