is 2 12911 - 1
has 3887 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
Actual2672,301.442079.1045%4000000004000000000.11447.7859%2,301.556480.7314%
Target2440.000268.1818%500100000.00001.3665%0.000268.6166%
Difference+23+2,301.4418+10.9227%+399999500+399990000+0.1144+6.4194%+2,301.5562+12.1148%

Known prime factors (6 factors, 232.4 bits, 1.80014730% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12911542263619.04921
3 × 7
-375.434e-129.202e-101.746e-9
1291113659839823.703529
232
2008-08-265295299.647e-111.513e-73.079e-7
1291148153765238491342.131186483484
22 × 11 × 4238261
2008-08-261142382616.310e-56.604e-50.0001
12911155281595794971443.820601353868
22 × 149 × 1008983
2008-08-2614910089830.00011.576e-52.936e-5
12911592080162530811445.7512292929140
22 × 5 × 179 × 640483
2008-08-261796404830.00041.003e-51.864e-5
129112810009353193132391857.96310882229700229
17 × 19 × 557 × 60486739
2008-08-29557604867391.59930.00090.0018

57 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 542263
skipped known factor: 13659839
skipped known factor: 4815376523849
skipped known factor: 15528159579497
skipped known factor: 59208016253081
skipped known factor: 281000935319313239
--0.114--7.786%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??23.70389.91077e-120.0007.27459e-10
2008-08-26ANONYMOUSManual testing??43.820141.58731e-55.38367e-63.35603e-5
2008-08-26ANONYMOUSManual testing??42.131131.77198e-59.61435e-50.001
2008-08-26ANONYMOUSManual testing??45.751143.14320e-65.38367e-66.64561e-6


ECM factoring results:
Total ECM effort:44.084 GHz-days
Estimated T-Level:38.633
DigitsB1CompleteFacMiss
2011000706.5450.000%
2550000168.1740.000%
3025000032.5250.000%
3510000005.2210.540%
4030000000.72748.359%
45110000000.08991.479%
50440000000.01099.015%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
500005000000980.020
800008000000100.003
250000250000004960.510
50000050000000250.051
10000001000000001,4215.848
30000003000000003364.148
30000005280000001,00015.40
11000000110000000040018.11


Lucas-Lehmer results:
No L-L results for M12911


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOliver-PC
542263
13659839
4815376523849
15528159579497
59208016253081
281000935319313239
512FBF6EF5AD938Eno
2017-09-21Oliver KruseManual testing
542263
13659839
4815376523849
15528159579497
59208016253081
281000935319313239
512FBF6EF5AD938Eno
2017-10-02kkmrkkblmbrbkManual testing
542263
13659839
4815376523849
15528159579497
59208016253081
281000935319313239
512FBF6EF5AD93__no
2017-12-07ATHManual testing
542263
13659839
4815376523849
15528159579497
59208016253081
281000935319313239
512FBF6EF5AD93__no
2020-04-17Oliver KruseManual testing
542263
13659839
4815376523849
15528159579497
59208016253081
281000935319313239
80FFC19E397DD9__no


P-1 factor-bounds graph:
B1 = 400000000 (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:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=38.63 ~= 112-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-03-23T17:39:31+00:00