is 2 1409633 - 1
has 424342 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-L89B6C0628632AAE2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.079268.6567 %2500000625000000.31947.3855 %21.398670.9716 %
Target2600.109065.0000 %60003500000.00141.2445 %0.110365.4356 %
Difference+7+20.9702+3.6567 %+2494000+62150000+0.3180+6.1410%+21.2882+5.5360 %

Known prime factors (2 factors, 170.6 bits, 0.01210044% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
140963345622706915056202803509532581.9161618247689826224372
22 × 404561922456556093
2016-06-094404561922456556093347,4191.220e+92.279e+9
14096334875745585228455758896602072788.656172943794066556889591
3 × 17 × 728139949 × 4657147009
2019-01-11728139949465714700944,469,64952.16282.040

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Xyzzyv4_computers15000228750--0.0012.341%
2003-09-21Team Prime Ribv4_computers15000228750--0.0012.341%
2009-07-13markrlounge20000050000006--0.0307.167%
2014-11-06JossManual testing245532245532--0.0163.262%
2015-01-13JossManual testing368298368298--0.0243.800%
2015-02-14JossManual testing405127405127--0.0263.933%
2015-02-16alpertronManual testing20000006000000012--0.33412.598%
2016-08-27Bruno VictalManual testing25000006250000012---12.797%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-25ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2016-02-23Mark RoseManual testing2582600.082
2009-04-14Sturle Sundehaydn.ifi2602610.109
2016-02-23Mark RoseManual testing2612620.218
2011-04-05GrunwalderGIMPManual testing212631.132
2016-02-23Mark RoseManual testing2622630.696
2015-03-10snme2pm1Manual testing2632641.393
2015-03-10snme2pm1Manual testing2642652.651
2015-09-27ramgeisManual testing2652665.301


ECM factoring results:
Total ECM effort:29.222 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001306.697
50000500000030.141
5000050000001186.503
250000350000005015.88


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers89B6C0628632AAE20.054
2016-06-02MadPooManual testing89B6C0628632AAE20.063


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-1
4562270691505620280350953
62AECADA9FF2EE25
2017-10-26Chang Chia-Tchehomura
4562270691505620280350953
62AECADA9FF2EE25
2019-01-12Oliver KruseGTX-1
4562270691505620280350953
487574558522845575889660207
4266C3FAED4F72E2
2019-01-12ATHec2-PRPCFDC
4562270691505620280350953
487574558522845575889660207
4266C3FAED4F72E2


CERT results:
No CERT results for M1409633


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 = 405127 (P-1 stage 1)
B1 = 368298 (P-1 stage 1)
B1 = 245532 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
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
260
270
280
290
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00