is 2 6918409 - 1
has 2082649 decimal digits
takes 1.509 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L366C21815E5FE3BCdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.230368.0556%40000004568186709.06528.0780%147.295470.6360%
Target2674.294965.6716%4500072000000.13752.2362%4.432466.4393%
Difference+5+133.9354+2.3839%+3955000+449618670+8.9277+5.8418%+142.8630+4.1967%

Known prime factors:
No known factors for M6918409

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-22ANONYMOUSv4_computers30000157500---0.012--0.580%
2011-09-03Carsten Kossendeymother44000013310000---0.361--3.504%
2021-11-12Seth_TrManual testing30000007500000012---2.189--5.981%
2021-12-02Seth_TrManual testing4000000456818670---9.065--8.078%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-13ANONYMOUSv4_computers21261--0.044--
1998-09-27ANONYMOUSv4_computers21262--0.089--
1998-11-21ANONYMOUSv4_computers21262--0.089--
2005-02-12ANONYMOUSv4_computers21263--0.231--
2014-02-09NesowaManual testing263264--0.284--
2014-02-17lycornManual testing264265--0.540--
2015-06-26VictordeHollanderManual testing265266--1.080--
2016-04-02Gordon SpenceManual testing266267--2.160--
2018-02-27-Anonymous-Manual testing267268--4.320--
2020-05-15TJAOIManual testing268269--8.641--
2021-07-18takahashiManual testing269270--17.28--
2021-08-10SRBaseManual testing270271--34.56--
2021-09-28SRBaseManual testing271272--69.13--


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)
1999-03-26ANONYMOUSv4_computers0684EE245D63B6__1.509
1999-12-08ANONYMOUSv4_computers366C21815E5FE3BC1.509
2002-02-24ANONYMOUSv4_computers366C21815E5FE3BC1.509


PRP results:
No PRP results for M6918409


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 440000, B2 = 13310000 (P-1 stage 2)
B1 = 440000 (P-1 stage 1)
B1 = 30000, B2 = 157500 (P-1 stage 2)
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
261
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
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280
Last modified: 2023-06-05T21:50:05+00:00