is 2 1147301 - 1
has 345373 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-LAB950B5E8819E445double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26725.899068.6567 %300000100000000.03564.1372 %25.934669.9535 %
Target2600.133965.0000 %50001300000.00050.7704 %0.134465.2696 %
Difference+7+25.7651+3.6567 %+295000+9870000+0.0351+3.3668%+25.8002+4.6838 %

Known prime factors (1 factor, 74.2 bits, 0.00646829% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1147301218598728243686782635512374.2119526651168424275
52 × 709 × 66533 × 8078243
2013-10-016653380782433,807.50.02160.0353

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-05Jossv4_computers10001000--4.30000e-50.038%
2002-05-05Jossv4_computers30003000--0.0000.166%
2002-05-05Jossv4_computers20002000--8.60000e-50.102%
2002-05-11Jossv4_computers40004000--0.0000.225%
2002-05-11Jossv4_computers50005000--0.0000.281%
2002-08-10Jossv4_computers1000010000--0.0000.518%
2002-08-10Jossv4_computers80008000--0.0000.430%
2002-08-10Jossv4_computers70007000--0.0000.383%
2002-08-10Jossv4_computers60006000--0.0000.334%
2002-08-10Jossv4_computers90009000--0.0000.475%
2003-09-21Xyzzyv4_computers1000010000006--0.0032.861%
2003-09-21Team Prime Ribv4_computers1000010000006--0.0032.861%
2013-10-01David Campeaui5-2500k2374.2110.1370.000%
2016-03-17alpertronManual testing3000001000000012
skipped known factor: 21859872824368678263551
---8.236%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-14ANONYMOUSv4_computers212570.017
2003-04-27ANONYMOUSv4_computers212580.033
2022-03-07LordJuliusManual testing258260
2009-04-15Sturle Sundekraus.ifi2602610.134
2012-08-30AxelssonManual testing2612620.268
2012-12-01dbaughManual testing2622630.856


ECM factoring results:
Total ECM effort:19.336 GHz-days
Estimated T-Level:25.699
DigitsB1CompleteFacMiss
201100015.2080.000%
25500001.68818.498%
302500000.14086.948%
3510000000.00999.061%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.81
25000040000000449.52


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2004-06-04ANONYMOUSv4_computersAB950B5E8819E4450.034


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-3
21859872824368678263551
B396037037EC0888
2017-10-17Oliver KruseThreadripper-PC
21859872824368678263551
B396037037EC0888
2018-01-06ATHec2-1xh
21859872824368678263551
B396037037EC0888


CERT results:
No CERT results for M1147301


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 9000 (P-1 stage 1)
B1 = 8000 (P-1 stage 1)
B1 = 7000 (P-1 stage 1)
B1 = 6000 (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)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00