is 2 6943501 - 1
has 2090203 decimal digits
takes 1.514 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L98A28BF74E453AA8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.730868.0556%40000004568186709.06528.0808%146.795970.6369%
Target2674.279465.6716%450009000000.02902.2375%4.308366.4398%
Difference+5+133.4514+2.3839%+3955000+455918670+9.0362+5.8432%+142.4876+4.1972%

Known prime factors:
No known factors for M6943501

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-01ANONYMOUSv4_computers2500087500---0.009--0.431%
2004-05-25Team_Inspectorv4_computers2500087500---0.009--0.431%
2004-06-12Team_Inspectorv4_computers2500087500---0.009--0.431%
2011-09-05Carsten Kossendeymother44500013350000---0.363--3.514%
2021-11-17Seth_TrManual testing30000007500000012---2.189--5.984%
2021-12-02Seth_TrManual testing4000000456818670---9.065--8.081%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21262--0.088--
1998-08-09ANONYMOUSv4_computers21262--0.088--
1998-08-24ANONYMOUSv4_computers21262--0.088--
1998-08-30ANONYMOUSv4_computers21262--0.088--
1998-10-18ANONYMOUSv4_computers21262--0.088--
1998-10-25ANONYMOUSv4_computers21262--0.088--
1998-11-28ANONYMOUSv4_computers21262--0.088--
2005-03-06ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.283--
2014-02-16lycornManual testing264265--0.538--
2015-06-26VictordeHollanderManual testing265266--1.076--
2016-04-05Gordon SpenceManual testing266267--2.152--
2018-05-23ramgeisManual testing267268--4.305--
2020-04-24TJAOIManual testing268269--8.610--
2021-07-28takahashiManual testing269270--17.22--
2021-08-13SRBaseManual testing270271--34.44--
2021-10-10SRBaseManual testing271272--68.88--


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)
1999-05-16ANONYMOUSv4_computers042B9DF9450277__1.514
1999-07-04ANONYMOUSv4_computers98A28BF74E453AA81.514
2001-12-22ANONYMOUSv4_computers98A28BF74E453AA81.514
2004-05-25Team_Inspectorv4_computers98A28BF74E453AA81.514
2004-06-12Team_Inspectorv4_computers98A28BF74E453AA81.514


PRP results:
No PRP results for M6943501


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 445000, B2 = 13350000 (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
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.7
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-03-25T13:08:14+00:00