is 2 3499679 - 1
has 1053509 decimal digits
takes 0.368 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L71C58F7054B6D514double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26934.113668.1159 %150000007500000008.382811.0597 %42.496471.6422 %
Target2641.017065.6250 %2000018000000.01781.9154 %1.034966.2834 %
Difference+5+33.0966+2.4909 %+14980000+748200000+8.3650+9.1443%+41.4616+5.3588 %

Known prime factors (1 factor, 92.7 bits, 0.00264868% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
349967980186689188494495572554574012892.6951145629201828146175300
22 × 52 × 17 × 15809 × 42627587481001
2021-07-251580942627587481001286,590,329353,689660,593

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-09Carsten Kossendeymother20000240000--0.0051.708%
2011-11-19USAFSSP4_2600600009900006--0.0173.158%
2014-08-21JossManual testing7834078340--0.0121.341%
2014-09-04HBendtzManual testing6150001200000012--0.1887.109%
2021-03-28axnManual testing15000000750000000--8.38315.316%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-03-18S485122USB-Z2602610.044
2011-07-10markrManual testing212620.088
2012-08-18GrunwalderGIMPManual testing212630.456
2016-02-23Mark RoseManual testing2622630.280
2015-01-20lycornManual testing2632640.561
2015-01-20lycornManual testing2642651.068
2016-01-06ramgeisManual testing2652662.135
2017-02-20Gordon SpenceManual testing2662674.271
2018-07-23TJAOIManual testing2672688.541
2021-01-14axnManual testing26826917.08


ECM factoring results:
Total ECM effort:4.647 GHz-days
Estimated T-Level:20.574
DigitsB1CompleteFacMiss
20110001.24028.927%
25500000.11589.156%
302500000.00799.278%


ECM Summary

B1B2factorcurvesGHz-days
500005000000294.132
50000680000030.515


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-15ANONYMOUSv4_computers71C58F7054B6D5140.368
1999-10-07ANONYMOUSv4_computers71C58F7054B6D5140.368


PRP results:
dateuseridcompidcofactorsres64
2021-07-26kutenssol
8018668918849449557255457401
0497B4AFD12EC0D8


CERT results:
dateuseridcompid
2021-07-26LovinTenderTuTenderly


P-1 factor-bounds graph:
B1 = 15000000, B2 = 750000000 (P-1 stage 2)
B1 = 15000000 (P-1 stage 1)
B1 = 615000, B2 = 12000000 (P-1 stage 2)
B1 = 615000 (P-1 stage 1)
B1 = 60000, B2 = 990000 (P-1 stage 2)
B1 = 78340 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 20000, B2 = 240000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=20.57 ~= 52-bit
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Last modified: 2024-02-09T03:30:02+00:00