Not Always Buried Deep
... infinitely many integers n for which each fi (n) is prime, unless there is a “local
obstruction,” i.e., a prime p dividing the product f1 (n) . . . fk (n) for every value
of n. We adapt our heuristic to motivate a stronger, quantitative form of this
conjecture put forward by Bateman & Horn [BH62], s ...