is 2 122011 - 1
has 36729 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
Actual267243.534774.6269 %10000000020000000000.770511.8959 %244.305377.6452 %
Target2440.000061.3636 %20001700000.00005.8914 %0.000163.6398 %
Difference+23+243.5347+13.2632 %+99998000+1999830000+0.7705+6.0045%+244.3052+14.0054 %

Known prime factors (1 factor, 34.3 bits, 0.02814610% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
122011217657863131134.34189196
22 × 3 × 7433
-474332.451e-81.548e-62.865e-6

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-02-28kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 21765786313
---41.145%


Trial Factoring results:
5758596061626364656667
No TF results for M122011


ECM factoring results:
Total ECM effort:12.203 GHz-days
Estimated T-Level:30.602
DigitsB1CompleteFacMiss
201100074.3990.000%
255000011.3250.001%
302500001.29627.361%
3510000000.12088.664%
4030000000.00999.057%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.769
250000250000005847.988
1000000100000000633.447


Lucas-Lehmer results:
No L-L results for M122011


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
21765786313
F62ADB46FAB8BB59
2017-09-21Oliver KruseManual testing
21765786313
F62ADB46FAB8BB59
2017-10-13kkmrkkblmbrbkManual testing
21765786313
F62ADB46FAB8BB59
2020-04-17Oliver KruseAddPrpType5
21765786313
51D6858068363FAC
2024-02-03Wentao HuangManual testing
21765786313
51D6858068363FAC


CERT results:
dateuseridcompid
2024-02-03Jon Pace16-06-Glenn


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
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.6 ~= 85-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00