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%I #35 Mar 03 2021 09:04:39
%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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