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

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, 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, 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

Offset

2,1

Comments

A near-integer close to 47.

Conjecture:

If a, b are integers > 1,

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

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

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

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

Links

Table of n, a(n) for n=2..98.

Formula

Equals log(658) * log(1398).

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

Example

46.9999999971860026...

Maple

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

Mathematica

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

Prog

(PARI) default(realprecision, 100); log(658) * log(1398)
(MATLAB) format long; log(658) * log(1398)

Crossrefs

Cf. A341651, A341652, A341653.

Sequence in context: A277893 A197575 A201660 * A094115 A339856 A163297

Adjacent sequences: A341574 A341575 A341576 * A341578 A341579 A341580

Keyword

nonn,cons

Author

Michal Paulovic, Feb 14 2021

Status

approved