Berkay Yüksel Sayim

Nonexistence of consecutive powerful triplets around cubes with mixed prime factorizations

A positive integer is powerful if every prime in its factorization occurs with exponent at least two. The Erdős–Mollin–Walsh conjecture asserts that no three consecutive integers are all powerful. Chan (Integers 25 (2025), #A7) excluded triples of the form x³−1=p³y², x³, x³+1=q³z...