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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
249 views

Is this property of the Bell's number evident?

Let $B(n)$ denote the Bell's number which is the number of the equivalence relation which can be defined on a set of cardinality $n$. While I was trying to solve a problem, I reached another result; …
mesel's user avatar
  • 1,169
1 vote
2 answers
457 views

A prime number determined by its congruence relation?

Let $p_i$ denote the $i$-th prime number. Is there any "good function" $k(n)$ such that when we know $x_i$ for which $p_n \equiv x_i \pmod{p_i}$ for all $i\leq k(n)$, it is possible to find a unique v …
mesel's user avatar
  • 1,169