is 2 289369 - 1
has 87109 decimal digits
takes 0.002 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
Actual267102.685271.6418%50000500000.00050.3959%102.685771.7541%0.1123%
PrimeNet2400.000052.5000%3000800000.000115.0797%0.000159.6629%7.1629%
GPU722440.000056.8182%55001400000.000111.1847%0.000161.6480%4.8298%
Difference+23+102.6852+14.8236%+44500-90000+0.0004-10.7888%+102.6856+10.1061%+10.1061%

Known prime factors (4 factors, 260.8 bits, 0.09012478% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28936910900987433031339.9881883579
29 × 64951
-29649514.305e-73.533e-56.549e-5
289369385590969521991445.13266626171
599 × 111229
2008-07-215991112292.023e-56.566e-50.0001
28936983381369507418404288623432582.78614407446807954273659
67 × 215036519521705577
2019-03-15672150365195217055775,450,173116,083,881216,812,363
28936991602888358465609494295269132892.88715828041075316569759424
26 × 3 × 31 × 17077 × 212209 × 733818859
2020-06-282122097338188595.600e+90.39810.7399

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
289369420332231304906673623732972685.120
289369908939261149198866508419867428013892937122.774
28936932151103108436756267261396904422214225739127.918
289369998561934824883694910752182262311701363940132.875
28936935321246533155365412316376295879674503168742138.020
28936935047877094312084943795357966914950130752219205487
1
51167.906
28936976379742821640166981352765246928052859791345290737
159
53175.673
28936938503646457688109359217834238385291272804890761404
2161
54178.007
28936983261461663676281299639724430600242903715300760228
324192384496177
65215.661
28936929451339086436488111129568444988842106734140280751
41219142896062641
67220.806
28936932104867726714939782467042769687060668407977313573
22603041926324664900867243223
79260.793
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-06T16:48:20Lisander ViaeneManual testing5000050000---0.000--0.396%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:15:00J FeitsmaManual testing??45.132144.03548e-60.0048.38544e-6


ECM factoring results:

Old Calculation Method

Total ECM effort:8.382 GHz-days
Estimated T-Level:26.344
DigitsB1CurvesCompleteFacMiss
2011000453 / 1004.5301.054%
2550000453 / 2801.61819.775%
30250000172 / 6400.26976.417%

New Calculation Method

Total ECM effort:8.382 GHz-days
Estimated T-Level:26.344
DigitsB1CompleteFacMiss
201100023.3980.000%
25500002.8955.532%
302500000.27575.993%
3510000000.02197.927%
4030000000.00199.867%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.056
250000250000001284.684
25000025000000341.244
2500002500000030.110
2500003425000070.288


Lucas-Lehmer results:
No L-L results for M289369


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T12:54:49Oliver KruseOllaptop
1090098743303
38559096952199
A999A2D4245936__no
2017-09-22T20:36:33Oliver KruseManual testing
1090098743303
38559096952199
A999A2D4245936__no
2017-10-12T20:02:11Oliver KruseGTX-0A999A2D4245936__no
2017-11-06T21:10:43kkmrkkblmbrbkc4.xlarge
1090098743303
38559096952199
A999A2D4245936__no
2019-03-16T12:28:53ANONYMOUSdory
1090098743303
38559096952199
8338136950741840428862343
AFC16ABE35E7A842no
2019-03-17T10:46:03ANONYMOUS
1090098743303
38559096952199
8338136950741840428862343
AFC16ABE35E7A842no
2019-04-09T08:47:45kkmrkkblmbrbkc5.large
1090098743303
38559096952199
8338136950741840428862343
AFC16ABE35E7A842no
2020-06-29T15:46:58treborLaptop
1090098743303
38559096952199
8338136950741840428862343
9160288835846560949429526913
AFC16ABE35E7A842no


P-1 factor-bounds graph:
B1 = 50000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2022-05-22T21:47:00+00:00