is 2 20109319 - 1
has 6053509 decimal digits
takes 14.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2671.477662.6866%----1.477662.6866%0.0000%
PrimeNet2650.362861.5385%9000032000000.26665.0007%0.629463.4618%1.9233%
GPU722695.936963.7681%14000040000000.36003.6303%6.296965.0834%1.3153%
Difference-2-4.4593-1.0815%-140000-4000000-0.3600-3.6303%-4.8192-2.3969%-2.3969%

Known prime factors (4 factors, 186.2 bits, 0.00092587% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
20109319128699641611133.583320
26 × 5
-64646.085e-116.577e-50.0001
20109319412241039511135.2631025
52 × 41
2008-09-0825412.781e-102.659e-55.228e-5
20109319158537252287612091753.816394188516
22 × 32 × 19 × 576299
2014-10-14195762997.098e-50.03230.0603
20109319132750859058207812572063.525330072985212
22 × 3 × 31 × 4003 × 221657
2017-03-0740032216570.08850.01630.0232

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
201093195305527404187085001112168.846
201093192040368755124982862570306492787.399
201093196535556168410433347724367592789.078
201093191708498798421096760666105303773097.109
201093195472535213400108825146004464073098.788
2010931921045956433908326672805438267585971336117.341
20109319841123736596447575236918617896899419937122.662
20109319704313320662698875331288930449269121952740132.371
20109319270860705038367529438486363829729378617374579346150.924
20109319867600695779654119964197351941077434700502606346152.604
2010931911165989860742812476915214522612770368321286311768
0928143
57186.187
P-1 results:
No P-1 results for M20109319


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08T16:25:00Will EdgingtonManual testing??35.263115.05008e-1129.411.04231e-10
2014-10-14T11:47:00TJAOIManual testing253254*53.816171.13141e-529.412.33515e-5
2022-06-24T02:43:39LordJuliusManual testing2126333.583116.08473e-1129.411.25586e-10
2022-06-24T02:43:39LordJuliusManual testing2126353.816177.09841e-529.410.000
2022-06-24T02:43:39LordJuliusManual testing2126335.263112.78124e-1029.415.74033e-10
2017-03-07T17:21:57TJAOIManual testing263264*63.525200.00929.240.019


ECM factoring results:
No ECM results for M20109319


Lucas-Lehmer results:
No L-L results for M20109319


PRP results:
No PRP results for M20109319


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
TF factor-bounds graph:
267
264
263
254
2
230
240
250
260
270
280
290
2100
Last modified: 2022-06-24T02:43:39+00:00