Magnitude
Since is asymptotic to, the number of digits in is asymptotic to . As a consequence, for every integer there are either 4 or 5 Fibonacci numbers with d decimal digits.
More generally, in the base b representation, the number of digits in is asymptotic to .
Read more about this topic: Fibonacci Numbers
Famous quotes containing the word magnitude:
“Sometimes you’re overwhelmed when a thing comes, and you do not realize the magnitude of the affair at that moment. When you get away from it, you wonder, did it really happen to you.”
—Marian Anderson (1902–1993)
“War is pillage versus resistance and if illusions of magnitude could be transmuted into ideals of magnanimity, peace might be realized.”
—Marianne Moore (1887–1972)
“Government is either organized benevolence or organized madness; its peculiar magnitude permits no shading.”
—John Updike (b. 1932)