is 2 444461 - 1
has 133797 decimal digits
takes 0.005 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
Actualunknown30000001000000000.141543.2883%0.141543.2883%43.2883%
PrimeNet2400.000052.5000%45001500000.000218.3298%0.000261.2067%8.7067%
GPU722440.000056.8182%80002400000.000413.6295%0.000462.7037%5.8855%
Difference-440.0000-56.8182%+2992000+99760000+0.1411+29.6588%+0.1411-19.4153%-19.4153%

Known prime factors (3 factors, 194.6 bits, 0.04378331% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
444461723521563507691446.04081393144
23 × 3 × 7 × 17 × 28499
-17284993.298e-52.679e-54.953e-5
444461683348638339157840712065.88976873858261935
3 × 5 × 7 × 70823 × 10337489
2014-11-26708231033748919.0900.01080.0180
44446176960953688655706325574472582.6708657784787490432943
3 × 10613 × 4362511 × 62331967
2020-07-044362511623319673,178,2200.12840.1516

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
444461494417475231998475212611273880059934111.929
44446155682909541859098587742242951727512674339128.711
44446152591162908425863840536077622073585495502673745148.560
44446138050840414191914372508572452213765126670762566314
745510753
59194.600
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2014-11-26T19:12:00alpertronManual testing3000000100000000122065.8890.1410.0100.28334.780%


Trial Factoring results:
No TF results for M444461


ECM factoring results:

Old Calculation Method

Total ECM effort:15.136 GHz-days
Estimated T-Level:26.398
DigitsB1CurvesCompleteFacMiss
2011000460 / 1004.6000.982%
2550000460 / 2801.64319.286%
30250000179 / 6400.28075.585%

New Calculation Method

Total ECM effort:15.136 GHz-days
Estimated T-Level:26.398
DigitsB1CompleteFacMiss
201100023.9810.000%
25500002.9765.100%
302500000.28375.336%
3510000000.02297.856%
4030000000.00199.862%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002813.617
250000250000001449.267
25000025000000352.252


Lucas-Lehmer results:
No L-L results for M444461


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T14:17:43Oliver KruseDoppelherz
72352156350769
68334863833915784071
CCEFAC14543838__no
2017-09-24T17:48:08Oliver KruseManual testing
72352156350769
68334863833915784071
CCEFAC14543838__no
2017-11-09T03:13:37kkmrkkblmbrbkc4.large
72352156350769
68334863833915784071
CCEFAC14543838__no
2020-04-18T19:08:48Oliver KruseAddPrpType5
72352156350769
68334863833915784071
CA97F81F4AAA0E__no
2020-07-05T17:56:05mnd9mnd
72352156350769
68334863833915784071
7696095368865570632557447
CA97F81F4AAA0E33no
2020-07-08T15:47:55Klaus Nordmannno1
72352156350769
68334863833915784071
7696095368865570632557447
CA97F81F4AAA0E33no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
240
250
260
270
280
290
2100
Last modified: 2020-08-07T11:03:31+00:00