is 2 18143 - 1
has 5462 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-daysProbability
Actual2671,637.762177.6119%580000000016258362259549410377,833.129435.7575%379,470.891585.6173%
Target2440.000165.9091%500100000.00001.5145%0.000166.4254%
Difference+23+1,637.7620+11.7028%+5799999500+16258362259539410+377,833.1294+34.2430%+379,470.8914+19.1919%

Known prime factors (6 factors, 216.2 bits, 1.19171794% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18143471719618.84813
13
-1131.930e-127.054e-108.681e-10
181436966913722.732192
26 × 3
2008-08-2664643.208e-112.730e-85.556e-8
1814376672319826.1922113
2113
2008-08-26121137.181e-104.951e-89.185e-8
1814363287787113691342.525174413788
22 × 1811 × 24077
2008-08-261811240776.143e-51.290e-61.572e-6
1814362172408581869611652.465171339934360
23 × 5 × 7 × 611928337
2008-08-2986119283370.06210.01420.0266
18143123150040216780791753.451339387202273
7 × 48483886039
2008-08-297484838860390.09211.12672.1044

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 471719
skipped known factor: 6966913
skipped known factor: 76672319
skipped known factor: 6328778711369
--0.171--8.008%
2023-05-20JacobZGreatLakes580000000016258362259549410-
skipped known factor: 471719
skipped known factor: 6966913
skipped known factor: 76672319
skipped known factor: 6328778711369
skipped known factor: 6217240858186961
skipped known factor: 12315004021678079
--377,833--35.757%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??42.525132.91340e-57.56951e-50.000
2008-08-26ANONYMOUSManual testing??22.73271.27989e-120.0003.36413e-11
2008-08-26ANONYMOUSManual testing??26.19282.25368e-100.0005.92363e-9
2008-08-29ANONYMOUSManual testing??53.451170.0261.11082e-50.054
2008-08-29ANONYMOUSManual testing??52.465160.0291.11082e-50.060


ECM factoring results:
Total ECM effort:45.844 GHz-days
Estimated T-Level:37.648
DigitsB1CompleteFacMiss
2011000687.6350.000%
2550000159.4090.000%
3025000028.9410.000%
3510000004.2871.374%
4030000000.53058.886%
45110000000.05794.464%
50440000000.00599.467%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.045
250000250000005710.876
10000001000000001,4218.722
30000003000000001,96636.20


Lucas-Lehmer results:
No L-L results for M18143


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
471719
6966913
76672319
6328778711369
6217240858186961
12315004021678079
D5FF45725BFF026Bno
2017-09-21Oliver KruseManual testing
471719
6966913
76672319
6328778711369
6217240858186961
12315004021678079
D5FF45725BFF026Bno
2017-10-02kkmrkkblmbrbkManual testing
471719
6966913
76672319
6328778711369
6217240858186961
12315004021678079
D5FF45725BFF02__no
2017-12-07ATHManual testing
471719
6966913
76672319
6328778711369
6217240858186961
12315004021678079
D5FF45725BFF02__no
2020-04-17Oliver KruseManual testing
471719
6966913
76672319
6328778711369
6217240858186961
12315004021678079
BBFA662EC9F125__no


P-1 factor-bounds graph:
B1 = 5800000000, B2 = 16258362259549410 (P-1 stage 2)
B1 = 5800000000 (P-1 stage 1)
B1 = 400000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.8
ECM T-Level=37.65 ~= 108-bit
250
260
270
280
290
2100
2110
Last modified: 2023-05-20T01:48:35+00:00