is 2 1408289 - 1
has 423938 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-LFF4F23CDC06B88DFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.099368.6567 %2000000600000000.28577.2071 %21.385070.9156 %
Target2600.109165.0000 %60003500000.00141.2442 %0.110465.4355 %
Difference+7+20.9902+3.6567 %+1994000+59650000+0.2843+5.9629%+21.2745+5.4802 %

Known prime factors (1 factor, 76.7 bits, 0.00544392% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14082891198932574929009261308472476.66642566993526506607
34 × 19 × 31 × 892221457723
2015-06-258189222145772310,8672,691.25,026.4

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Team Prime Ribv4_computers15000228750--0.0012.341%
2003-09-21Xyzzyv4_computers15000228750--0.0012.341%
2009-07-11markrlounge20000050000006--0.0307.166%
2014-11-06JossManual testing245576245576--0.0163.262%
2015-01-13JossManual testing368364368364--0.0243.800%
2015-02-13JossManual testing405200405200--0.0263.932%
2015-02-15alpertronManual testing20000006000000012--0.33412.597%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-25ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2009-02-18Sturle Sundehaydn.ifi2602610.109
2011-01-14BloodIceMjolnir42612620.218
2011-04-05GrunwalderGIMPManual testing212631.133
2015-03-09snme2pm1Manual testing2632641.394
2015-03-09snme2pm1Manual testing2642652.653


ECM factoring results:
Total ECM effort:29.329 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024813.31
50000500000030.141
250000350000005015.88


Lucas-Lehmer results:
No L-L results for M1408289


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-3
119893257492900926130847
A4B7FF0B2DF0E9F7
2017-10-26Chang Chia-Tchehomura
119893257492900926130847
A4B7FF0B2DF0E9F7


CERT results:
No CERT results for M1408289


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 405200 (P-1 stage 1)
B1 = 368364 (P-1 stage 1)
B1 = 245576 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 228750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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264
263
262
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258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00