query: Diophantine Equations involving primes
positive_passages.docid: 147562
positive_passages.text: Sum of squares diophantine equation
negative_passages.docid: 35504
negative_passages.text: The Diophantine equation $x^2 + 2 = y^3$
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: 12365
negative_passages.text: Show that every prime $p>3$ is either of the form $6n+1$ or of the form $6n+5$
negative_passages.docid: 43591
negative_passages.text: How to factor numbers that are the product of two primes
negative_passages.docid: 70406
negative_passages.text: Find all values x, y and z which satisfy the equation $(x^2 + 1)(y^2 + 1) = z^2 + 1$ given that $(x^2 + 1)$ and $(y^2 + 1)$ are both primes.
negative_passages.docid: 155452
negative_passages.text: Prime factorization of square numbers
negative_passages.docid: 131731
negative_passages.text: Primes that can't be written as sum of two squares. Mod
negative_passages.docid: 75023
negative_passages.text: A finite sum of prime reciprocals
negative_passages.docid: 73515
negative_passages.text: Primes Number Theory
negative_passages.docid: 946
negative_passages.text: How to find solutions of linear Diophantine ax + by = c?
negative_passages.docid: 9043
negative_passages.text: finding infinetely many primes in three different forms of prime numbers below
negative_passages.docid: 71788
negative_passages.text: Prove existence of multiplicative inverse modulo p when p is prime
negative_passages.docid: 82482
negative_passages.text: Proving an infinite number of primes of the form 6n+1
negative_passages.docid: 84879
negative_passages.text: Solving infinite sums with primes.
negative_passages.docid: 136947
negative_passages.text: Simple Mersenne prime divisibility proofs
negative_passages.docid: 102204
negative_passages.text: Factoring product of two primes from solutions of congruence