Needs a steward / erdos-931
Steward erdos-931
Let $k_1 \geq k_2 \geq 3$. Are there only finitely many $n_2\geq n_1 + k_1$ such that $$ \prod_{1\leq i\leq k_1}(n_1 + i)\ \text{and}\ \prod_{1\leq j\leq k_2} (n_2 + j) $$ have the same prime factors?
What the role asks
- Understand what the network proves on this problem.
- Write it up, and sign the explainer of the proof that closes it.
- Best efforts, no deadline: step down at any time.