is 2 1146281 - 1
has 345065 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2E4C494D510938DEdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26725.922068.6567 %300000100000000.03564.1367 %25.957669.9533 %
Target2600.134065.0000 %50001300000.00050.7702 %0.134565.2696 %
Difference+7+25.7880+3.6567 %+295000+9870000+0.0351+3.3665%+25.8231+4.6837 %

Known prime factors (1 factor, 67.1 bits, 0.00585745% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11462811629369481755887160792167.14371071992022719
3 × 29 × 263 × 3106157599
2011-02-15263310615759948.4937.273013.584

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-05Jossv4_computers10001000--4.30000e-50.038%
2002-05-05Jossv4_computers30003000--0.0000.165%
2002-05-05Jossv4_computers20002000--8.60000e-50.102%
2002-05-11Jossv4_computers40004000--0.0000.225%
2002-05-11Jossv4_computers50005000--0.0000.281%
2002-06-02ANONYMOUSv4_computers500001000000--0.0044.175%
2016-03-17alpertronManual testing3000001000000012---8.235%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-14ANONYMOUSv4_computers212570.017
2003-04-27ANONYMOUSv4_computers212580.033
2022-03-07LordJuliusManual testing258260
2009-03-25Sturle Sundekraus.ifi2602610.134


ECM factoring results:
Total ECM effort:19.333 GHz-days
Estimated T-Level:25.696
DigitsB1CompleteFacMiss
201100015.0920.000%
25500001.67718.697%
302500000.13987.006%
3510000000.00999.064%


ECM Summary

B1B2factorcurvesGHz-days
10.106
5000050000002789.70
25000040000000449.52


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-07-06ANONYMOUSv4_computers2E4C494D510938DE0.034


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
162936948175588716079
D68F1D72C6D3034E
2017-10-17Oliver KruseThreadripper-PC
162936948175588716079
D68F1D72C6D3034E
2018-01-06ATHec2-1xh
162936948175588716079
D68F1D72C6D3034E


CERT results:
No CERT results for M1146281


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 3000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00