is 2 6957997 - 1
has 2094566 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-LF9BD8B1066889E78double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.443868.0556%40000004568186709.06528.0824%146.509070.6374%
Target2674.270565.6716%450009000000.02902.2383%4.299466.4400%
Difference+5+133.1733+2.3839%+3955000+455918670+9.0362+5.8440%+142.2095+4.1974%

Known prime factors:
No known factors for M6957997

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-10TeraTismv4_computers3000030000---0.009--0.234%
2011-09-05Carsten Kossendeymother44000013530000---0.365--3.518%
2021-11-05Seth_TrManual testing20000005800000012---1.597--5.521%
2021-12-04Seth_TrManual testing4000000456818670---9.065--8.082%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-30ANONYMOUSv4_computers21262--0.088--
2004-03-26Sturle Sundev4_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--
2018-02-25-Anonymous-Manual testing267268--4.296--
2020-04-24TJAOIManual testing268269--8.592--
2021-08-01takahashiManual testing269270--17.18--
2021-08-11SRBaseManual testing270271--34.37--
2021-09-25SRBaseManual testing271272--68.73--


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)
1999-08-07ANONYMOUSv4_computersF9BD8B1066889E781.517
2001-10-06TeraTismv4_computersF9BD8B1066889E781.517


PRP results:
No PRP results for M6957997


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 = 440000, B2 = 13530000 (P-1 stage 2)
B1 = 440000 (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
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
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270
280
Last modified: 2023-04-26T21:34:10+00:00