Near-square prime
From Number
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 |