is 2 8081 - 1
has 2433 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
Actualunknown4000000004000000000.059029.8827%0.059029.8827%
Target2440.000370.4545%500100000.00001.1834%0.000370.8042%
Difference-44-0.0003-70.4545%+399999500+399990000+0.0590+28.6992%+0.0587-40.9215%

Known prime factors (5 factors, 210.7 bits, 2.60715201% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
808134988144091031.704216484
22 × 54121
-4541216.578e-84.352e-78.119e-7
8081362635683111135.0782243755
5 × 53 × 8467
-5384679.410e-77.539e-81.270e-7
8081569943717671135.7303526443
33 × 211 × 619
-2116197.360e-73.438e-86.330e-8
80812720507923671237.98516832743
37 × 281 × 1619
-28116193.287e-65.217e-88.431e-8
808113437430458218301046572270.18783142126334725288
23 × 3 × 22273 × 322513 × 482263
-32251348226345,2494.883e-59.676e-5

26 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing100000000100000000-
skipped known factor: 3498814409
skipped known factor: 36263568311
skipped known factor: 56994371767
skipped known factor: 272050792367
skipped known factor: 1343743045821830104657
--0.015--26.197%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 3498814409
skipped known factor: 36263568311
skipped known factor: 56994371767
skipped known factor: 272050792367
skipped known factor: 1343743045821830104657
--0.059--29.883%


Trial Factoring results:
No TF results for M8081


ECM factoring results:
Total ECM effort:1,300.704 GHz-days
Estimated T-Level:44.256
DigitsB1CompleteFacMiss
20110002,425.0500.000%
2550000676.9510.000%
30250000173.1300.000%
35100000034.5290.000%
4030000005.8070.301%
45110000000.85142.692%
50440000000.11089.583%
551100000000.01398.726%
602600000000.00199.872%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,76423.95
30000003000000000892.224
11000000365788846622,400643.5
1100000099324315090900631.0


Lucas-Lehmer results:
No L-L results for M8081


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC7023AB48E1D93B__?
2017-09-21Oliver KruseManual testing7023AB48E1D93B__?
2017-10-02kkmrkkblmbrbkManual testing
3498814409
36263568311
56994371767
272050792367
1343743045821830104657
7023AB48E1D93B__no
2017-12-07ATHManual testing
3498814409
36263568311
56994371767
272050792367
1343743045821830104657
7023AB48E1D93B__no
2020-04-17Oliver KruseManual testing
3498814409
36263568311
56994371767
272050792367
1343743045821830104657
154003DB2731B8__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=44.26 ~= 130-bit
250
260
270
280
290
2100
2110
2120
2130
2140
Last modified: 2023-03-23T17:39:31+00:00