is 2 10867 - 1
has 3272 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
Actual2672,734.325779.1045%1000000000001221925735127097001,265,661.497940.4235%1,268,395.823687.5512%8.4467%
Target2440.000268.1818%500100000.00001.2965%0.000268.5943%0.4125%
Difference+23+2,734.3255+10.9227%+99999999500+122192573512699700+1,265,661.4979+39.1270%+1,268,395.8234+18.9569%+8.0342%

Known prime factors (4 factors, 297.4 bits, 2.73705107% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10867260809617.99312
22 × 3
-441.611e-127.604e-101.548e-9
1086716469093463431340.58375775713
3 × 132 × 149459
2008-08-261691494592.250e-51.578e-62.891e-6
10867967752360167573374981115406235331102.932445271169673126610371360728
23 × 33 × 29 × 107 × 269 × 2469657736593258619
2008-10-1626924696577365932586191.556e+1325,580,16647,776,627
108678283286016413303356526474114699430379168741135.9273811211013349269971715502951458282129
3 × 11 × 17 × 399950647 × 33618522299 × 505260223367813
2019-08-20336185222995052602233678131.236e+135,239.49,774.5

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-07T22:08:16kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 260809
skipped known factor: 1646909346343
--0.122--12.111%
2022-12-24T13:55:30-Anonymous-T581010000000000012219257351270970041135.9271,265,6612.84957e-62,531,32340.424%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??40.583139.02385e-63.04302e-61.92729e-5


ECM factoring results:
Total ECM effort:110.213 GHz-days
Estimated T-Level:41.645
DigitsB1CompleteFacMiss
20110002,835.8100.000%
2550000729.4720.000%
30250000143.6370.000%
35100000022.6380.000%
4030000002.9345.317%
45110000000.32971.962%
50440000000.03296.861%
551100000000.00399.730%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000003370.046
2500002500000020.001
3500003500000060.006
4000004000000010.001
9500009500000070.018
10000001000000001,3693.745
30000003000000008,87472.83
30000003000000004,09033.57


Lucas-Lehmer results:
No L-L results for M10867


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:05:12Oliver KrusePRP
260809
1646909346343
9677523601675733749811154062353
E4A2CBB2F76CCBE5no
2017-09-21T19:21:54Oliver KruseManual testing
260809
1646909346343
9677523601675733749811154062353
E4A2CBB2F76CCBE5no
2017-10-02T10:03:54kkmrkkblmbrbkManual testing
260809
1646909346343
9677523601675733749811154062353
E4A2CBB2F76CCB__no
2017-10-12T15:34:59kkmrkkblmbrbkManual testing
260809
1646909346343
9677523601675733749811154062353
E4A2CBB2F76CCB__no
2019-08-21T01:25:30mnd975211b
260809
1646909346343
9677523601675733749811154062353
82832860164133033565264741146994303791687
2984404D462E3E8Eno
2019-08-21T18:51:25marssystemsSYSTEM01
260809
1646909346343
9677523601675733749811154062353
82832860164133033565264741146994303791687
2984404D462E3E8Eno


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 122192573512709700 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-24T13:55:30+00:00