is 2 6974329 - 1
has 2099483 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-L4F9FFA5C366D9700double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.122068.0556%3000000750000002.18885.9864%139.310869.9679%
Target2674.260565.6716%450009000000.02902.2392%4.289466.4403%
Difference+5+132.8615+2.3839%+2955000+74100000+2.1599+3.7472%+135.0214+3.5276%

Known prime factors:
No known factors for M6974329

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers3000030000---0.009--0.234%
2011-09-07Carsten Kossendeymother44000013640000---0.367--3.525%
2021-11-18Seth_TrManual testing30000007500000012---2.189--5.986%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-08-09ANONYMOUSv4_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--
2021-09-15SRBaseManual testing270271--34.29--
2021-09-19Jon PaceManual 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)
1999-04-13ANONYMOUSv4_computers4F9FFA5C366D97001.521
1999-05-30ANONYMOUSv4_computers4F9FFA5C366D97001.521
2001-10-06ANONYMOUSv4_computers4F9FFA5C366D97001.521


PRP results:
No PRP results for M6974329


P-1 factor-bounds graph:
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 440000, B2 = 13640000 (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
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
250
260
270
280
Last modified: 2023-04-26T21:34:10+00:00