is 2 4493821 - 1
has 1352775 decimal digits
takes 0.560 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L94D4092873548565double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.612265.6716 %1800000680000000.97788.2115 %7.590068.4905 %
Target2651.623564.6154 %2600027500000.03152.0905 %1.655065.3551 %
Difference+2+4.9887+1.0563 %+1774000+65250000+0.9463+6.1210%+5.9349+3.1354 %

Known prime factors (1 factor, 83.5 bits, 0.00185758% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4493821134545180512611850362800332683.4761497002000219989296
24 × 3 × 11 × 109 × 553867 × 46963069
2017-01-0955386746963069722,3770.55740.8643

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-05-31ANONYMOUSv4_computers1500015000--0.0030.405%
2009-08-19USAFSSP4_26006000010500006--0.0212.950%
2014-10-19JossManual testing7428374283--0.0131.184%
2014-12-02Nesowanewfs260000565500012--0.1005.292%
2017-01-09mikrMSI1800000680000001222683.4760.9789.657%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-09-06ANONYMOUSv4_computers212610.034
2010-09-28markrut2612620.068
2012-02-10GrunwalderGIMPManual testing212630.355
2016-02-23Mark RoseManual testing2622630.218
2014-10-07JayderManual testing2632640.437
2014-10-08monstManual testing2642650.831
2015-06-27snme2pm1Manual testing2652661.663


ECM factoring results:
Total ECM effort:1.464 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.464


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25ANONYMOUSv4_computers94D40928735485650.560
2000-10-07ANONYMOUSv4_computers94D40928735485650.560
2000-12-21Michael Hanschov4_computers94D40928735485650.560


PRP results:
dateuseridcompidcofactorsres64
2017-11-17kkmrkkblmbrbkc4.xlarge
13454518051261185036280033
E104F723A5471E6F
2018-02-17Oliver KruseGTX-4
13454518051261185036280033
E104F723A5471E6F


CERT results:
No CERT results for M4493821


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 260000, B2 = 5655000 (P-1 stage 2)
B1 = 260000 (P-1 stage 1)
B1 = 60000, B2 = 1050000 (P-1 stage 2)
B1 = 74283 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
266
265
264
263
262
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
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Last modified: 2024-03-13T02:15:48+00:00