Writing down harmonic numbers

🫧 Open on Bubbles The n th harmonic number is the sum of the reciprocals of the first n positive integers. H n = 1 + 1/2 + 1/3 + 1/4 + … + 1/ n The product of all the denominators is n !, so you could write H n as a fraction H n = p / q where p = n ! H n is an integer and q = n !. While p / q is a way to write H n as a fraction, it’s not the most efficient because p and n ! will have common factors. If we write H n as a reduced fraction, the denominator will be the least common multiple of the integers 1 th