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-daysProbability
Actual267428.222374.6269%10000000009549477435498011,045.712428.8286%11,473.934781.9416%
Target2440.000061.3636%500500000.00002.2395%0.000062.2289%
Difference+23+428.2223+13.2632%+999999500+95494774304980+11,045.7124+26.5891%+11,473.9346+19.7127%

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:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-11-14kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 13739023
skipped known factor: 1565970953
skipped known factor: 226869918056519189351
--0.432--11.411%
2022-09-21George WoltmanSkylakeX10000000001000000000-
skipped known factor: 13739023
skipped known factor: 1565970953
skipped known factor: 226869918056519189351
--2.123--10.430%
2022-10-02George WoltmanSkylakeX10000000009549477435498040131.28311,0460.00022,09128.829%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??30.544109.12036e-100.0002.14668e-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
2017-09-21Oliver KruseOllaptop054DEC3DD42619__?
2017-09-21Oliver KruseManual testing054DEC3DD42619__?
2017-10-02kkmrkkblmbrbkManual testing
13739023
1565970953
226869918056519189351
054DEC3DD42619__no
2017-12-07ATHxps
13739023
1565970953
226869918056519189351
054DEC3DD42619__no
2020-04-17Oliver KruseAddPrpType5
13739023
1565970953
226869918056519189351
FDC5C718D19A1B__no
2022-10-02George 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)
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109
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109
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1014
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.9
ECM T-Level=31.2 ~= 87-bit
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Last modified: 2023-09-25T11:53:03+00:00