Near-square prime

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Definition

A near-square prime of type for fixed is a prime that can be written in the form . Note that we consider near-square primes for not a perfect square, because if is a perfect square, then factorizes algebraically.

According to the Bunyakovsky conjecture, for any fixed not a perfect square, there should be infinitely many near-square primes of the form .

Occurrence

Value of Polynomial First few prime values
-1 2, 5, 17, 37, 101, 197, 257, [SHOW MORE]View list on OEIS