is 2 12421 - 1
has 3740 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
Actual2672,392.232379.1045%1000000000000100038167631942540015,586,772.676345.1543%15,589,164.908688.5397%
Target2440.000268.1818%500100000.00001.3505%0.000268.6115%
Difference+23+2,392.2321+10.9227%+999999999500+1000381676319415400+15,586,772.6763+43.8039%+15,589,164.9084+19.9282%

Known prime factors (7 factors, 478.7 bits, 3.85422754% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1242174527516.1853
3
-137.033e-133.171e-105.820e-10
1242153559353825.6752156
22 × 72 × 11
2008-08-2649495.278e-101.401e-82.852e-8
12421904186957331531446.3623639751056
24 × 32 × 41 × 616489
2008-08-26416164890.00149.616e-61.794e-5
124217885799109549974811859.45231743817363940
22 × 5 × 11 × 29 × 173 × 1373 × 20947
2008-08-261373209478.53806.976e-77.991e-7
12421604906320998011710905264412685.6452435014576113081518820
22 × 3 × 5 × 11 × 3689416024413759877
2008-10-161136894160244137598771.172e+957,483,151107,362,519
12421715372773710815409737740716755131102.497287969074032209729384808275
52 × 7 × 11 × 97 × 29723 × 49537 × 146309 × 7158961
2008-10-2514630971589611.507e+130.00020.0002
124211053661094030774218455274186068176337805339944142.918424145034228634658423345216193614176719
3 × 4937 × 6263 × 25589 × 564745397383 × 316403718372809
2010-03-055647453973833164037183728091.353e+135,082.49,207.4

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-09kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
skipped known factor: 7153727737108154097377407167551
--0.183--12.229%
2021-03-01gLausslaptop-klaus600006000000-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
--0.000--1.285%
2021-03-01gLausslaptop-klaus6000006000000045148.8580.0014.89939e-60.0023.613%
2021-08-27Seth_TrManual testing400000000400000000-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
skipped known factor: 7153727737108154097377407167551
--0.114--7.761%
2022-05-12-Anonymous-T58101000000000000100038167631942540044142.91815,586,7734.89939e-631,173,54545.154%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??25.67581.67944e-100.0001.32911e-8
2008-08-26ANONYMOUSManual testing??46.362140.0015.19040e-60.001
2010-03-17Never Odd Or Evenv4_computers??46.362140.0015.19040e-60.001
2010-07-20Never Odd Or Evenv4_computers??147.674453.88263e+125.19040e-68.22648e+12
2010-07-20Never Odd Or Evenv4_computers??88.22227667,440,3105.19040e-61.41417e+9
2010-07-20Never Odd Or Evenv4_computers??62.5471952.605.19040e-6111.5
2011-04-14Never Odd Or Evenv4_computers??88.22227667,440,3105.19040e-61.41417e+9


ECM factoring results:
Total ECM effort:374.844 GHz-days
Estimated T-Level:42.659
DigitsB1CompleteFacMiss
2011000633.2170.000%
2550000220.2770.000%
3025000063.9720.000%
35100000014.8190.000%
4030000002.9875.043%
45110000000.53258.753%
50440000000.08491.916%
551100000000.01298.788%
602600000000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
10.00000e+0
5000050000001880.039
250000250000001360.140
11000000110000000051223.18
25000000250000000040041.15
270000002700000000606.666
44000000440000000014225.71
50000000500000000021043.21
10000000010000000000510209.9
110000000110000000005424.44
various1640.4410


Lucas-Lehmer results:
No L-L results for M12421


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KrusePRP
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697B2no
2017-09-21Oliver KruseManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697B2no
2017-10-02kkmrkkblmbrbkManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697__no
2017-12-07ATHManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697__no
2020-04-17Oliver KruseManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
CADC35FCE6BD27__no


P-1 factor-bounds graph:
B1 = 1000000000000, B2 = 1000381676319425400 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 600000, B2 = 60000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 60000, B2 = 6000000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
100
101
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105
106
107
108
109
1010
1011
1012
100
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103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=42.66 ~= 125-bit
250
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2100
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Last modified: 2023-03-23T17:39:31+00:00