is 2 3668087 - 1
has 1104205 decimal digits
takes 0.385 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7DE9B957EB33632Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27065.143168.5714 %300000006000000009.298110.3788 %74.441271.8333 %
Target2640.970465.6250 %2200020000000.01982.0380 %0.990166.3256 %
Difference+6+64.1728+2.9464 %+29978000+598000000+9.2783+8.3408%+73.4511+5.5078 %

Known prime factors (1 factor, 73.4 bits, 0.00200217% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3668087128252326206697448586072373.4411748218161219969
3 × 79 × 10597 × 696088321
2021-06-3010597696088321521.485.777110.787

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-07-11Carsten Kossendeymother20000260000--0.0051.764%
2012-02-06Squeeky_SquirrelP4_26009000016425006--0.0273.827%
2016-06-24JossManual testing9000032850006--0.0404.434%
2016-10-02JossManual testing900003942000--0.0464.597%
2016-12-24JossManual testing108000108000---1.598%
2016-12-30JossManual testing129600129600---1.749%
2017-01-29JossManual testing167520167520---1.975%
2017-02-12JossManual testing24122824122806--0.0554.730%
2020-10-11axnManual testing3000000060000000012--9.29815.261%
2022-03-04JossManual testing9000090000--0.0141.456%
2022-03-22JossManual testing100000100000--0.0151.537%
2022-05-25JossManual testing100000130364850--1.3028.096%


Trial Factoring results:
5758596061626364656667686970
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.042
2009-03-09S485122USB-Z2602610.042
2011-06-04Grant McCrackenthumper2612620.084
2012-06-05GrunwalderGIMPManual testing212630.435
2016-02-23Mark RoseManual testing2622630.268
2015-01-23VictordeHollanderManual testing2632640.535
2015-01-23VictordeHollanderManual testing2642651.019
2015-10-20ramgeisManual testing2652662.037
2017-01-03Gordon SpenceManual testing2662674.074
2018-11-19TJAOIManual testing2672688.149
2020-11-11axnManual testing26826916.30
2021-02-24axnManual testing26927032.60


ECM factoring results:
Total ECM effort:2.852 GHz-days
Estimated T-Level:3.766
DigitsB1CompleteFacMiss
20110000.75347.085%
25500000.07093.264%
302500000.00499.560%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.638
50000680000071.214


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-16ANONYMOUSv4_computers7DE9B957EB33632C0.385


PRP results:
dateuseridcompidcofactorsres64
2021-07-01tottenhoff2018pc
12825232620669744858607
1D3C8AC56652CAC9


CERT results:
dateuseridcompid
2021-07-01Claude PortenierSuper-Idiot


P-1 factor-bounds graph:
B1 = 30000000, B2 = 600000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
B1 = 100000, B2 = 130364850 (P-1 stage 2)
B1 = 241228, B2 = 2412280 (P-1 stage 2)
B1 = 90000, B2 = 3942000 (P-1 stage 2)
B1 = 90000, B2 = 3285000 (P-1 stage 2)
B1 = 241228 (P-1 stage 1)
B1 = 90000, B2 = 1642500 (P-1 stage 2)
B1 = 167520 (P-1 stage 1)
B1 = 129600 (P-1 stage 1)
B1 = 108000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 90000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
TF factor-bounds graph:
270
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=3.77 ~= -4-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00