is 2 6974333 - 1
has 2099484 decimal digits
takes 1.521 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF01C6D225B097D98double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.121968.0556%40000001100000003.09076.5358%140.212670.1434%
Target2674.260565.6716%450009000000.02902.2392%4.289466.4403%
Difference+5+132.8614+2.3839%+3955000+109100000+3.0618+4.2967%+135.9232+3.7031%

Known prime factors:
No known factors for M6974333

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers35000341250---0.016--0.800%
2011-12-13James HeinrichQ66001350002835000---0.089--2.034%
2020-01-28takahashivaio6000001200000012---0.386--3.585%
2021-11-21Seth_TrManual testing400000011000000012---3.091--6.536%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-05ANONYMOUSv4_computers21262--0.088--
2005-08-01ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-15lycornManual testing264265--0.536--
2015-07-03VictordeHollanderManual testing265266--1.071--
2016-04-26Gordon SpenceManual testing266267--2.143--
2018-02-26-Anonymous-Manual testing267268--4.286--
2020-04-24TJAOIManual testing268269--8.572--
2021-08-07takahashiManual testing269270--17.14--
2021-09-06SRBaseManual testing270271--34.29--
2021-09-28SRBaseManual testing271272--68.57--


ECM factoring results:
Total ECM effort:2.984 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.984


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computersF01C6D225B097D981.521
2001-11-10ANONYMOUSv4_computersF01C6D225B097D981.521


PRP results:
No PRP results for M6974333


P-1 factor-bounds graph:
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (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 = 341250 (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
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.73 ~= -11-bit
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270
280
Last modified: 2023-04-26T21:34:10+00:00