is 2 440371 - 1
has 132565 decimal digits
takes 0.005 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LDA7AA1FBF0F023F9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26767.474771.6418 %30000001000000000.14157.1851 %67.616273.6794 %
Target2440.000056.8182 %800012000000.001213.6133 %0.001362.6967 %
Difference+23+67.4747+14.8236 %+2992000+98800000+0.1402-6.4282 %+67.6150+10.9827 %

Known prime factors (1 factor, 69.9 bits, 0.01587589% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
44037111113650641297750100472269.9131261850875886213
2549 × 6359 × 77848343
2009-11-26635977848343271.110.07250.1353

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-12-01ANONYMOUSv4_computers500001000000--0.00219.215%
2002-06-23ANONYMOUSv4_computers32768327680012--0.00421.861%
2002-08-31ANONYMOUSv4_computers65536655360012--0.00724.501%
2003-04-03ANONYMOUSv4_computers1310721310720030--0.01427.091%
2009-08-27Carsten Kossendeymother440371440371--0.00816.827%
2016-03-17alpertronManual testing300000010000000012
skipped known factor: 1111365064129775010047
---34.761%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-03-17ANONYMOUSv4_computers212560.022
2002-02-10ANONYMOUSv4_computers212570.044
2004-01-07ANONYMOUSv4_computers212580.087


ECM factoring results:
Total ECM effort:12.790 GHz-days
Estimated T-Level:26.434
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.011
5000050000002803.517
250000250000001449.262


Lucas-Lehmer results:
No L-L results for M440371


PRP results:
dateuseridcompidcofactorsres64
2017-09-24Oliver KruseDoppelherz
1111365064129775010047
7A31FCFE63FBBB3E
2017-09-24Oliver KruseManual testing
1111365064129775010047
7A31FCFE63FBBB3E
2017-11-09kkmrkkblmbrbkc4.large
1111365064129775010047
7A31FCFE63FBBB3E
2020-04-18Oliver KruseAddPrpType5
1111365064129775010047
1CEBB46ED3F8694E


CERT results:
No CERT results for M440371


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 440371 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
258
257
256
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=26.43 ~= 71-bit
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Last modified: 2024-02-29T14:28:04+00:00