is 2 193877 - 1
has 58363 decimal digits
takes 0.001 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
Actual267153.261773.1343 %10000000020000000001.360712.3031 %154.622476.4396 %
Target2440.000059.0909 %36004000000.00028.8197 %0.000262.6990 %
Difference+23+153.2617+14.0434 %+99996400+1999600000+1.3606+3.4834%+154.6223+13.7407 %

Known prime factors (3 factors, 171.4 bits, 0.08842476% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1938771434782860971237.062370024
23 × 23 × 2011
-2320119.444e-88.780e-71.371e-6
1938772257061961254905371857.647582086054884
22 × 145521513721
2014-07-2841455215137210.099053.01099.008
1938771249773198391814774290332476.726322310846152925508
22 × 3 × 23 × 59 × 4409 × 4489249343
2014-12-124409448924934378,9371.63543.0543

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-08-23kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 143478286097
---41.988%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-11ATHec2-P_115000000150000000027--0.586


Trial Factoring results:
5758596061626364656667
No TF results for M193877


ECM factoring results:
Total ECM effort:13.610 GHz-days
Estimated T-Level:29.263
DigitsB1CompleteFacMiss
201100057.1030.000%
25500008.1340.029%
302500000.85342.627%
3510000000.07093.246%
4030000000.00599.534%


ECM Summary

B1B2factorcurvesGHz-days
10.005
5000050000002791.361
50000500000020.010
250000250000004029.326
25000031250000150.396
25000033750000501.360
25000036000000210.586
2500003850000070.201
2500009859290020.096
25000036755218520.269


Lucas-Lehmer results:
No L-L results for M193877


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop31E2ED42F57F6D__
2017-10-12kkmrkkblmbrbkc4.xlarge
143478286097
225706196125490537
124977319839181477429033
31E2ED42F57F6D1D
2020-04-17Oliver KruseAddPrpType5
143478286097
225706196125490537
124977319839181477429033
AAA157B80BB2ED65
2023-08-24USAFSS6917th_Scty_Sq
143478286097
225706196125490537
124977319839181477429033
AAA157B80BB2ED65


CERT results:
dateuseridcompid
2023-08-24LOBESRD_EVO


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.26 ~= 81-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00