is 2 6948209 - 1
has 2091620 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA3F8666048A7FF03double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.637468.0556%40000004568186709.06528.0813%146.702670.6371%2.5815%
PrimeNet2630.229763.4921%280007000000.02043.1621%0.250164.6465%1.1544%
GPU722674.276565.6716%450009000000.02902.2378%4.305466.4398%0.7682%
Difference+5+133.3609+2.3839%+3955000+455918670+9.0362+5.8435%+142.3971+4.1972%+1.8133%

Known prime factors:
No known factors for M6948209

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.234%
2011-05-22T07:04:00Carsten Kossendeymother44500013350000---0.363--3.514%
2021-11-05T20:42:52Seth_TrManual testing20000005800000012---1.597--5.520%
2021-12-03T07:20:37Seth_TrManual testing4000000456818670---9.065--8.081%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29T00:00:00lozcsv4_computers21262--0.088--
2005-03-20T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:12:00NesowaManual testing263264--0.283--
2014-02-16T12:45:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.075--
2016-04-05T22:46:26Gordon SpenceManual testing266267--2.151--
2018-02-26T00:48:47-Anonymous-Manual testing267268--4.302--
2020-04-10T07:57:05TJAOIManual testing268269--8.604--
2021-07-28T22:40:56takahashiManual testing269270--17.21--
2021-08-11T16:36:03SRBaseManual testing270271--34.42--
2021-09-25T07:19:29SRBaseManual testing271272--68.83--


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)
1999-03-26T00:00:00ANONYMOUSv4_computers20685CE57AFAC3__1.515
1999-05-23T00:00:00J Moseleyv4_computersA3F8666048A7FF031.515
2001-10-20T00:00:00ANONYMOUSv4_computersA3F8666048A7FF031.515


PRP results:
No PRP results for M6948209


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13350000 (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
250
260
270
280
290
2100
Last modified: 2021-12-03T07:20:37+00:00