is 2 4459409 - 1
has 1342416 decimal digits
takes 0.556 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
Actual2676.663265.6716%----6.663265.6716%0.0000%
PrimeNet2610.068962.2951%180003600000.00662.9443%0.075563.4052%1.1101%
GPU722651.636064.6154%260005500000.00992.0877%1.645965.3541%0.7387%
Difference+2+5.0272+1.0563%-26000-550000-0.0099-2.0877%+5.0173+0.3175%+0.3175%

Known prime factors (5 factors, 271.6 bits, 0.00609075% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4459409597560807929.15567
67
-1671.627e-118.311e-71.173e-6
445940932567562578114391651.532365155591
479 × 762329
2014-07-014797623296.772e-50.00760.0140
445940914356313871460112471960.316160966552647
3 × 461 × 7177 × 16217
2016-01-287177162170.04000.00140.0026
4459409281655112472711840632064.6113157986994159
443 × 7128638813
2017-11-2144371286388131.160770.239131.19
4459409736648033376383748812065.9988259480498160
24 × 5 × 58979 × 1750513
2019-08-215897917505132.62990.02730.0322

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
445940919461098976201035426712732580.687
44594098578770502574999075883963292789.471
4459409168306056304869452965318188412993.765
4459409440191993299354807680588889672995.152
4459409467550150399828879841399469925443334111.849
44594099172820500900889715394841451589665735116.143
445940923990830925030275535249832569206375936117.530
44594094043529198159651136110357631320515656138124.927
445940910575550379945189923017433109842828660739126.314
4459409207480684693427350679880452193194672150340130.608
4459409279389645185893118099932699258020128180743143141.003
44594095481318020984479885349341781448972068552219944145.297
445940914335980288161647948276246896669845332349351345146.684
44594092416254570780344047732572147230495811115250472747154.081
44594096319534419509204306166565204186200337650621184947155.469
4459409123982325382316995268141361676090328198233693292149159.763
445940913168789019749714011490035016545041021471223121170
1279
54176.459
445940934441989879686638623592718566502943432531410045509
7473
54177.846
445940967571401825032157040858386270050763559174686100206
72817
55182.141
445940929786578317242929074079330675297890177579770046052
14744241
58190.925
445940978691521938543780427251925969449130646384484155634
804122172153
62205.614
445940920581183267191380683031434145923382045418819439642
7113229540711
63207.0009
445940940378021404687488562286069272249254203386617680011
21535209483319
64211.295
445940917799291777020386712550607620350862219911940695593
34838976950562487
67220.079
445940997007625333471431574180361816090297178564801921906
66035775382312789172799
73242.457
445940957967954879422832762912497370374903566893006138249
69494205428325563824518632888793
82271.611
P-1 results:
No P-1 results for M4459409


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2014-07-01T11:23:00TJAOIManual testing??51.532164.51373e-71.1999.72887e-7
2016-01-28T12:35:33TJAOIManual testing260261*60.316190.0061.1300.011
2017-11-21T14:31:05TJAOIManual testing264265*64.611200.3631.1300.737
2019-08-21T12:17:06TJAOIManual testing265266*65.998200.9941.1302.019


ECM factoring results:

Old Calculation Method

Total ECM effort:0.553 GHz-days
Estimated T-Level:0.150
DigitsB1CurvesCompleteFacMiss
20110003 / 1000.03097.030%
25500003 / 2800.01198.932%

New Calculation Method

Total ECM effort:0.553 GHz-days
Estimated T-Level:0.150
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.553


Lucas-Lehmer results:
No L-L results for M4459409


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-20T06:32:17kkmrkkblmbrbkManual testing
597560807
3256756257811439
1435631387146011247
46E11743E67CC0F9no
2017-11-21T19:39:56storm55107700_Kaby_Lake
597560807
3256756257811439
1435631387146011247
28165511247271184063
1D4520467C0AE7__no
2018-01-01T04:46:49kkmrkkblmbrbkc4.xlarge
597560807
3256756257811439
1435631387146011247
28165511247271184063
1D4520467C0AE7__no
2019-08-22T05:02:04mnd927016b
597560807
3256756257811439
1435631387146011247
28165511247271184063
73664803337638374881
1D4520467C0AE7D0no


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
261
2
220
230
240
250
260
270
280
290
2100
Last modified: 2019-08-22T05:02:04+00:00