is 2 978389 - 1
has 294525 decimal digits
takes 0.024 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA16E41BCF4BF234Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26730.370270.1493 %830000249000000.07535.4739 %30.445571.7832 %
Target2440.000054.5455 %1600032500000.006818.4345 %0.006862.9248 %
Difference+23+30.3702+15.6038 %+814000+21650000+0.0685-12.9606 %+30.4388+8.8585 %

Known prime factors (1 factor, 72.8 bits, 0.00744493% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
97838984556124249691822145132272.8404321191481593304
23 × 31 × 126433 × 137813381
2014-01-08126433137813381977.460.26820.4931

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-08ANONYMOUSv4_computers2000200000--0.00012.298%
2002-03-03ANONYMOUSv4_computers4096409600--0.00115.227%
2002-05-05ANONYMOUSv4_computers8192819200--0.00218.029%
2002-08-03ANONYMOUSv4_computers32768327680012--0.00723.513%
2003-01-25ANONYMOUSv4_computers65536655360012--0.01526.179%
2003-09-14ANONYMOUSv4_computers1310721310720012--0.02928.786%
2011-06-01JossManual testing200000200000--0.00715.673%
2011-06-16JossManual testing400000400000--0.01417.835%
2012-02-06JossManual testing683538683538--0.02419.504%
2013-10-13David Campeaui5-2500k8300002490000012--0.07531.839%
2016-03-17alpertronManual testing20000050000006---26.361%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-07-03ANONYMOUSv4_computers212550.005
2000-10-28ANONYMOUSv4_computers212560.010
2001-11-24ANONYMOUSv4_computers212570.020
2003-08-31ANONYMOUSv4_computers212580.039
2022-03-07LordJuliusManual testing258260
2010-05-16Architects Cubeda3_bu22602610.157
2013-12-15lycornsnail2612620.314


ECM factoring results:
Total ECM effort:14.094 GHz-days
Estimated T-Level:25.651
DigitsB1CompleteFacMiss
201100014.5770.000%
25500001.59820.223%
302500000.13087.796%
3510000000.00999.136%


ECM Summary

B1B2factorcurvesGHz-days
10.170
5000050000002757.683
25000025000000446.241


Lucas-Lehmer results:
No L-L results for M978389


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
8455612424969182214513
26600283DB88066B
2017-10-15kkmrkkblmbrbkc4.xlarge
8455612424969182214513
26600283DB88066B
2020-04-24Oliver KruseAddPrpType5
8455612424969182214513
6603882B444D0E4A


CERT results:
No CERT results for M978389


P-1 factor-bounds graph:
B1 = 830000, B2 = 24900000 (P-1 stage 2)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 830000 (P-1 stage 1)
B1 = 683538 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
TF factor-bounds graph:
262
261
260
258
257
256
255
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=25.65 ~= 69-bit
250
260
270
280
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Last modified: 2024-03-03T02:29:32+00:00