is 2 6994997 - 1
has 2105704 decimal digits
takes 1.525 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3AEDDE96EE673D93double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272136.716868.0556%20000002586265505.05316.9847%141.769970.2868%
Target2674.247965.6716%4500072000000.13752.2403%4.385466.4407%
Difference+5+132.4689+2.3839%+1955000+251426550+4.9156+4.7444%+137.3846+3.8461%

Known prime factors (1 factor, 76.2 bits, 0.00108948% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6994997873399471028584361873212376.2096243029632668780
22 × 32 × 5 × 7 × 43 × 1451 × 79412521
2021-12-061451794125212,784.51.36842.5550

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-22mkroskav4_computers3000030000---0.009--0.235%
2011-09-08Carsten Kossendeymother44500013572500---0.367--3.529%
2021-11-09Seth_TrManual testing30000007500000012---2.189--5.988%
2021-12-06Seth_TrManual testing20000002586265502376.2095.0533.05110.116.985%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21262--0.088--
2001-12-08ANONYMOUSv4_computers21263--0.228--
2014-02-09NesowaManual testing263264--0.281--
2014-02-14lycornManual testing264265--0.534--
2015-07-03VictordeHollanderManual testing265266--1.068--
2016-04-28Gordon SpenceManual testing266267--2.137--
2018-02-26-Anonymous-Manual testing267268--4.273--
2020-04-03TJAOIManual testing268269--8.546--
2020-07-26takahashiManual testing269270--17.09--
2020-09-20takahashiManual testing270271--34.19--
2021-09-26SRBaseManual testing271272--68.37--


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)
1999-07-04ANONYMOUSv4_computers98042A820DACD8091.525
2001-11-14mkroskav4_computers3AEDDE96EE673D931.525
2002-01-08ANONYMOUSv4_computers3AEDDE96EE673D931.525


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-12LaurVZero818
87339947102858436187321
F3542B08A7083AF4no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258626550 (P-1 stage 2)
B1 = 3000000, B2 = 75000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13572500 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
102
103
104
105
106
107
102
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=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00