List questions from prime-numbers

Published on 01 Jun 2014 - 14:23

141

Views

Is ${(prime^2-1) \over 24}$ always a member of the generalized pentagonal number set?

Published on 01 Jun 2014 - 18:13

63

Views

prove that $N$ is divisible by $1,2,\ldots,k$ which $k+1$ is the lowest prime number after $N$

Published on 27 Mar 2026 - 17:57

29

Views

Examine if $\exists M$ such that $\forall n>M$, $\pi(2n)$ $-$ $\pi(c_n)$ $>$ $0$

Published on 03 Jun 2014 - 13:00

10.5k

Views

Are numbers of the form $n^2+n+17$ always prime

Published on 03 Jun 2014 - 20:21

704

Views

Upper bound for the difference between number-of-divisors and sum-of-divisors functions

Published on 04 Jun 2014 - 0:37

231

Views

Prove that $a^n+b^n \equiv (a+b)^n \mod n$, if $n$ is prime and $a,b$ are integers.

Published on 07 Apr 2026 - 3:09

461

Views

How to use Legendre symbol to find a prime which divides $ax^2+b$?

Published on 25 Mar 2026 - 23:22

490

Views

Primes as a difference of powers

Published on 28 Mar 2026 - 10:34

5.9k

Views

Math Olympiad Prime Number Question

Published on 05 Jun 2014 - 7:43

113

Views

A polynomial formula for the primes

Published on 05 Jun 2014 - 13:48

403

Views

Number of the form $3k+2$ has a prime factor of the same form

Published on 06 Jun 2014 - 1:45

1.4k

Views

Zhang's theorem and Polignac's conjecture

Published on 25 Mar 2026 - 7:42

188

Views

Divisibility of sum of exponents

Published on 07 Apr 2026 - 4:45

291

Views

On Newman/Zagier's proof of PNT

Published on 02 Apr 2026 - 7:08

List Question

Proof that no polynomial with integer coefficients can only produce primes

Is ${(prime^2-1) \over 24}$ always a member of the generalized pentagonal number set?

prove that $N$ is divisible by $1,2,\ldots,k$ which $k+1$ is the lowest prime number after $N$

Examine if $\exists M$ such that $\forall n>M$, $\pi(2n)$ $-$ $\pi(c_n)$ $>$ $0$

Are numbers of the form $n^2+n+17$ always prime

Upper bound for the difference between number-of-divisors and sum-of-divisors functions

Prove that $a^n+b^n \equiv (a+b)^n \mod n$, if $n$ is prime and $a,b$ are integers.

How to use Legendre symbol to find a prime which divides $ax^2+b$?

Primes as a difference of powers

Math Olympiad Prime Number Question

A polynomial formula for the primes

Number of the form $3k+2$ has a prime factor of the same form

Zhang's theorem and Polignac's conjecture

Divisibility of sum of exponents

On Newman/Zagier's proof of PNT

Trending Questions

Popular # Hahtags

Popular Questions