4 problems

Jacobi-symbol conjecture for $c_p$. For any odd prime $p$,

Let $i\geq 1$ be odd, set $t=3i^2-1$, and define … For the input $b$ described in Section 2, the polynomial $p(x)$ gives the required values of the Jacobi symbol. Conjecture 3.1. F…

Let $e>1$ be a given integer. For any integer $d>2$ with $\gcd(d,e)=1$, let $\left[\frac{d}{e}\right]$ denote the integer part of $d/e$. Let $\mathbb{P}$ be the set of primes. Then…

Let $p$) be a prime with $p\equiv13,17\pmod{24}$. The symbols $(8,18)_p$ and $[8,18]_p$ denote the Jacobi-symbol determinants studied in the paper. Sun's conjecture. … This conject…