New posts in prime-numbers

Generalizing Ramanujan's proof of Bertrand's Postulate: Can Ramanujan's approach be used to show a prime between $4x$ and $5x$ for $x \ge 3$

Extending prime numbers digit by digit while retaining primality

Why is Euler's Totient function always even?

$-1$ as the only negative prime.

Sums of prime powers

Is a prime number still a prime when in a different base?

How to understand and appreciate the prime number industry?

Proof of lack of pure prime producing polynomials. [duplicate]

Is this of any real importance to the mathematical scientific community?

Real-world applications of prime numbers?

Any odd number is of form $a+b$ where $a^2+b^2$ is prime

What is an odd prime?

Proof that no polynomial with integer coefficients can only produce primes [duplicate]

Fractals using just modulo operation

Eyebrow-raising pattern of number of primes between terms of the Fibonacci number sequence?

Primes of the form $n^2+1$ - hard?

I'm trying to find the longest consecutive set of composite numbers

Prime number construction game

Pattern "inside" prime numbers

A conjecture involving prime numbers and circles