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Squarefree Totients P-1 And Primitive Roots, Nelson A. Carella
Squarefree Totients P-1 And Primitive Roots, Nelson A. Carella
Publications and Research
This note determines an effective asymptotic formula for the number of squarefree totients $p-1$ with a fixed primitive root t u 6= ±1, v2
Results For Nonwieferich Primes, Nelson A. Carella
Results For Nonwieferich Primes, Nelson A. Carella
Publications and Research
Let $v\geq 2$ be a fixed integer, and let $x \geq 1$ be a large number. The exact asymptotic counting function for the number of nonWieferich primes $p\leq x$ such that $ v^{p-1}-1 \equiv 0 \bmod p^2$ in the interval $[1,x]$ is proposed in this note. The current results in the literature provide lower bounds, which are conditional on the $abc$ conjecture or the Erdos binary additive conjecture.