is 2 4451653 - 1
has 1340082 decimal digits
takes 0.555 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2780295E5ECEF052double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.674865.6716 %23400002012400002.38309.7902 %9.057869.0325 %
Target2651.638964.6154 %2600027500000.03152.0871 %1.670465.3539 %
Difference+2+5.0359+1.0563 %+2314000+198490000+2.3514+7.7031%+7.3873+3.6786 %

Known prime factors (1 factor, 94.0 bits, 0.00211204% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4451653200929026215572222923230814172994.0212256791198859976540436
22 × 31 × 73 × 101693 × 118891 × 20620861
2016-12-02118891206208611.228e+90.22350.3795

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-02mikrMSI1800000680000001222994.0210.9789.648%
2021-08-06Dylan Delgadodesktoplinux2340000201240000
skipped known factor: 20092902621557222292323081417
--2.38311.392%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-01David Campeauv4_computers212610.035
2012-02-03GrunwalderGIMPManual testing212630.358
2016-02-23Mark RoseManual testing2612630.331
2014-09-15JayderManual testing2632640.441
2014-09-15monstManual testing2642650.839
2015-06-24snme2pm1Manual testing2652661.679


ECM factoring results:
Total ECM effort:1.461 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.461


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31Brian Jongekrygv4_computers2780295E5ECEF0520.555
1998-08-30Brian Jongekrygv4_computers2780295E5ECEF0520.555
1998-11-07Brian Jongekrygv4_computers2780295E5ECEF0520.555
2000-03-27ANONYMOUSv4_computers2780295E5ECEF0520.555


PRP results:
dateuseridcompidcofactorsres64
2017-11-17kkmrkkblmbrbkc4.xlarge
20092902621557222292323081417
5B94EB33C0D2CF6E
2018-02-14Oliver KruseGTX-4
20092902621557222292323081417
5B94EB33C0D2CF6E


CERT results:
No CERT results for M4451653


P-1 factor-bounds graph:
B1 = 2340000, B2 = 201240000 (P-1 stage 2)
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 2340000 (P-1 stage 1)
B1 = 1800000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
TF factor-bounds graph:
266
265
264
263
261
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00