N. Carella

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math.GM2024

Density of Squarefree Totients $p - 1$ and Primitive Roots

N. A. Carella

This note determines an effective asymptotic formula for the number of squarefree totients $p - 1$ with a fixed primitive root $u \neq = \pm 1, v^{2}$ .

math.GM2024

Legendre Conjecture over Arithmetic Progressions

N. A. Carella

Let $1 \leq a < q$ be a pair of small integers such that $g cd (a, q) = 1$ and let $x > 1$ be a large number. This note discusses the existence of a short sequence of primes $p\equiv a\bmod…

Density of Squarefree Totients p−1 and Primitive Roots

Legendre Conjecture over Arithmetic Progressions

Density of Squarefree Totients $p - 1$ and Primitive Roots