is 2 1413017 - 1
has 425361 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-LF8FF0C74F45519A6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.028768.6567 %2500000625000000.31947.3873 %21.348170.9721 %
Target2600.108765.0000 %60003500000.00141.2451 %0.110165.4358 %
Difference+7+20.9200+3.6567 %+2494000+62150000+0.3180+6.1422%+21.2380+5.5363 %

Known prime factors (2 factors, 145.5 bits, 0.01029864% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
141301722266945324901858247272270.915787922060559139
11 × 3919 × 18277437671
2016-09-02391918277437671169.1155.130102.97
1413017287533449046107063916732374.60610174451158270108
22 × 21560809 × 117973903
2018-12-21215608091179739032,707.61.48452.4293

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Xyzzyv4_computers15000232500--0.0012.353%
2003-09-21Team Prime Ribv4_computers15000232500--0.0012.353%
2009-07-15markrlounge20000050000006--0.0307.169%
2014-11-06JossManual testing245423245423--0.0163.263%
2015-01-14JossManual testing368134368134--0.0243.801%
2015-02-14JossManual testing404947404947--0.0263.933%
2015-02-23alpertronManual testing20000006000000012--0.33412.601%
2016-08-15Bruno Victal5820K.ECM25000006250000012--0.31912.799%
2016-08-27Bruno VictalManual testing25000006250000012---12.799%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2016-02-23Mark RoseManual testing2582600.082
2009-02-17Sturle Sundegicy.ifi2602610.109
2016-02-23Mark RoseManual testing2612620.217
2011-05-07GrunwalderGIMPManual testing212631.129
2016-02-23Mark RoseManual testing2622630.695
2015-03-11snme2pm1Manual testing2632641.389
2015-03-11snme2pm1Manual testing2642652.644
2015-09-27ramgeisManual testing2652665.289


ECM factoring results:
Total ECM effort:29.218 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000022111.69
50000500000020.094
500005000000281.544
250000350000005015.89


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14ANONYMOUSv4_computersF8FF0C74F45519A60.054
2015-07-19MadPooManual testingF8FF0C74F45519A60.063


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-2
2226694532490185824727
7ECCCBE60ED93541
2017-10-26kkmrkkblmbrbkc4.xlarge
2226694532490185824727
7ECCCBE60ED93541
2018-12-23Oliver KruseGTX-3
2226694532490185824727
28753344904610706391673
18902F3ED8A69F0D
2018-12-24kkmrkkblmbrbkc5.large
2226694532490185824727
28753344904610706391673
18902F3ED8A69F0D


CERT results:
No CERT results for M1413017


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 = 404947 (P-1 stage 1)
B1 = 368134 (P-1 stage 1)
B1 = 245423 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
266
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
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Last modified: 2024-02-09T03:30:02+00:00