Kempner series is a slightly depleted harmonic series. It is denoted as K_{0} or K_{1} . K_{0} is expressed by omitting all the terms whose denominator is expressed in decimal system, containing the digit zero. K_{0} is expressed by omitting all the terms whose denominator contains the digit one. Sum of the series is less than eighty.

Kempner series (0) can be given as 1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/11+1/12+.......+1/19+1/21+.....1/29+1/31+.....

Kempner series (1) can be given as K_{1}=1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/(20)+1/(22)+1/(23)+....

Kempner series is a slightly depleted harmonic series. It is denoted as K_{0} or K_{1} . K_{0} is expressed by omitting all the terms whose denominator is expressed in decimal system, containing the digit zero. K_{0} is expressed by omitting all the terms whose denominator contains the digit one. Sum of the series is less than eighty.

Kempner series (0) can be given as 1/1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/11+1/12+.......+1/19+1/21+.....1/29+1/31+.....

Kempner series (1) can be given as K_{1}=1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/(20)+1/(22)+1/(23)+....