List questions from number-theory

Published on 11 May 2026 - 6:19

391

Views

$p$-adic values of rational points on elliptic curves

Published on 14 May 2026 - 16:17

91

Views

show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

Published on 15 May 2026 - 18:14

80

Views

What are the prime divisors of $\det(A_n)$, where $A_n$ is the $n\times n$ matrix given by $(A_n)_{i,j}={n\choose|i-j|}$?

Published on 11 May 2026 - 8:56

107

Views

Do these arguments correctly predict $\sum_{r=1}^n \mu(r)$

Published on 10 May 2026 - 15:22

1k

Views

Smallest positive integer that can be expressed as a linear combination of two integers

Published on 14 Apr 2026 - 7:27

50

Views

Relating binary quadratic forms and quadratic number fields

Published on 17 Apr 2026 - 13:52

233

Views

Are numbers in which all substrings are primes finite regardless of base?

Published on 12 Apr 2026 - 10:40

120

Views

Solving $x^2+y^2=r$

Published on 16 Apr 2026 - 15:50

189

Views

Improved sieve for primes and prime twins?

Published on 15 May 2026 - 5:52

53

Views

The nature of the number $a$ where $\log_p(q)=a$

Published on 16 Apr 2026 - 13:10

248

Views

Primitive Trinomial for $82589933$?

Published on 12 Apr 2026 - 1:37

256

Views

Does $\text{SO}_2(\mathbb{Q}_5)$ contain non-trivial elements?

Published on 16 Apr 2026 - 9:33

414

Views

Definition of the weight $k$ hyperbolic Laplacian

Published on 10 May 2026 - 19:14

68

Views

About the prime divisor of a quadratic function

Published on 12 Apr 2026 - 7:53

List Question

Divisor of $x^2+x+1$ can be square number?

$p$-adic values of rational points on elliptic curves

show that $(1^p)^k+(2^p)^k+\cdots+((p-1)^p)^k$ is divisible by $p$

What are the prime divisors of $\det(A_n)$, where $A_n$ is the $n\times n$ matrix given by $(A_n)_{i,j}={n\choose|i-j|}$?

Do these arguments correctly predict $\sum_{r=1}^n \mu(r)$

Smallest positive integer that can be expressed as a linear combination of two integers

Relating binary quadratic forms and quadratic number fields

Are numbers in which all substrings are primes finite regardless of base?

Solving $x^2+y^2=r$

Improved sieve for primes and prime twins?

The nature of the number $a$ where $\log_p(q)=a$

Primitive Trinomial for $82589933$?

Does $\text{SO}_2(\mathbb{Q}_5)$ contain non-trivial elements?

Definition of the weight $k$ hyperbolic Laplacian

About the prime divisor of a quadratic function

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