is 2 5791921 - 1
has 1743542 decimal digits
takes 1.026 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD14C88EB2856EB7Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.130265.6716 %5000010000000.02612.2830 %5.156466.4554 %
Target2662.549865.1515 %3600040000000.06472.2777 %2.614665.9452 %
Difference+1+2.5804+0.5201 %+14000-3000000-0.0386+0.0054%+2.5418+0.5101 %

Known prime factors (1 factor, 65.3 bits, 0.00112676% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5791921442126758152377804812065.2613816754045440
29 × 3 × 5 × 7 × 31 × 109 × 21011
2009-06-12512210111.61150.00040.0005

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-12Carsten Kossendeymother2065.2610.0080.000%
2023-05-12This -Anonymous-Manual testing5000010000006
skipped known factor: 44212675815237780481
--0.0262.589%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-05-08ANONYMOUSv4_computers212610.027
1998-06-01MadPoov4_computers212620.053
2009-02-02GrunwalderGIMPManual testing2622630.169


ECM factoring results:
No ECM results for M5791921


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-25ANONYMOUSv4_computersD14C88EB2856EB7D1.026
2000-10-15ANONYMOUSv4_computersD14C88EB2856EB7D1.026


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
44212675815237780481
02E32F090F9774C4
2018-08-12arnaudstm-11-010
44212675815237780481
02E32F090F9774C4


CERT results:
No CERT results for M5791921


P-1 factor-bounds graph:
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
101
102
103
104
105
101
102
103
104
105
106
TF factor-bounds graph:
263
262
261
this exponent TF target: 66
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00