query: Number theory problem of finding prime values p and q
positive_passages.docid: 87282
positive_passages.text: Diophantine equation involving prime numbers : $p^3 - q^5 = (p+q)^2$
negative_passages.docid: 10425
negative_passages.text: Suppose that $5\leq q\leq p$ are both prime. Prove that $24|(p^2-q^2)$.
negative_passages.docid: 11564
negative_passages.text: $\mathbb{Q}(\sqrt{p},\sqrt[3]{q})=\mathbb{Q}(\sqrt{p}\sqrt[3]{q})$ for distinct prime $p,q$
negative_passages.docid: 81267
negative_passages.text: A simple doubt in number theory problem.
negative_passages.docid: 158213
negative_passages.text: RSA with probable primes
negative_passages.docid: 66851
negative_passages.text: If $p,q$ are primes $(pq,a)=1$ and $p-1|q-1$ then prove $a^{q-1}\equiv 1\pmod{pq}$
negative_passages.docid: 23523
negative_passages.text: Two problems on number theory
negative_passages.docid: 56328
negative_passages.text: Find p is the prime number which $\frac{p+1}{2}$ and $\frac{p^2+1}{2}$ both are square number.
negative_passages.docid: 12250
negative_passages.text: How to find the prime factorization of $100!$.
negative_passages.docid: 153647
negative_passages.text: Elementary number theory and quadratic
negative_passages.docid: 151636
negative_passages.text: Fast way to calculate n! mod m where m is prime?
negative_passages.docid: 105444
negative_passages.text: Possible values of prime gaps
negative_passages.docid: 65826
negative_passages.text: Find a prime number $p$ and an integer $b<p$ such that $p$ divides $b^{p−1}−1$.
negative_passages.docid: 158161
negative_passages.text: $\mathbb{Q}(\sqrt p_{1}+\sqrt p_{2})=\mathbb{Q}(\sqrt p_{1},\sqrt p_{2})$ for $p_{1},p_{2}$ primes.
negative_passages.docid: 34588
negative_passages.text: Number Theory: $p!+p=n^2$, $p$ = prime
negative_passages.docid: 155886
negative_passages.text: let q be an odd prime and p a prime dividing $1+n+\dots+n^{q-1}$
negative_passages.docid: 144575
negative_passages.text: Factoring n, where n=pq and p and q are consecutive primes