Primes $p \equiv 1 \bmod{d}$ and $a^{(p-1)/d} \equiv 1 \bmod{p}$}

Suppose that $d \in {2, 3, 4, 6}$ and $a \in Z$ with $a \neq - 1$ and $a$ is not square. Let $P_{(a, d)}$ be the number of primes $p$ not exceeding $x$ such that $p \equiv 1 (m o d d)$ and $a^{(p-1)/d} \equiv 1 \pmod{p} $. I n t h i s p a p e r, w e s t u d y t h e m e a n v a l u e o f$ P_{(a,d)}$.

Primes $p \equiv 1 m o d d$ and $a^{(p - 1) / d} \equiv 1 m o d p$ }

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Primes $p \equiv 1 m o d d$ and $a^{(p - 1) / d} \equiv 1 m o d p$ }

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Primes p≡1 mod dp≡1modd and a(p−1)/d≡1 mod pa(p−1)/d≡1modp}

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Primes p≡1 mod dp≡1modd and a(p−1)/d≡1 mod pa(p−1)/d≡1modp}

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Primes $p \equiv 1 m o d d$ and $a^{(p - 1) / d} \equiv 1 m o d p$ }

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AI智能校验

Primes $p \equiv 1 m o d d$ and $a^{(p - 1) / d} \equiv 1 m o d p$ }

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AI智能校验