is 2 3444443 - 1
has 1036881 decimal digits
takes 0.362 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB8B8F19AB10E3897double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271138.797069.0141 %300000002000000005.97928.1230 %144.776271.5311 %
Target2641.033465.6250 %1900017000000.01681.8542 %1.050266.2624 %
Difference+7+137.7636+3.3891 %+29981000+198300000+5.9624+6.2688%+143.7260+5.2687 %

Known prime factors (1 factor, 89.6 bits, 0.00260244% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
34444439643591011689196412666679832789.640139987670164511307237
32 × 11 × 1414016870348599063
2016-11-0411141401687034859906369,936,6781.173e+102.191e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-03-31Never Odd Or EvenP3444443100000100000--0.0151.520%
2011-03-31Never Odd Or EvenP3444443250000250000--0.0382.335%
2011-03-31Never Odd Or EvenP3444443380000380000--0.0582.773%
2011-04-01Never Odd Or EvenP3444443700000700000--0.1073.485%
2011-04-02Never Odd Or EvenP344444310000001000000--0.1523.939%
2011-04-03Never Odd Or EvenP34444431000000010000000--1.5237.471%
2011-04-06Never Odd Or EvenP34444431500000015000000--2.2848.176%
2011-04-07Never Odd Or EvenP34444432625000026250000--3.9989.178%
2011-04-07Never Odd Or EvenP34444433000000030000000--4.5699.421%
2011-04-12Never Odd Or EvenP34444433000000020000000012--5.97913.139%
2020-06-01JossManual testing34444434444436---5.256%
2020-09-15JossManual testing34444468888866---6.059%
2022-01-06JossManual testing1333332111642300--1.17110.690%
2022-09-03JossManual testing1333332213444000--2.05511.609%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212620.178
2011-08-27Richard B. WoodsPuttputt2622630.285
2011-09-15Richard B. WoodsPuttputt2632640.570
2012-02-15Richard B. WoodsPuttputt2642651.085
2012-03-12Richard B. WoodsPuttputt2652662.170
2021-04-10JossManual testing267268
2014-04-07ramgeisManual testing26627065.09
2016-01-08ramgeisManual testing27027169.42


ECM factoring results:
Total ECM effort:39.144 GHz-days
Estimated T-Level:24.911
DigitsB1CompleteFacMiss
201100010.6150.002%
25500000.98237.448%
302500000.06293.993%
3510000000.00399.711%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.993
50000500000024636.15


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-12Stephan Gruppv4_computersB8B8F19AB10E38970.362


PRP results:
dateuseridcompidcofactorsres64
2017-11-06kkmrkkblmbrbkc4.xlarge
964359101168919641266667983
93B6589F4D9ED959
2017-11-22Oliver KruseGTX-3
964359101168919641266667983
93B6589F4D9ED959


CERT results:
No CERT results for M3444443


P-1 factor-bounds graph:
B1 = 30000000, B2 = 200000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 26250000 (P-1 stage 1)
B1 = 15000000 (P-1 stage 1)
B1 = 1333332, B2 = 213444000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 1333332, B2 = 111642300 (P-1 stage 2)
B1 = 1333332 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 344444, B2 = 6888886 (P-1 stage 2)
B1 = 700000 (P-1 stage 1)
B1 = 344444, B2 = 3444443 (P-1 stage 2)
B1 = 380000 (P-1 stage 1)
B1 = 344444 (P-1 stage 1)
B1 = 250000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=24.91 ~= 66-bit
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Last modified: 2024-03-13T02:15:48+00:00