John M. Campbell

Disproofs of two conjectures concerning nondeficient numbers

Abstract A positive integer n is said to be nondeficient if σ ( n ) ≥ 2 n $\sigma (n) \geq 2n$ sigma left parenthesis n right parenthesis greater than or equals 2 n . Letting the positive divisors of an integer n > 1 $n> 1$ n greater than 1 be written as 1 = d 0 < d 1 < ⋯ < d k <...