List questions from number-theory

Published on 10 May 2026 - 19:38

110

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proof that $\frac{m^a}{2}+\frac{m}{2}-1$ is not a prime number

Published on 17 Apr 2026 - 4:27

887

Views

Why is it Euler's 'Totient' Function?

Published on 14 Apr 2026 - 7:19

66

Views

How many pairs $(x,y)$ such that $x+y=n$ have an $x$ or $y$ divisible by 3 but $x$ and $y$ are not equal to 3?

Published on 16 May 2026 - 0:02

46

Views

Same amount of divisors

Published on 12 Apr 2026 - 3:03

1.3k

Views

Proving fraction is irreducible

Published on 15 May 2026 - 14:08

87

Views

Expected number of digits of the second-largest prime factor of a very large composite number?

Published on 15 May 2026 - 14:10

129

Views

Snake Game Combinatorics

Published on 16 Apr 2026 - 11:41

3.2k

Views

What proportion of positive integers have two factors that differ by 1?

Published on 10 Apr 2026 - 0:44

349

Views

What is the Explicit Formula for $\log(\zeta(s))$?

Published on 10 May 2026 - 14:05

651

Views

Is there any formal proof for the correctness of long multiplication/division method?

Published on 12 Apr 2026 - 12:46

86

Views

Formalizing an observation

Published on 22 Apr 2026 - 21:06

105

Views

Sum & Product of Two Algebraic Numbers

Published on 13 Apr 2026 - 3:59

103

Views

is it true that there are infinitely many primes $P$ of the form $p_0^{\alpha_0}p_1^{\alpha_1}p_2^{\alpha_2}...p_k^{\alpha_k}+1$?

Published on 17 Apr 2026 - 9:28

207

Views

if $19a^2 \equiv b^2 \pmod 7$ then $19a^2 \equiv b^2 \pmod {7^2}$

Published on 10 May 2026 - 12:54

List Question

Show $ \sum_f \lambda(f)t^{\deg f} = \prod_g \big(1 - \lambda(g)t^{\deg g}\big)^{-1} $

proof that $\frac{m^a}{2}+\frac{m}{2}-1$ is not a prime number

Why is it Euler's 'Totient' Function?

How many pairs $(x,y)$ such that $x+y=n$ have an $x$ or $y$ divisible by 3 but $x$ and $y$ are not equal to 3?

Same amount of divisors

Proving fraction is irreducible

Expected number of digits of the second-largest prime factor of a very large composite number?

Snake Game Combinatorics

What proportion of positive integers have two factors that differ by 1?

What is the Explicit Formula for $\log(\zeta(s))$?

Is there any formal proof for the correctness of long multiplication/division method?

Formalizing an observation

Sum & Product of Two Algebraic Numbers

is it true that there are infinitely many primes $P$ of the form $p_0^{\alpha_0}p_1^{\alpha_1}p_2^{\alpha_2}...p_k^{\alpha_k}+1$?

if $19a^2 \equiv b^2 \pmod 7$ then $19a^2 \equiv b^2 \pmod {7^2}$

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