is 2 6968443 - 1
has 2097711 decimal digits
takes 1.520 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L39B3F635B91A1A4Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.237868.0556%20000002588493605.05696.9828%142.294770.2862%
Target2674.264165.6716%450009000000.02902.2389%4.293066.4402%
Difference+5+132.9737+2.3839%+1955000+257949360+5.0280+4.7439%+138.0017+3.8460%

Known prime factors:
No known factors for M6968443

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers35000288750---0.015--0.756%
2011-12-10James HeinrichQ66001350002835000---0.089--2.034%
2020-01-27takahashivaio6000001200000012---0.386--3.585%
2021-12-07Seth_TrManual testing2000000258849360---5.057--6.983%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15ANONYMOUSv4_computers21262--0.088--
2005-08-01ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-15lycornManual testing264265--0.536--
2015-06-26VictordeHollanderManual testing265266--1.072--
2016-04-25Gordon SpenceManual testing266267--2.145--
2018-02-27-Anonymous-Manual testing267268--4.289--
2020-04-24TJAOIManual testing268269--8.579--
2021-08-07takahashiManual testing269270--17.16--
2021-09-06SRBaseManual testing270271--34.32--
2021-09-26SRBaseManual testing271272--68.63--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers39B3F635B91A1A4D1.520
2001-10-20ANONYMOUSv4_computers39B3F635B91A1A4D1.520


PRP results:
No PRP results for M6968443


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 288750 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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109
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2023-04-26T21:34:10+00:00