is 2 10433 - 1
has 3141 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2672,848.070379.1045%----2,848.070379.1045%
Target2440.000268.1818%500500000.00001.2804%0.000268.5892%
Difference+23+2,848.0701+10.9227%-500-500000.0000-1.2804%+2,848.0701+10.5153%

Known prime factors (5 factors, 10,433.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10433146063617.1567
7
-171.676e-122.523e-103.869e-10
1043373455505061663991652.706352034434303
73 × 51043 × 94477
2008-08-2651043944770.08641.015e-51.975e-5
10433175783849162255112295705612683.862842441527663448252160
28 × 3 × 5 × 219385814495689649
2008-10-16256219385814495689649297,494,9892,272,3504,244,116
1043340752315357823877305922596382771140064939128.26019530487567250013086323491029795428
22 × 72 × 17 × 29 × 65933843 × 3065502714708163041407
2015-04-146593384330655027147081630414071.794e+133.175e+105.930e+10
10433
click to show decimal representation
3,05610,151.0162015-04-14

11 Composite Factors:
P-1 results:
No P-1 results for M10433


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??52.706160.0292.92922e-60.062


ECM factoring results:
Total ECM effort:4.532 GHz-days
Estimated T-Level:34.982
DigitsB1CompleteFacMiss
2011000220.0500.000%
255000045.2630.000%
302500007.4030.061%
3510000000.99636.923%
4030000000.11289.388%
45110000000.01198.913%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003550.049
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000050.013
10000001000000009692.651
30000003000000002141.756
10000000100000000020.055


Lucas-Lehmer results:
No L-L results for M10433


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-09kkmrkkblmbrbkc4.large
146063
7345550506166399
17578384916225511229570561
407523153578238773059225963827711400649
PRP


P-1 factor-bounds graph:
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=34.98 ~= 100-bit
250
260
270
280
290
2100
2110
2120
2130
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Last modified: 2023-10-02T12:12:48+00:00