is 2 1729153 - 1
has 520527 decimal digits
takes 0.094 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LF62EE2AB16396F92double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.184168.6567 %500000150000000.10155.0341 %17.285670.2346 %
Target2610.177665.5738 %70005500000.00291.3452 %0.180566.0369 %
Difference+6+17.0064+3.0829 %+493000+14450000+0.0986+3.6889%+17.1050+4.1977 %

Known prime factors (1 factor, 70.1 bits, 0.00405175% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
172915312316022237228200332972270.061356128758913416
23 × 3 × 23 × 67 × 9629265599
2010-08-03679629265599138.1941.26977.078

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-03-16alpertronManual testing5000001500000012---8.811%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-21ANONYMOUSv4_computers212570.011
1999-03-26ANONYMOUSv4_computers212570.011
2003-02-02ANONYMOUSv4_computers212580.022
2022-03-09LordJuliusManual testing21260
2022-03-08LordJuliusManual testing258260
2010-04-24Architects Cubedm1_76l2602610.089


ECM factoring results:
Total ECM effort:35.568 GHz-days
Estimated T-Level:25.716
DigitsB1CompleteFacMiss
201100014.7850.000%
25500001.68018.633%
302500000.14386.658%
3510000000.01099.013%


ECM Summary

B1B2factorcurvesGHz-days
10.155
50000500000025717.37
250000400000004918.04


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-28ANONYMOUSv4_computersF62EE2AB16396F920.094
1999-03-26ANONYMOUSv4_computersF62EE2AB16396F920.094


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
1231602223722820033297
873F231FE7E9B183
2017-10-19Oliver KruseThreadripper-PC
1231602223722820033297
873F231FE7E9B183


CERT results:
No CERT results for M1729153


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
261
260
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00