is 2 3572351 - 1
has 1075385 decimal digits
takes 0.375 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA9F29F760DBF77C2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272267.704369.4444 %50000004550817604.49597.7300 %272.200171.8064 %
Target2640.996465.6250 %2000020000000.01951.9777 %1.015866.3048 %
Difference+8+266.7079+3.8194 %+4980000+453081760+4.4764+5.7523%+271.1843+5.5016 %

Known prime factors (1 factor, 76.5 bits, 0.00214170% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
35723511075186662933199365084172476.50915048726495985408
28 × 5009 × 11735693327
2022-10-025009117356933274,284.097.374181.87

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-09Carsten Kossendeymother20000245000--0.0051.725%
2011-12-22Squeeky_SquirrelP4_26008500015725006--0.0253.742%
2016-04-05USAFSSP4_260018500050412506--0.0685.337%
2017-06-19JossManual testing37000037000006--0.0845.397%
2022-03-13KingTest5000000455081760--4.49613.843%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-11-04ArtyomPaxioo50000250000027--0.031
2021-11-04ArtyomPaxioo50000250000065--0.031


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.043
2009-03-15S485122USB-Z2602610.043
2011-06-20markroldgamer2612620.086
2012-07-02GrunwalderGIMPManual testing212630.447
2016-02-23Mark RoseManual testing2622630.275
2015-01-30VictordeHollanderManual testing2632640.550
2015-01-30VictordeHollanderManual testing2642651.046
2016-02-26ramgeisManual testing2652662.092
2017-01-20Gordon SpenceManual testing2662674.184
2018-11-26TJAOIManual testing2672688.367
2020-12-21axnManual testing26826916.73
2021-03-17ANONYMOUSManual testing26927033.47
2021-03-17ANONYMOUSManual testing27027166.94
2021-03-20ANONYMOUSManual testing271272133.9


ECM factoring results:
Total ECM effort:10.300 GHz-days
Estimated T-Level:21.067
DigitsB1CompleteFacMiss
20110002.3059.976%
25500000.21380.788%
302500000.01498.656%


ECM Summary

B1B2factorcurvesGHz-days
500005000000263.703
50000552684971.086
50000670000071.197
50000675000071.202
50000680000071.206
500003891478531.906


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27Masonv4_computersA9F29F760DBF77C20.375


PRP results:
dateuseridcompidcofactorsres64
2022-10-05LordJuliusWhitebox
107518666293319936508417
845ECD3B32833478


CERT results:
dateuseridcompid
2022-10-05sinnesloscheneuler


P-1 factor-bounds graph:
B1 = 5000000, B2 = 455081760 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 370000, B2 = 3700000 (P-1 stage 2)
B1 = 185000, B2 = 5041250 (P-1 stage 2)
B1 = 370000 (P-1 stage 1)
B1 = 185000 (P-1 stage 1)
B1 = 85000, B2 = 1572500 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 20000, B2 = 245000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.07 ~= 53-bit
250
260
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280
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Last modified: 2024-02-09T03:30:02+00:00