is 2 1616453 - 1
has 486601 decimal digits
takes 0.072 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L327F803611617C28double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26718.382268.6567 %2000000200000000.19306.0004 %18.575270.5374 %
Target2610.190065.5738 %65003000000.00151.0587 %0.191565.9383 %
Difference+6+18.1921+3.0829 %+1993500+19700000+0.1916+4.9416%+18.3837+4.5992 %

Known prime factors (1 factor, 82.4 bits, 0.00509937% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
161645365098828910758590861427612582.4292013631974166851460
22 × 5 × 2273 × 8941 × 4954097761
2017-10-01894149540977611,004,64717.48232.650

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2011-11-25BigBrotherWinston10000002000000012--0.1329.636%
2017-07-18JossManual testing12000001200000012---8.916%
2017-08-07JossManual testing20000002000000012--0.1939.978%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-11-07Michael Kennv4_computers212570.012
2003-07-21ANONYMOUSv4_computers212580.024
2016-02-23Mark RoseManual testing2582600.071
2010-05-01Architects Cubedm1_tt2602610.095
2010-07-24GrunwalderGIMPManual testing212630.987
2016-02-23Mark RoseManual testing2612630.797
2015-04-27omylistManual testing2632641.215
2015-04-28monstManual testing2642652.311
2015-10-11ramgeisManual testing2652664.623


ECM factoring results:
Total ECM effort:31.276 GHz-days
Estimated T-Level:25.718
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.67418.740%
302500000.14486.623%
3510000000.01099.005%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001176.443
5000050000001347.520
250000400000005017.31


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-11-29ANONYMOUSv4_computers327F803611617C280.072
1998-11-14Michael Kennv4_computers327F803611617C280.072
2015-07-03MadPooManual testing327F803611617C280.072


PRP results:
dateuseridcompidcofactorsres64
2017-10-02Oliver KruseGTX-1
6509882891075859086142761
4EE0D579CB5FBA62
2017-11-01kkmrkkblmbrbkc4.xlarge
6509882891075859086142761
4EE0D579CB5FBA62


CERT results:
No CERT results for M1616453


P-1 factor-bounds graph:
B1 = 2000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1200000, B2 = 12000000 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
266
265
264
263
261
260
258
257
this exponent TF target: 61
TF double-checked to: 67
ECM T-Level=25.72 ~= 69-bit
250
260
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280
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Last modified: 2024-03-13T02:15:48+00:00