is 2 6967577 - 1
has 2097450 decimal digits
takes 1.519 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4899A796E451FE4Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.254868.0556%20000002588493605.05696.9827%142.311870.2861%
Target2674.264665.6716%450009000000.02902.2388%4.293666.4402%
Difference+5+132.9902+2.3839%+1955000+257949360+5.0280+4.7439%+138.0182+3.8460%

Known prime factors:
No known factors for M6967577

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-06Steve Roffersv4_computers35000288750---0.015--0.756%
2011-12-10James HeinrichQ66001350002835000---0.089--2.034%
2020-01-26takahashivaio6000001200000012---0.386--3.585%
2021-12-07Seth_TrManual testing2000000258849360---5.057--6.983%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11ANONYMOUSv4_computers21261--0.044--
1998-07-21ANONYMOUSv4_computers21262--0.088--
2001-12-08ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-15lycornManual testing264265--0.536--
2015-06-26VictordeHollanderManual testing265266--1.073--
2016-04-25Gordon SpenceManual testing266267--2.145--
2018-02-27-Anonymous-Manual testing267268--4.290--
2020-04-24TJAOIManual testing268269--8.580--
2021-08-04takahashiManual testing269270--17.16--
2021-09-06SRBaseManual testing270271--34.32--
2021-09-25SRBaseManual testing271272--68.64--


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)
1999-05-16Stephen Woodv4_computersA941B2DFADEC37721.519
2001-11-17Steve Roffersv4_computers4899A796E451FE4E1.519
2001-12-22ANONYMOUSv4_computers4899A796E451FE4E1.519


PRP results:
No PRP results for M6967577


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 288750 (P-1 stage 2)
B1 = 35000 (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=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00