is 2 221201 - 1
has 66589 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
Actual267134.329973.1343 %30000000100708329922204,464.407323.2541 %4,598.737279.3817 %
Target2440.000059.0909 %40004500000.00029.3974 %0.000262.9353 %
Difference+23+134.3299+14.0434 %+29996000+10070832542220+4,464.4070+13.8567%+4,598.7370+16.4464 %

Known prime factors (3 factors, 135.5 bits, 0.06127667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22120113067263266171340.2492953708
22 × 29 × 25463
-29254638.812e-71.151e-52.108e-5
221201559494200771531445.669126467376
24 × 3 × 7 × 29 × 12979
2008-07-2129129794.007e-55.976e-61.075e-5
2212018689852794311211549.6261964243560
23 × 5 × 19 × 1523 × 1697
2009-01-07152316970.00071.247e-52.522e-5

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-06-15Oliver KruseOllaptop300000003000000000
skipped known factor: 1306726326617
skipped known factor: 55949420077153
skipped known factor: 868985279431121
--1.56143.771%
2022-03-07Oliver KruseThreadripper-PC3000000010070832992220
skipped known factor: 1306726326617
skipped known factor: 55949420077153
skipped known factor: 868985279431121
--5,54762.846%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-07-21J FeitsmaManual testing??
45.669
14


ECM factoring results:
Total ECM effort:15.982 GHz-days
Estimated T-Level:28.993
DigitsB1CompleteFacMiss
201100053.4970.000%
25500007.6320.048%
302500000.79944.996%
3510000000.06593.672%
4030000000.00499.565%


ECM Summary

B1B2factorcurvesGHz-days
10.027
5000050000002761.643
2500002500000037610.79
2500003225000070.228
2500003621419070.239
25000036250000280.958
25000038095833140.489
25000038500000210.704
25000023541903080.902


Lucas-Lehmer results:
No L-L results for M221201


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptopF850C9380D3CC3__
2017-10-12kkmrkkblmbrbkc4.xlarge
1306726326617
55949420077153
868985279431121
F850C9380D3CC3E2
2020-04-17Oliver KruseAddPrpType5
1306726326617
55949420077153
868985279431121
8DD99ECBB9B781D7
2024-02-03Wentao HuangManual testing
1306726326617
55949420077153
868985279431121
8DD99ECBB9B781D7


CERT results:
dateuseridcompid
2024-02-03slaurnocebo


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10070832992220 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (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
1013
1014
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.99 ~= 80-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00