Let $X = Y \times_{\mathbb{F}_q} C$, with $Y, C / \mathbb{F}_q$ smooth projective varieties, $C$ a curve. Let $d = \dim_{\mathbb{F}_q} X$. We can consider the local zeta function $Z(X, t) = \prod\limits_{i = 0}^{2d} \det(1 - t \operatorname{Frob}_q | H^i(X_{\overline{F}_q}, \mathbb{Q}_\ell))^{(-1...

Let $a(n)$ be A106483 (i.e., primes $p$ such that $2p^2-1$ is also prime). Let $b(n)$ be an integer sequence such that $b(n) = B$ after the whole transformation where we start with $A = n$, $B = 1$, $C$ and then for $i$ from $1$ to $n-1$ apply $C := \gcd(A, B)$, $A := A + 2n - C$, $B := B + C$....