is 2 6985367 - 1
has 2102805 decimal digits
takes 1.523 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77BA3AAFFC203C6Cdouble-checked
PRP57E091A65FD3D3E0PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.905368.0556%2000000580000001.59705.5236%138.502369.8200%
Target2674.253765.6716%450009000000.02902.2398%4.282766.4405%
Difference+5+132.6515+2.3839%+1955000+57100000+1.5681+3.2838%+134.2196+3.3795%

Known prime factors (1 factor, 94.9 bits, 0.00135877% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6985367373416540827205584651976306892994.9152672848404580643970832
24 × 73 × 127649 × 961703 × 18641167		2021-11-0796170318641167908,980,8050.60860.6188

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28shaneamyv4_computers2500087500---0.009--0.432%
2011-09-07Carsten Kossendeymother44500013572500---0.367--3.528%
2021-11-07Seth_TrManual testing200000058000000122994.9151.5973.0463.1945.524%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-16ANONYMOUSv4_computers21261--0.044--
1998-08-30ANONYMOUSv4_computers21262--0.088--
2004-07-26Sturle Sundev4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.535--
2015-07-03VictordeHollanderManual testing265266--1.070--
2016-04-26Gordon SpenceManual testing266267--2.140--
2018-02-27-Anonymous-Manual testing267268--4.279--
2020-04-10TJAOIManual testing268269--8.558--
2021-08-11takahashiManual testing269270--17.12--
2021-09-07SRBaseManual testing270271--34.23--
2021-09-25SRBaseManual testing271272--68.47--


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)
1999-10-15curtiscv4_computers77BA3AAFFC203C6C1.523
2001-10-25ANONYMOUSv4_computersFAF21CC51C918F__1.523
2002-05-25shaneamyv4_computers77BA3AAFFC203C6C1.523


PRP results:
dateuseridcompidcofactorsres64PRP
2021-11-08Tucker KaoOld_Timer_2013
37341654082720558465197630689
57E091A65FD3D3E0no


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
261
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
290
2100
Last modified: 2023-03-25T13:08:14+00:00