# Questions tagged [prime-numbers]

Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.

**0**

**0**answers

### How many solutions to $p_i|a_{i,1} p_1 + \dotsc + a_{i,n} p_n$?

**8**

**0**answers

### A006517: Integers with $n\mid 2^n+2$

**1**

**0**answers

### Wieferich primes and arithmetic prgressions

**6**

**0**answers

### Additive and multiplicative convolution deeply related in modular forms

**2**

**1**answer

### On an oscillation Theorem involving the Chebyshev function and the zeros of the Riemann zeta function

**-2**

**0**answers

### Is the sequence $\left(\pi\left(\frac{n(n+1)}2+1\right)\right)_{n\ge1}$ an addition chain?

**0**

**0**answers

### Is the fundamental partition associated to $n$ the partition of $r_{0}(n)$ in $k_{0}(n)$ parts that maximizes entropy?

**4**

**1**answer

### Why does each integer between two consecutive primes have at least one “unique” non-trivial divisor?

**1**

**0**answers

### Iterated Twin Prime conjecture [closed]

**8**

**0**answers

### Prime character sums

**19**

**4**answers

### Can anything deep be said uniformly about conjectures like Goldbach's?

**5**

**2**answers

### Least (and largest) possible number of non-relatively prime pairs among consecutive integers

**4**

**0**answers

### Consecutive integers each of which has a large prime factor

**3**

**1**answer

### Cipolla's Prime numbers function: Computing the coefficients of the polynomial

**4**

**1**answer