is 2 16720667 - 1
has 5033423 decimal digits
takes 9.143 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBD78E699D6CB048Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273114.400067.1233 %634000326520001.88584.4164 %116.285868.5753 %
Target2697.140165.2174 %120000160000000.78113.2875 %7.921266.3609 %
Difference+4+107.2599+1.9059 %+514000+16652000+1.1047+1.1289%+108.3646+2.2144 %

Known prime factors (1 factor, 96.4 bits, 0.00057649% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
167206671040141680014052041489246001693096.3933110347452090434076252
22 × 32 × 331 × 353 × 1061 × 67967 × 10253927
2022-02-0567967102539271.112e+90.49390.8273

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-01-09ANONYMOUSv4_computers1950002291250--0.2453.283%
2022-02-05Architects CubedColab_A36340003265200023096.3931.8866.408%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-07ANONYMOUSv4_computers212560.001
2001-07-07Albyv4_computers212650.223
2016-03-16Mark RoseManual testing265266
2014-09-16NesowaManual testing2662670.894
2018-03-11ramgeisManual testing2672695.363
2020-06-07lycornManual testing2692707.151
2021-09-09SRBaseManual testing27027114.30
2021-09-25ANONYMOUSManual testing27127228.60
2022-01-27RichD0Manual testing27227357.21


ECM factoring results:
Total ECM effort:0.831 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.831


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-02-09ANONYMOUSv4_computersBD78E699D6CB048A9.143
2007-10-29Team Prime Ribv4_computersBD78E699D6CB048A9.143


PRP results:
No PRP results for M16720667


CERT results:
No CERT results for M16720667


P-1 factor-bounds graph:
B1 = 634000, B2 = 32652000 (P-1 stage 2)
B1 = 634000 (P-1 stage 1)
B1 = 195000, B2 = 2291250 (P-1 stage 2)
B1 = 195000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
273
272
271
270
269
267
266
265
256
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00