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A341577 Decimal expansion of log(658) * log(1398). 3

%I

%S 4,6,9,9,9,9,9,9,9,9,7,1,8,6,0,0,2,6,6,5,7,8,0,2,5,9,3,6,0,2,8,7,9,9,

%T 9,6,8,0,2,1,9,7,9,4,4,6,4,3,4,7,3,5,5,3,4,9,5,1,3,7,1,9,7,8,6,8,4,2,

%U 9,3,2,3,8,1,3,8,4,6,3,7,0,9,8,0,7,4,9,9,5,3,7,9,2,1,4,1,4

%N Decimal expansion of log(658) * log(1398).

%C A near-integer close to 47.

%C Conjecture:

%C If a, b are integers > 1,

%C x = log(a) * log(b),

%C c = abs(x - round(x)),

%C d = c / abs(c - 1 / (a * b)),

%C then d is at minimum for a = 658 and b = 1398.

%F Equals log(658) * log(1398).

%F Equals log(2 * 7 * 47) * log(2 * 3 * 233).

%e 46.9999999971860026...

%p Digits:=100; evalf(ln(658)*ln(1398));

%t RealDigits[Log[658]*Log[1398],10,100][[1]]

%o (PARI) default(realprecision, 100); log(658) * log(1398)

%o (MATLAB) format long; log(658) * log(1398)

%Y Cf. A341651, A341652, A341653.

%K nonn,cons

%O 2,1

%A _Michal Paulovic_, Feb 14 2021

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Last modified July 27 21:21 EDT 2021. Contains 346316 sequences. (Running on oeis4.)