is 2 6467821 - 1
has 1947009 decimal digits
takes 1.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L3BE8CBBD5C697E54double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272147.860368.0556 %2500000500285101.38325.4450 %149.243469.7949 %
Target2662.283465.1515 %4500050000000.08562.5770 %2.369066.0496 %
Difference+6+145.5769+2.9040 %+2455000+45028510+1.2976+2.8679%+146.8745+3.7453 %

Known prime factors (1 factor, 82.5 bits, 0.00127496% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
646782166630324593443900056704412582.462515090975719982820
22 × 3 × 5 × 1423 × 155387 × 38825147
2022-08-0315538738825147222,2390.61481.0737

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-02-25ANONYMOUSv4_computers30000292500--0.0121.691%
2014-09-07Nesowanewfs395000997375012--0.2495.860%
2022-08-03takahashivaio25000005002851022582.4621.6098.994%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-05ANONYMOUSv4_computers212610.024
1998-09-13ANONYMOUSv4_computers212620.047
2016-02-23Mark RoseManual testing2622630.152
2014-08-02NesowaManual testing2632640.304
2014-08-08lycornManual testing2642650.578
2015-10-25snme2pm1Manual testing2652661.155
2016-04-10Gordon SpenceManual testing2662672.311
2018-06-06ramgeisManual testing2672684.621
2020-05-23takahashiManual testing2682699.243
2021-03-14takahashiManual testing26927018.49
2021-08-10SRBaseManual testing27027136.97
2021-09-21SRBaseManual testing27127273.94


ECM factoring results:
Total ECM effort:1.710 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.710


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-11-04curtiscv4_computers3BE8CBBD5C697E541.212
2001-04-01ANONYMOUSv4_computers3BE8CBBD5C697E541.212


PRP results:
dateuseridcompidcofactorsres64
2022-08-10LordJuliusDarkTower
6663032459344390005670441
7DED49BAE35CC76E


CERT results:
dateuseridcompid
2022-08-10curtiscwcm320--08l


P-1 factor-bounds graph:
B1 = 2500000, B2 = 50028510 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 395000, B2 = 9973750 (P-1 stage 2)
B1 = 395000 (P-1 stage 1)
B1 = 30000, B2 = 292500 (P-1 stage 2)
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
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
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270
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290
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Last modified: 2024-03-13T02:15:48+00:00