Near-square prime

From Number
Revision as of 18:30, 3 July 2012 by Vipul (Talk | contribs)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


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