is 2 6988273 - 1
has 2103680 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-L8DA26B549A233F56double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.848468.0556%20000002416186504.76016.9165%141.608570.2650%
Target2674.252065.6716%450009000000.02902.2399%4.280966.4406%
Difference+5+132.5964+2.3839%+1955000+240718650+4.7312+4.6766%+137.3276+3.8244%

Known prime factors:
No known factors for M6988273

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-02-03ANONYMOUSv4_computers3000030000---0.009--0.235%
2011-04-22Carsten Kossendeyleela44500013572500---0.367--3.528%
2021-11-07Seth_TrManual testing20000005800000012---1.597--5.524%
2021-12-06Seth_TrManual testing2000000241618650---4.760--6.917%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21261--0.044--
1998-07-11ANONYMOUSv4_computers21261--0.044--
1998-08-30ANONYMOUSv4_computers21262--0.088--
1998-09-20ANONYMOUSv4_computers21262--0.088--
1999-11-24ANONYMOUSv4_computers21263--0.228--
2002-02-03ANONYMOUSv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.535--
2015-07-03VictordeHollanderManual testing265266--1.069--
2016-04-28Gordon SpenceManual testing266267--2.139--
2018-02-27-Anonymous-Manual testing267268--4.277--
2020-04-10TJAOIManual testing268269--8.555--
2021-08-13takahashiManual testing269270--17.11--
2021-09-06SRBaseManual testing270271--34.22--
2021-09-25SRBaseManual testing271272--68.44--


ECM factoring results:
Total ECM effort:2.984 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.984


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-19ANONYMOUSv4_computers8DA26B549A233F561.524
2002-04-28ANONYMOUSv4_computers8DA26B549A233F561.524


PRP results:
No PRP results for M6988273


P-1 factor-bounds graph:
B1 = 2000000, B2 = 241618650 (P-1 stage 2)
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 = 30000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
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=1.73 ~= -11-bit
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00