is 2 8911333 - 1
has 2682579 decimal digits
takes 2.463 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD1494289DDE07716double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273214.653067.1233 %2500000177866733039.78408.6640 %254.437069.9717 %
Target2686.688764.7059 %5500060000000.15182.3059 %6.840565.5197 %
Difference+5+207.9643+2.4174 %+2445000+1772667330+39.6322+6.3581%+247.5965+4.4520 %

Known prime factors (1 factor, 82.7 bits, 0.00092833% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
891133380005853024077948643284012582.726448899468935107400
23 × 52 × 7 × 47 × 453667 × 15037859
2022-08-1445366715037859133,2270.50030.6133

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-02MadPoov4_computers45000461250--0.0271.711%
2012-07-12James Heinrichi7-92016500035887506--0.1333.627%
2022-08-14Cong ShengzhuoThis_Laptop_v308b152500000177866733022582.72641.9812.546%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-21ANONYMOUSv4_computers212610.017
1998-12-06ANONYMOUSv4_computers212620.034
1999-03-26ANONYMOUSv4_computers212630.110
2003-02-02MadPoov4_computers212640.220
2014-01-10lycornManual testing2642650.419
2015-05-17VictordeHollanderManual testing2652660.839
2016-03-10snme2pm1Manual testing2662671.677
2018-04-07monstManual testing2672683.354
2019-11-20mnd9Manual testing2682696.709
2021-08-21SRBaseManual testing26927013.42
2021-08-29SRBaseManual testing27027126.83
2021-10-15SRBaseManual testing27127253.67
2021-12-11ANONYMOUSManual testing272273107.3


ECM factoring results:
Total ECM effort:1.191 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.191


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-08-17ANONYMOUSv4_computersD1494289DDE077162.463
2003-02-24MadPoov4_computersD1494289DDE077162.463


PRP results:
dateuseridcompidcofactorsres64
2022-08-17LordJuliusWhitebox
8000585302407794864328401
508DBFC1A4BF05F9


CERT results:
dateuseridcompid
2022-08-17Perigbruisin


P-1 factor-bounds graph:
B1 = 2500000, B2 = 1778667330 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 165000, B2 = 3588750 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
B1 = 45000, B2 = 461250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
263
262
261
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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270
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290
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Last modified: 2024-03-13T02:15:48+00:00