Newbetuts

For each $n$, does there exist a prime $p$ and integer $k$ such that $p^k - 1$ has exactly $n$ prime divisors?

What does this music video teach us about 863?

Solving a Diophantine equation: $p^n+144=m^2$

Is $\prod_{n=1}^\infty P_{2n-1}$ regularizable?

Question on Concatenation of Prime Numbers

Does the prime sequence satisfy $p_n+p_m \le p_{n+m} < p_n p_m$?

Degree of polynomial interpolating the primes

Do $\lambda(n)$ and $\pi(n)$ coincide infinitely often?

Are differences between powers of 2 equal to differences between powers of 3 infinitely often?

Are there infinitely many pairs of primes where each divides one more than the square of the other?

Two randomly chosen coprime integers

A conjecture about integer polynomials and primes

An odd (potential) primality test

The largest possible prime gap?

New posts in prime-numbers

Show that $\sum\limits_pa_p$ converges iff $\sum\limits_{n}\frac{a_n}{\log n}$ converges

Conjecture about natural number satisfying $ m(n)^k+1\space\mid\space n^{2k}+1 $

No canonical non-quadratic residue for primes $\equiv 1 \bmod 8$?

A way to solve the gap between prime numbers

On uniqueness of sums of prime powers

A congruence involving Chebyshev polynomials

For each $n$, does there exist a prime $p$ and integer $k$ such that $p^k - 1$ has exactly $n$ prime divisors?

What does this music video teach us about 863?

Solving a Diophantine equation: $p^n+144=m^2$

Is $\prod_{n=1}^\infty P_{2n-1}$ regularizable?

Question on Concatenation of Prime Numbers

Does the prime sequence satisfy $p_n+p_m \le p_{n+m} < p_n p_m$?

Degree of polynomial interpolating the primes

Do $\lambda(n)$ and $\pi(n)$ coincide infinitely often?

Are differences between powers of 2 equal to differences between powers of 3 infinitely often?

Are there infinitely many pairs of primes where each divides one more than the square of the other?

Two randomly chosen coprime integers

A conjecture about integer polynomials and primes

An odd (potential) primality test

The largest possible prime gap?