is 2 1733729 - 1
has 521905 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-L76E00865B682BA1Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26717.138768.6567 %500000150000000.10155.0357 %17.240270.2351 %
Target2610.177265.5738 %80005500000.00301.4099 %0.180166.0591 %
Difference+6+16.9616+3.0829 %+492000+14450000+0.0985+3.6258%+17.0601+4.1759 %

Known prime factors (1 factor, 75.9 bits, 0.00437808% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1733729706950113470616709451192375.90420388137750208271
19 × 2617 × 410034345277
2014-02-0726174100343452774,413.61,757.33,282.2

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-02-07Carsten Kossendeymother9500015437506--0.0144.789%
2016-03-16alpertronManual testing5000001500000012---8.813%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2003-02-02ANONYMOUSv4_computers212580.022
2010-04-24Architects Cubedm1_f22602610.089
2010-11-18GrunwalderGIMPManual testing212630.920


ECM factoring results:
Total ECM effort:38.306 GHz-days
Estimated T-Level:25.717
DigitsB1CompleteFacMiss
201100014.6150.000%
25500001.67118.807%
302500000.14386.643%
3510000000.01099.006%


ECM Summary

B1B2factorcurvesGHz-days
10.069
50000500000025017.01
250000400000005021.23


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10ANONYMOUSv4_computers76E00865B682BA1A0.094


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
70695011347061670945119
B60D255B73F650E1
2017-10-19Oliver KruseGTX-2
70695011347061670945119
B60D255B73F650E1


CERT results:
No CERT results for M1733729


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 95000, B2 = 1543750 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
263
261
258
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
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280
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Last modified: 2024-02-29T14:28:04+00:00