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 Number
Famous quotes containing the word magnitude:
“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)
“Although a man may lose a sense of his own importance when he is a mere unit among a busy throng, all utterly regardless of him, it by no means follows that he can dispossess himself, with equal facility, of a very strong sense of the importance and magnitude of his cares.”
—Charles Dickens (1812–1870)
“Government is either organized benevolence or organized madness; its peculiar magnitude permits no shading.”
—John Updike (b. 1932)