is 2 1909777 - 1
has 574901 decimal digits
takes 0.104 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L806510DC11F112F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26715.558868.6567 %1000000300000000.20296.2214 %15.761870.6067 %
Target2610.160865.5738 %100008500000.00441.7597 %0.165266.1796 %
Difference+6+15.3980+3.0829 %+990000+29150000+0.1986+4.4617%+15.5966+4.4271 %

Known prime factors (1 factor, 79.6 bits, 0.00416558% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19097778869719385181039102514972479.553232218719389254324
22 × 3 × 18181 × 1064383694467
2016-08-2118181106438369446775,2654,561.78,520.0

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-06-15kurlykurlytop10000003000000012--0.20310.440%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-01-09ANONYMOUSv4_computers212580.020
2011-04-14GrunwalderGIMPv4_computers212610.161
2009-05-27Architects Cubedi4l_12602610.080
2011-03-07GrunwalderGIMPGWPrime022612630.675
2015-05-18omylistManual testing2632641.028
2015-05-19monstManual testing2642651.956
2015-09-01ramgeisManual testing2652663.913


ECM factoring results:
Total ECM effort:39.152 GHz-days
Estimated T-Level:25.703
DigitsB1CompleteFacMiss
201100015.1190.000%
25500001.68018.631%
302500000.14186.886%
3510000000.01099.050%


ECM Summary

B1B2factorcurvesGHz-days
500005000000271.767
50000500000010.069
50000660000021516.84
50000670000070.552
50000675000070.554
250000400000004519.37


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-27ANONYMOUSv4_computers806510DC11F112F60.104
2015-07-14MadPooManual testing806510DC11F112F60.104


PRP results:
dateuseridcompidcofactorsres64
2017-10-04Oliver KruseGTX-2
886971938518103910251497
29A616F3340481DC
2017-11-09kkmrkkblmbrbkold
886971938518103910251497
29A616F3340481DC


CERT results:
No CERT results for M1909777


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
266
265
264
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00