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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

4 votes
1 answer
386 views

Primes of the form $d^2+d+1$

Is $d^2+d+1$ prime for infinitely many $d\in \mathbb{Z}_{>0}$? This is expected by the Bunyakovsky conjecture which says that, under some conditions, given a polynomial $p(x) \in \mathbb{Z}[x]$ we hav …
numberwat's user avatar
  • 348
6 votes
Accepted

Connection between the Jacobian Conjecture and number theory conjectures

An interesting conjecture that has relation with the Jacobian Conjecture is the following: Let $(\mathcal{O},\mathcal{M},k)$ be a complete discrete valuation ring with k finite.Let $f_{1},...,f_{n …
numberwat's user avatar
  • 348