is 2 69389 - 1
has 20889 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
Actual267428.222374.6269%10000000009549477435498011,045.712428.8286%11,473.934781.9416%7.3147%
PrimeNet2400.000057.5000%700100000.00005.6104%0.000059.8844%2.3844%
GPU722440.000061.3636%500100000.00002.2395%0.000062.2289%0.8653%
Difference+23+428.2223+13.2632%+999999500+95494774344980+11,045.7124+26.5891%+11,473.9347+19.7127%+6.4495%

Known prime factors (4 factors, 253.2 bits, 0.36484103% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6938913739023823.71299
32 × 11
-9111.645e-111.934e-83.888e-8
6938915659709531030.54411284
22 × 7 × 13 × 31
2008-08-2613312.973e-92.968e-85.616e-8
693892268699180565191893512167.6201634768609264575
52 × 952439 × 68656097
2010-04-2595243968656097573.210.00990.0148
69389331206218568122753068089740560573078067940131.28323865902273279824833049167775913551
11 × 1566343 × 4430201 × 465265967 × 672006672461
2022-10-024652659676720066724611.940e+1278.649145.15

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
69389215149109405989191754.256
6938931169710221866324424347440732891.332
693893552717017859992628107729215033098.165
69389488108608208698494974025381630691156937121.877
693894550449854650465571225805511625746412755673661747154.995
69389518659317730649483043020164915163377288132761708749161.827
6938971258722954657010524661640352332226893193336401693
486001
56185.539
6938975140727666359593383972189830885268496875566116592
5453349329
60198.903
6938910323601856448507797730417474468988142397488310138
856619851858165567
68222.615
6938911766819691280259849219142503496831274171310779401
49373308405776040537
70229.448
6938916166460637535238951439833089582054530295894473834
504863319773050353786775351
77253.160
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-14T05:26:40kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 13739023
skipped known factor: 1565970953
skipped known factor: 226869918056519189351
--0.432--11.411%
2022-09-21T18:40:00George WoltmanSkylakeX10000000001000000000-
skipped known factor: 13739023
skipped known factor: 1565970953
skipped known factor: 226869918056519189351
--2.123--10.430%
2022-10-02T15:44:45George WoltmanSkylakeX10000000009549477435498040131.28311,0460.00022,09128.829%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:09:00ANONYMOUSManual testing??30.544109.12036e-100.0001.89909e-9


ECM factoring results:
Total ECM effort:12.484 GHz-days
Estimated T-Level:31.198
DigitsB1CompleteFacMiss
2011000105.0670.000%
255000017.4870.000%
302500002.25310.512%
3510000000.24078.690%
4030000000.02297.858%
45110000000.00299.832%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
110001100000300.010
5000050000002630.402
250000250000005854.467
10000001000000002497.606


Lucas-Lehmer results:
No L-L results for M69389


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:18:25Oliver KruseOllaptop054DEC3DD42619__?
2017-09-21T21:39:34Oliver KruseManual testing054DEC3DD42619__?
2017-10-02T16:52:52kkmrkkblmbrbkManual testing
13739023
1565970953
226869918056519189351
054DEC3DD42619__no
2017-12-07T03:33:56ATHxps
13739023
1565970953
226869918056519189351
054DEC3DD42619__no
2020-04-17T13:51:56Oliver KruseAddPrpType5
13739023
1565970953
226869918056519189351
FDC5C718D19A1B__no
2022-10-02T18:54:37George WoltmanManual testing
13739023
1565970953
226869918056519189351
3312062185681227530680897405605730780679
FDC5C718D19A1B69no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 95494774354980 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
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
1011
1012
1013
1014
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2022-10-02T18:54:37+00:00