is 2 9431 - 1
has 2840 decimal digits
takes 0.000 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-daysProbabilityProb over default TF
Actualunknown4000000004000000000.070736.4370%0.070736.4370%36.4370%
PrimeNet2400.000065.0000%500100000.00003.0271%0.000066.0595%1.0595%
GPU722440.000268.1818%500100000.00001.2413%0.000268.5768%0.3949%
Difference-44-0.0002-68.1818%+399999500+399990000+0.0707+35.1958%+0.0705-32.1397%+36.0421%

Known prime factors (5 factors, 251.8 bits, 2.66961467% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9431679033619.37336
22 × 32
-997.464e-121.591e-93.239e-9
9431207698856602631444.2401101149701
1101149701
-111011497010.00030.01060.0198
9431450973536435191445.3582390910489
32 × 11 × 24150611
-11241506110.00050.00020.0004
943135170317212197928711961.609186461230050885
3 × 5 × 3499897 × 3551747
-3499897355174735.4270.00060.0013
943127610795370147870136320412581.192146383179780234705420
22 × 3 × 5 × 7 × 61 × 107 × 142939 × 373574767
-14293937357476756,648,7670.00360.0067

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
9431141034377695453656792063.613
9431306225913366196371272064.731
943123881806007550396125737432580.982
94319366668787563346340457854972789.598
9431187486412125776187022760569635331100.565
94317304834671325307300223393538507332105.849
943115860882330732332589801035155304933106.967
943163602772068255017556001186338440133108.971
94314960223801374037391992591584633227440938125.222
94315734730628268902792062524186701728678338125.431
943110770062511684167995450366304612152161739126.340
943112451738031863955875379868931295039227939126.550
9431971080431649186517150257842615226342897971143142.801
94313894071342705317869602591986068634929612083944144.804
94318455141030990677549926818540024064372038620744145.923
9431329428712480196264008241785796440787683579188746151.207
9431659395658744042068300091033644544989297038009946349162.174
943122369296692156510973830844453471457738314382724052
71
52170.580
943125862117519336260730930530716400926601762827723093
77
52170.789
943120169229532272443346748220484647044329618617321166
5923993
57187.040
943143793157642384444821218590299454082182476686635857
7643009
57188.159
943117561231245507459132905951063949870393174818197295
53192441
58190.162
943113695572436987554023072484400351336452273918575443
7147366738769
63206.413
943129736999213381236720286523026809203786613691956406
4052665330297
63207.532
943190957887693419768915923637137402693659904046065640
71891381534271051367
70232.398
943161763407354125905946286375096321963283965624112090
21428620477360674822888111
76251.771
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T05:23:27Seth_TrManual testing100000000100000000-
skipped known factor: 679033
skipped known factor: 45097353643519
skipped known factor: 3517031721219792871
--0.018--26.436%
2021-08-27T06:18:59Seth_TrManual testing400000000400000000-
skipped known factor: 679033
skipped known factor: 45097353643519
skipped known factor: 3517031721219792871
skipped known factor: 2761079537014787013632041
--0.071--30.122%


Trial Factoring results:
No TF results for M9431


ECM factoring results:
Total ECM effort:29.951 GHz-days
Estimated T-Level:39.290
DigitsB1CompleteFacMiss
2011000779.0470.000%
2550000204.9200.000%
3025000041.0200.000%
3510000006.5470.143%
4030000000.85842.404%
45110000000.09790.737%
50440000000.01099.053%


ECM Summary

B1B2factorcurvesGHz-days
50000500000050.001
2500002500000050.003
100000010000000040.010
30000003000000003,87229.56
150000001500000000100.382


Lucas-Lehmer results:
No L-L results for M9431


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:00:02Oliver KruseOliver-PC9A93203288879B__?
2017-09-21T19:21:45Oliver KruseManual testing9A93203288879B__?
2017-10-02T10:03:02kkmrkkblmbrbkManual testing
679033
20769885660263
45097353643519
3517031721219792871
2761079537014787013632041
9A93203288879B__no
2017-12-07T02:54:33ATHManual testing
679033
20769885660263
45097353643519
3517031721219792871
2761079537014787013632041
9A93203288879B__no
2020-04-17T13:47:06Oliver KruseManual testing
679033
20769885660263
45097353643519
3517031721219792871
2761079537014787013632041
8A9EFD080FE150__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
210
220
230
240
250
260
270
280
290
2100
Last modified: 2021-08-27T06:18:59+00:00