Harshad Number - Estimating The Density of Harshad Numbers

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)

    Individually, museums are fine institutions, dedicated to the high values of preservation, education and truth; collectively, their growth in numbers points to the imaginative death of this country.
    Robert Hewison (b. 1943)