is 2 142427 - 1
has 42875 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5193E30ADE7B943Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267208.625673.1343 %10000000020000000000.942712.0310 %209.568376.3665 %
Target2440.000059.0909 %24002250000.00016.7811 %0.000161.8650 %
Difference+23+208.6256+14.0434 %+99997600+1999775000+0.9426+5.2499%+209.5682+14.5015 %

Known prime factors (1 factor, 69.7 bits, 0.04896868% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1424279890571557850498867372169.7453472154703058584
23 × 3 × 144673112627441
2008-03-038144673112627441838.2336,51068,190

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-11-25ANONYMOUSv4_computers100000025000000--0.01128.051%
2002-06-02ANONYMOUSv4_computers32768327680012--0.00119.631%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00222.229%
2003-02-09ANONYMOUSv4_computers1310721310720030--0.00424.787%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00827.297%
2017-04-01kkmrkkblmbrbkManual testing100000000200000000012---41.429%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-15ANONYMOUSv4_computers2522530.004
2000-04-27ANONYMOUSv4_computers212540.017
2022-03-07LordJuliusManual testing254255
2001-01-08ANONYMOUSv4_computers212560.067
2002-06-29ANONYMOUSv4_computers212570.135


ECM factoring results:
Total ECM effort:12.786 GHz-days
Estimated T-Level:30.489
DigitsB1CompleteFacMiss
201100068.2900.000%
255000010.1490.004%
302500001.11632.758%
3510000000.09890.681%
4030000000.00799.287%


ECM Summary

B1B2factorcurvesGHz-days
10.006
5000050000002640.883
2500002500000059010.06
1000000100000000271.840


Lucas-Lehmer results:
No L-L results for M142427


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
989057155785049886737
D52D10BB8FA791CF
2017-09-22Oliver KruseManual testing
989057155785049886737
D52D10BB8FA791CF
2017-10-13kkmrkkblmbrbkManual testing
989057155785049886737
D52D10BB8FA791CF
2020-04-17Oliver KruseAddPrpType5
989057155785049886737
6619BDBEB48E4B7A
2024-02-03Wentao HuangManual testing
989057155785049886737
6619BDBEB48E4B7A


CERT results:
dateuseridcompid
2024-02-03Chun sung soogaeun_son


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.49 ~= 85-bit
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Last modified: 2024-02-29T14:28:04+00:00