is 2 6986789 - 1
has 2103234 decimal digits
takes 1.524 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L040123E045D11CE0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.877468.0556%2000000580000001.59705.5237%138.474569.8201%
Target2674.252965.6716%450009000000.02902.2398%4.281866.4405%
Difference+5+132.6245+2.3839%+1955000+57100000+1.5681+3.2839%+134.1926+3.3795%

Known prime factors:
No known factors for M6986789

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22ANONYMOUSv4_computers2500087500---0.009--0.432%
2011-09-07Carsten Kossendeymother44500013572500---0.367--3.528%
2021-11-07Seth_TrManual testing20000005800000012---1.597--5.524%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21Orionv4_computers21262--0.088--
2005-08-16ANONYMOUSv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.535--
2015-07-03VictordeHollanderManual testing265266--1.070--
2016-04-28Gordon SpenceManual testing266267--2.139--
2018-02-26-Anonymous-Manual testing267268--4.278--
2020-04-10TJAOIManual testing268269--8.556--
2021-08-12takahashiManual testing269270--17.11--
2021-09-07SRBaseManual testing270271--34.23--
2021-09-25SRBaseManual testing271272--68.45--


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)
1999-03-26ANONYMOUSv4_computersF5B80C3578D338__1.524
1999-06-26ANONYMOUSv4_computers040123E045D11CE01.524
2001-10-25ANONYMOUSv4_computers040123E045D11CE01.524


PRP results:
No PRP results for M6986789


P-1 factor-bounds graph:
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13572500 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 25000, B2 = 87500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
272
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
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00