Estimating The Density of Harshad Numbers
If we let N(x) denote the number of Harshad numbers ≤ x, then for any given ε > 0,
as shown by Jean-Marie De Koninck and Nicolas Doyon; furthermore, De Koninck, Doyon and Kátai proved that
where c = (14/27) log 10 ≈ 1.1939.
Read more about this topic: Harshad Number
Famous quotes containing the words estimating and/or numbers:
“I am sure that in estimating every man’s value either in private or public life, a pure integrity is the quality we take first into calculation, and that learning and talents are only the second.”
—Thomas Jefferson (1743–1826)
“What culture lacks is the taste for anonymous, innumerable germination. Culture is smitten with counting and measuring; it feels out of place and uncomfortable with the innumerable; its efforts tend, on the contrary, to limit the numbers in all domains; it tries to count on its fingers.”
—Jean Dubuffet (1901–1985)