is 2 233071 - 1
has 70162 decimal digits
takes 0.001 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267127.488773.1343%30000000100708329922204,464.407323.3211%4,591.895979.3997%
Target2440.000059.0909%45001000000.00019.8557%0.000163.1228%
Difference+23+127.4887+14.0434%+29995500+10070832892220+4,464.4072+13.4654%+4,591.8959+16.2769%

Known prime factors (4 factors, 272.4 bits, 0.11689248% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
233071104415809926.638224
25 × 7
-32324.022e-112.604e-75.299e-7
233071453351063531135.40097256
23 × 12157
2008-07-218121572.064e-85.450e-61.007e-5
2330715624832158971235372712168.9301206677827565685
32 × 5 × 61 × 15451 × 28450663
2014-08-041545128450663324.860.01270.0236
233071387298775653934458248078440588754419320315343141.4748308600719393113219750171419626517656
23 × 32 × 53437 × 2827793 × 7816981 × 17067581 × 5723934823
2022-03-271706758157239348238.033e+112.66864.7390

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-30Oliver KruseOllaptop30000000300000000024-
skipped known factor: 104415809
skipped known factor: 45335106353
skipped known factor: 562483215897123537271
--1.561--12.502%
2022-03-27Oliver KruseThreadripper-PC300000001007083299222043141.4744,4640.0038,92923.321%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??35.400111.00322e-90.0032.08445e-9


ECM factoring results:
Total ECM effort:14.246 GHz-days
Estimated T-Level:28.289
DigitsB1CompleteFacMiss
201100045.3200.000%
25500006.3580.173%
302500000.65851.798%
3510000000.05494.790%
4030000000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.039
5000050000002741.634
250000250000002828.411
2500003440579970.235
25000036250000351.200
25000037525425140.487
25000038500000140.492
25000023541903080.904
25000025426810570.843


Lucas-Lehmer results:
No L-L results for M233071


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseDoppelherz
104415809
45335106353
562483215897123537271
57EE128B7728B53Eno
2017-09-22Oliver KruseManual testing
104415809
45335106353
562483215897123537271
57EE128B7728B53Eno
2017-10-12kkmrkkblmbrbkc4.xlarge57EE128B7728B5__no
2020-04-17Oliver KruseAddPrpType5
104415809
45335106353
562483215897123537271
5B3E65D68FE185__no
2022-03-28Oliver KruseServer-Phi
104415809
45335106353
562483215897123537271
3872987756539344582480784405887544193203153
5B3E65D68FE18520no


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)
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TF factor-bounds graph:
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Last modified: 2023-01-09T20:34:27+00:00