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