is 2 2142403 - 1
has 644928 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3204C279A25FFCD7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.869467.1642 %25000001250000000.87468.5826 %14.744169.9824 %
Target2620.286864.5161 %100007500000.00481.4879 %0.291665.0441 %
Difference+5+13.5827+2.6481 %+2490000+124250000+0.8698+7.0948%+14.4525+4.9383 %

Known prime factors (1 factor, 80.7 bits, 0.00376539% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214240319232266822540200648018492580.670448848018382633908
22 × 3 × 107 × 254783 × 1372030739
2018-07-242547831372030739210,4827.149613.311

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.774%
2010-11-02ANONYMOUSManual testing2000020000--0.0020.710%
2010-12-30JossManual testing3000030000--0.0030.933%
2011-01-13JossManual testing5000050000--0.0051.270%
2011-01-24James Heinrichi7-92013000026325006--0.0255.163%
2014-10-28JossManual testing159959159959--0.0152.282%
2016-06-03JossManual testing17595452650006--0.0436.147%
2016-11-12JossManual testing211144211144---2.574%
2017-04-22JossManual testing35190835190806---6.087%
2017-04-27JossManual testing42228942228906--0.0606.419%
2017-11-02mikrMSI250000012500000012--0.87512.581%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29ANONYMOUSv4_computers212580.018
2016-02-23Mark RoseManual testing2582600.054
2009-01-04Sturle Sundefoster.ifi2602610.072
2009-01-06Sturle Sundeginjtje.ifi2612620.143
2013-09-07ramgeisManual testing2622630.458
2015-03-18VictordeHollanderManual testing2632652.660
2015-12-27ramgeisManual testing2652663.488
2016-10-29Gordon SpenceManual testing2662676.976


ECM factoring results:
Total ECM effort:20.024 GHz-days
Estimated T-Level:22.008
DigitsB1CompleteFacMiss
20110004.2311.454%
25500000.40266.919%
302500000.02697.460%
3510000000.00199.878%


ECM Summary

B1B2factorcurvesGHz-days
500005000000433.531
50000500000020.171
54166389147855016.32


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29ANONYMOUSv4_computers3204C279A25FFCD70.141
2018-04-07kkmrkkblmbrbkold3204C279A25FFCD70.141


PRP results:
dateuseridcompidcofactorsres64
2018-07-24ATHec2-PRPCF
1923226682254020064801849
74E8ABE2DFD3DB57
2018-07-24kkmrkkblmbrbkc5.large
1923226682254020064801849
74E8ABE2DFD3DB57


CERT results:
No CERT results for M2142403


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 422289, B2 = 4222890 (P-1 stage 2)
B1 = 351908, B2 = 3519080 (P-1 stage 2)
B1 = 175954, B2 = 5265000 (P-1 stage 2)
B1 = 422289 (P-1 stage 1)
B1 = 351908 (P-1 stage 1)
B1 = 130000, B2 = 2632500 (P-1 stage 2)
B1 = 211144 (P-1 stage 1)
B1 = 175954 (P-1 stage 1)
B1 = 159959 (P-1 stage 1)
B1 = 130000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=22.01 ~= 57-bit
250
260
270
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290
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Last modified: 2024-03-13T02:15:48+00:00