is 2 5143349 - 1
has 1548303 decimal digits
takes 0.713 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L1590909F75D3486Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26811.588766.1765 %30500096837500.16404.5097 %11.752767.7018 %
Target2651.418564.6154 %3600040000000.05062.5417 %1.469165.5148 %
Difference+3+10.1703+1.5611 %+269000+5683750+0.1134+1.9679%+10.2836+2.1870 %

Known prime factors (1 factor, 72.1 bits, 0.00140159% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
514334950209818463051434725292272.088488104331079336
23 × 3 × 23 × 17123 × 51640891
2019-05-011712351640891262.260.56871.0562

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-09-22USAFSSP4_26006000010650006--0.0233.023%
2019-05-01USAFSSP4_260030500096837501222272.0880.1646.070%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-02-08ANONYMOUSv4_computers212610.030
2008-10-10Sturle Sunderumblebuffin.ifi2612620.095
2009-11-06S485122USB-W2622630.191
2014-12-16VictordeHollanderManual testing2632651.108
2015-08-07snme2pm1Manual testing2652661.453
2016-05-28Gordon SpenceManual testing2662672.906
2018-06-20ramgeisManual testing2672685.812


ECM factoring results:
Total ECM effort:1.660 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.660


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-14ANONYMOUSv4_computers1590909F75D3486E0.713
2000-05-31ANONYMOUSv4_computers1590909F75D3486E0.713


PRP results:
dateuseridcompidcofactorsres64
2019-05-02artorollofourth
5020981846305143472529
F25971FDB138745E
2019-05-02ATHec2-PRPCFDC
5020981846305143472529
F25971FDB138745E


CERT results:
No CERT results for M5143349


P-1 factor-bounds graph:
B1 = 305000, B2 = 9683750 (P-1 stage 2)
B1 = 305000 (P-1 stage 1)
B1 = 60000, B2 = 1065000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00