is 2 6957389 - 1
has 2094383 decimal digits
takes 1.517 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5E24A03E75A2B6C3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.455868.0556%40000004568186709.06528.0823%146.521070.6374%
Target2674.270865.6716%450009000000.02902.2383%4.299866.4400%
Difference+5+133.1850+2.3839%+3955000+455918670+9.0362+5.8440%+142.2212+4.1974%

Known prime factors:
No known factors for M6957389

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-03Hoang Anh Vov4_computers2500087500---0.009--0.431%
2002-06-23oerwinv4_computers8500085000---0.027--0.505%
2011-06-09Carsten Kossendeyleela44500013350000---0.363--3.515%
2021-11-08Seth_TrManual testing30000007500000012---2.189--5.985%
2021-12-04Seth_TrManual testing4000000456818670---9.065--8.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21Kimon Berlinv4_computers21262--0.088--
2005-07-17ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-16lycornManual testing264265--0.537--
2015-06-26VictordeHollanderManual testing265266--1.074--
2016-04-06Gordon SpenceManual testing266267--2.148--
2018-05-23ramgeisManual testing267268--4.296--
2020-04-24TJAOIManual testing268269--8.593--
2021-08-01takahashiManual testing269270--17.19--
2021-08-13SRBaseManual testing270271--34.37--
2021-09-25SRBaseManual testing271272--68.74--


ECM factoring results:
Total ECM effort:2.321 GHz-days
Estimated T-Level:1.346
DigitsB1CompleteFacMiss
20110000.26976.397%
25500000.02597.540%
302500000.00299.843%


ECM Summary

B1B2factorcurvesGHz-days
50000500000072.321


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06Ignacio_Larrosav4_computers5E24A03E75A2B6C31.517
2001-06-30Ignacio_Larrosav4_computers5E24A03E75A2B6C31.517
2002-10-19oerwinv4_computers5E24A03E75A2B6C31.517


PRP results:
No PRP results for M6957389


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 = 85000 (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: 67.8
ECM T-Level=1.35 ~= -12-bit
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270
280
Last modified: 2023-04-26T21:34:10+00:00