Number of practical numbers between squares of adjacent natural numbers
A number h was defined as a practical number if for any natural number m that satisfied 1≤m≤h can be represented as the sum of some factors of h.In reference[1],proposed a conjecture:for any natural number,there existed N>0 such that whenever n>N,there were k practical numbers intheinterval(n2,(n +1)2).It can be proved by using Theorem 9 of reference[2].
practical numberprime numberLegendre conjecturedivisionsum of the divisorsmathematical induction
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