Newbetuts

Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?

Applications of additive version of Hilbert's theorem 90

Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?

Counting solutions of a cubic congruence using Gauss sums

Efficient way to find squares mod a prime power?

Polar Density of a Set of Primes

Find a short expression for a given large integer

Divisor summatory function for squares

Efficient way to compute $\sum_{i=1}^n \varphi(i) $

Prove that $\mu(n)\mu(n+1)\mu(n+2)\mu(n+3)=0$ for $n\ge 1$

Gentle introduction to algebraic number theory

Proving that $T$:$(x_1,...,x_n) \rightarrow (\frac {x_1+x_2}{2},\frac {x_2+x_3}{2},...,\frac {x_n+x_1}{2})$ leads to nonintegral components

How find all postive integer number such $(n+k)\nmid \binom{2n}{n}$

2N digit number with exactly N ones and N zeros. Prove there exists a number divisible by N

Compatibility of two definitions of the projective class group of a group ring

New posts in number-theory

17 definitions of algebraic K-theory of a ring. Which should I take?

Finding all natural $x$, $y$, $z$ satisfying $7^x+1=3^y+5^z$

How to prove $\sum_p p^{-2} < \frac{1}{2}$?

Find all integer solutions to $x^2+4=y^3$. [duplicate]

The number of divisors of a number whose sum of divisors is a perfect square

Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?

Applications of additive version of Hilbert's theorem 90

Pairs of $(p,q)$ such that $p^2 + 1 = 2 q^2$?

Counting solutions of a cubic congruence using Gauss sums

Efficient way to find squares mod a prime power?

Polar Density of a Set of Primes

Find a short expression for a given large integer

Divisor summatory function for squares

Efficient way to compute $\sum_{i=1}^n \varphi(i) $

Prove that $\mu(n)\mu(n+1)\mu(n+2)\mu(n+3)=0$ for $n\ge 1$

Gentle introduction to algebraic number theory

Proving that $T$:$(x_1,...,x_n) \rightarrow (\frac {x_1+x_2}{2},\frac {x_2+x_3}{2},...,\frac {x_n+x_1}{2})$ leads to nonintegral components

How find all postive integer number such $(n+k)\nmid \binom{2n}{n}$

2N digit number with exactly N ones and N zeros. Prove there exists a number divisible by N

Compatibility of two definitions of the projective class group of a group ring