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%4000000004000000000.17068.0078%1,637.932779.4047%
Target2440.000165.9091%500100000.00001.5145%0.000166.4254%
Difference+23+1,637.7620+11.7028%+399999500+399990000+0.1706+6.4933%+1,637.9326+12.9793%

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%


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 = 400000000 (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
1011
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=37.65 ~= 108-bit
250
260
270
280
290
2100
2110
Last modified: 2023-03-25T13:08:14+00:00