is 2 6968629 - 1
has 2097767 decimal digits
takes 1.520 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LCB1F9B9BD56F8124double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.234168.0556%3000000750000002.18885.9859%139.423069.9677%
Target2674.264065.6716%4500072000000.13752.2389%4.401466.4402%
Difference+5+132.9702+2.3839%+2955000+67800000+2.0514+3.7470%+135.0215+3.5275%

Known prime factors:
No known factors for M6968629

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-20ANONYMOUSv4_computers3000030000---0.009--0.234%
2011-09-06Carsten Kossendeymother44000013640000---0.367--3.525%
2021-11-17Seth_TrManual testing30000007500000012---2.189--5.986%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11Phantomasv4_computers21262--0.088--
1998-07-21Phantomasv4_computers21262--0.088--
2005-08-01ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-15lycornManual testing264265--0.536--
2015-06-26VictordeHollanderManual testing265266--1.072--
2016-04-25Gordon SpenceManual testing266267--2.145--
2018-02-27-Anonymous-Manual testing267268--4.289--
2020-04-24TJAOIManual testing268269--8.579--
2021-08-07takahashiManual testing269270--17.16--
2021-09-08SRBaseManual testing270271--34.31--
2021-09-26SRBaseManual testing271272--68.63--


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)
1999-05-02ANONYMOUSv4_computersCB1F9B9BD56F81241.520
2001-10-13ANONYMOUSv4_computersF6469F7995A025__1.520
2002-05-18ANONYMOUSv4_computersCB1F9B9BD56F81241.520


PRP results:
No PRP results for M6968629


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=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00