Up: TOME 64 (112), no. 4, 2021 Previous: Navid Nemati, Mohammad Reza
be a sum of irreducible fractions with distinct
denominators. In this note we give necessary and sufficient
conditions for the sum to be an integer. The method can be a
starting point for generalizations of some problems connected to
Egyptian fractions. In this direction we propose a generalization of
two classical results of Erdos and Oblath.
Key Words: Egyptian fractions, irreducible fractions, prime factorization.
2010 Mathematics Subject Classification: Primary 11D68; Secondary 11A41.