is 2 10889 - 1
has 3278 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
Actual2672,728.801379.1045%1000000000001221925735127097001,265,661.497940.4261%1,268,390.299287.5517%
Target2440.000268.1818%500100000.00001.2973%0.000268.5946%
Difference+23+2,728.8011+10.9227%+99999999500+122192573512699700+1,265,661.4979+39.1288%+1,268,390.2990+18.9571%

Known prime factors (6 factors, 436.1 bits, 4.00495372% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1088975847547291032.820348276
22 × 3 × 29023
-4290237.274e-83.013e-75.614e-7
108895512260475141931548.97025311141864
23 × 32 × 9109 × 38593
2008-08-269109385930.00392.037e-63.524e-6
10889795394847370174491756.1433652286010516
22 × 32 × 11 × 13 × 61 × 449 × 25903
2008-08-26449259031.33493.490e-75.011e-7
1088954286626272027001531962.235249272781118684
22 × 41 × 1519955982431
2008-08-2941151995598243182.25615.74329.404
108895607863276170314981493443170245943935115.4332575012983823268886717532909471
11 × 19 × 43 × 286526425261296193025206733
2015-04-13432865264252612961930252067331.489e+132.968e+155.543e+15
10889187784386012531958663451310711319712137120.49886226644325710330913514239467040
25 × 3 × 5 × 7 × 11 × 43 × 139 × 181431732791 × 2151359646757
2010-04-1818143173279121513596467571.179e+1354.89670.198

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 7584754729
skipped known factor: 551226047514193
skipped known factor: 79539484737017449
--0.122--12.113%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 7584754729
skipped known factor: 551226047514193
skipped known factor: 79539484737017449
--0.076--7.676%
2022-04-15Jocelyn LaroucheManual testing100000000001305383259180061200.168137.02.85534e-6274.025.443%
2022-04-15Jocelyn LaroucheManual testing10000000000100471997879253061200.16810,4082.85534e-620,81731.897%
2022-12-24Anton RepkoManual testing1000000000001221925735127097001962.2351,265,6612.85534e-62,531,32340.426%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??48.970150.0003.04879e-60.001


ECM factoring results:
Total ECM effort:45.460 GHz-days
Estimated T-Level:40.667
DigitsB1CompleteFacMiss
20110001,256.9100.000%
2550000314.0670.000%
3025000060.5700.000%
3510000009.3990.008%
4030000001.20330.017%
45110000000.13387.505%
50440000000.01398.725%
551100000000.00199.894%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
5000050000003370.046
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000070.018
10000001000000001,3603.720
30000003000000005,07741.67


Lucas-Lehmer results:
No L-L results for M10889


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
7584754729
551226047514193
79539484737017449
5428662627202700153
56078632761703149814934431702459439
1877843860125319586634513107113197121
02154CAF371D6745no
2017-09-21Oliver KruseManual testing
7584754729
551226047514193
79539484737017449
5428662627202700153
56078632761703149814934431702459439
1877843860125319586634513107113197121
02154CAF371D6745no
2017-10-02kkmrkkblmbrbkManual testing
7584754729
551226047514193
79539484737017449
5428662627202700153
56078632761703149814934431702459439
1877843860125319586634513107113197121
02154CAF371D67__no
2017-10-12kkmrkkblmbrbkManual testing
7584754729
551226047514193
79539484737017449
5428662627202700153
56078632761703149814934431702459439
1877843860125319586634513107113197121
02154CAF371D67__no
2020-04-17Oliver KruseManual testing
7584754729
551226047514193
79539484737017449
5428662627202700153
56078632761703149814934431702459439
1877843860125319586634513107113197121
0C0DC8D49FF65D__no


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 10000000000, B2 = 1004719978792530 (P-1 stage 2)
B1 = 10000000000, B2 = 13053832591800 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 10000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=40.67 ~= 118-bit
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2023-03-23T17:39:31+00:00