is 2 1406857 - 1
has 423507 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDF2BB22B0724E4D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.120868.6567 %2500000625000000.31947.3840 %21.440270.9711 %
Target2600.109265.0000 %60003500000.00141.2439 %0.110565.4354 %
Difference+7+21.0116+3.6567 %+2494000+62150000+0.3180+6.1401%+21.3296+5.5357 %

Known prime factors (2 factors, 155.0 bits, 0.01101469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1406857769727234424213894118332376.02727356271263682588
22 × 33 × 47 × 5389336340363
2016-06-2547538933634036310,87816,25630,361
14068575774864951809078016886732478.934205239940939593648
24 × 34 × 11 × 14396741087233
2019-01-11811439674108723343,51343,42481,105

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Xyzzyv4_computers15000228750--0.0012.340%
2003-09-21Team Prime Ribv4_computers15000228750--0.0012.340%
2010-05-31Rob_Deetwopc200000300000--0.0133.517%
2010-06-01Rob_Deetwopc20000010000006--0.0165.056%
2010-06-02Rob_Deetwopc20000020000006--0.0195.957%
2010-06-03Rob_Deetwopc20000030000006--0.0236.490%
2010-06-04Rob_Deetwopc20000040000006--0.0266.870%
2010-06-05Rob_Deetwopc20000050000006--0.0307.165%
2014-11-06JossManual testing245622245622--0.0163.262%
2015-01-13JossManual testing368433368433--0.0243.800%
2015-02-12alpertronManual testing20000006000000012--0.33412.596%
2016-08-27Bruno VictalManual testing25000006250000012---12.795%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-25ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2016-02-23Mark RoseManual testing2582600.082
2009-02-15Sturle Sundehaydn.ifi2602610.109
2016-02-23Mark RoseManual testing2612620.218
2011-04-05GrunwalderGIMPManual testing212631.134
2016-02-23Mark RoseManual testing2622630.698
2015-03-09snme2pm1Manual testing2632641.396
2015-03-09snme2pm1Manual testing2642652.656
2015-09-26ramgeisManual testing2652665.312


ECM factoring results:
Total ECM effort:29.278 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6430.000%
25500001.65019.198%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020010.58
50000500000030.141
500005000000442.424
500001274659930.263
250000350000005015.87


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07Dry Creek Photov4_computersDF2BB22B0724E4D50.054
2016-06-02MadPooManual testingDF2BB22B0724E4D50.063


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-1
76972723442421389411833
235E0C6C224E36F6
2017-10-26kkmrkkblmbrbkold
76972723442421389411833
235E0C6C224E36F6
2019-01-14ANONYMOUSpepe
76972723442421389411833
577486495180907801688673
F8BB0CC122AC9852
2019-01-14ATHec2-PRPCFDC
76972723442421389411833
577486495180907801688673
F8BB0CC122AC9852


CERT results:
No CERT results for M1406857


P-1 factor-bounds graph:
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 368433 (P-1 stage 1)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 245622 (P-1 stage 1)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000, B2 = 300000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00