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
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267127.488773.1343%30000000100708329922204,464.407323.3211%4,591.895979.3997%6.2654%
PrimeNet2400.000055.0000%2400600000.000013.5421%0.000061.0939%6.0939%
GPU722440.000059.0909%45001000000.00019.8557%0.000163.1228%4.0319%
Difference+23+127.4887+14.0434%+29995500+10070832892220+4,464.4072+13.4654%+4,591.8959+16.2769%+2.2335%

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:
exponentprime factorscomposite factordigitsbits*
23307147337018059495345771962.038
233071587321400368198149170931172392995.568
2330712550023641447355586896034438266332104.330
233071266262781490851564516419234763436271936740130.968
23307140440114984615070490949833069533228995655952184577
7
51168.112
23307117558231184657805787568074161977573535685252098993
1009
54176.874
23307118333569137550731794738026061948853805855659672853
127158921281
62203.512
23307121784906084284362907004756618646027088440604924226
43455270215463
64210.405
23307122746885927795739389844934291840294030754403116124
8686300594861173454567
72237.043
23307198762103422114837428390888998319830091537376116346
091670074616368330136439
74245.805
23307110312324927361789240988914242988764699750419180925
555285719002158463833175358564151
83272.442
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-30T13:08:12Oliver KruseOllaptop30000000300000000024-
skipped known factor: 104415809
skipped known factor: 45335106353
skipped known factor: 562483215897123537271
--1.561--12.502%
2022-03-27T17:16:09Oliver KruseThreadripper-PC300000001007083299222043141.4744,4640.0038,92923.321%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:14:00J FeitsmaManual testing??35.400111.00322e-90.0032.08445e-9


ECM factoring results:
Total ECM effort:12.264 GHz-days
Estimated T-Level:28.042
DigitsB1CompleteFacMiss
201100042.7450.000%
25500005.9280.266%
302500000.60854.426%
3510000000.04995.201%
4030000000.00399.675%


ECM Summary

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


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


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T05:19:56Oliver KruseDoppelherz
104415809
45335106353
562483215897123537271
57EE128B7728B53Eno
2017-09-22T10:02:50Oliver KruseManual testing
104415809
45335106353
562483215897123537271
57EE128B7728B53Eno
2017-10-12T14:37:46kkmrkkblmbrbkc4.xlarge57EE128B7728B5__no
2020-04-17T20:03:46Oliver KruseAddPrpType5
104415809
45335106353
562483215897123537271
5B3E65D68FE185__no
2022-03-28T07:19:10Oliver 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:
267
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Last modified: 2022-09-21T00:37:02+00:00