is 2 444343 - 1
has 133761 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
Actual26766.871671.6418%30000001000000000.14157.1916%67.013173.6812%2.0394%
PrimeNet2400.000052.5000%45001500000.000218.3292%0.000261.2064%8.7064%
GPU722440.000056.8182%80002400000.000413.6290%0.000462.7035%5.8853%
Difference+23+66.8716+14.8236%+2992000+99760000+0.1411-6.4374%+67.0127+10.9778%+10.9778%

Known prime factors (1 factor, 94.7 bits, 0.02131473% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
444343324120814892547997656520672812994.71136471916390327742043480
23 × 3 × 5 × 1268291 × 239639512214519
2007-08-1612682912396395122145191.759e+10222,971416,448

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.721%
2002-09-07T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.449%
2016-03-17T18:48:13alpertronManual testing300000010000000012---0.141--7.192%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.022--
2002-02-17T00:00:00ANONYMOUSv4_computers21257--0.043--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.086--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.884 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.884 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002813.617
250000250000001449.267


Lucas-Lehmer results:
No L-L results for M444343


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-24T14:11:35Oliver KruseDoppelherz
32412081489254799765652067281
C8281082595B48__no
2017-09-24T17:48:07Oliver KruseManual testing
32412081489254799765652067281
C8281082595B48__no
2017-11-09T03:10:56kkmrkkblmbrbkc4.large
32412081489254799765652067281
C8281082595B48__no
2020-04-18T19:08:26Oliver KruseAddPrpType5
32412081489254799765652067281
151C7626F82F2D__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2020-08-07T11:03:31+00:00