List questions from number-theory

Published on 23 Apr 2026 - 20:26

174

Views

showing $\pi^r$ is irrational

Published on 13 Apr 2026 - 8:42

59

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Reverse a modular permutation

Published on 13 Apr 2026 - 19:30

170

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Is the Fibonacci sequence the only increasing strong divisibility sequence such that u_0=0 and u_1=1?

Published on 14 Apr 2026 - 18:10

336

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Find all positive integers $n$ such that $\sqrt{1996\cdot1997^n+1997 }$ is a perfect square.

Published on 17 Apr 2026 - 9:55

131

Views

Is the sum of the reciprocals of Ramanujan primes divergent?

Published on 14 Apr 2026 - 18:11

935

Views

Showing that a number is prime if norm is prime

Published on 12 Apr 2026 - 11:10

948

Views

Prove that only units of $\Bbb Z[\sqrt d] $ are $\pm 1$.

Published on 16 Apr 2026 - 4:43

117

Views

Do there exist any integer solutions for $y=\log_2(1+3^x)$?

Published on 24 Apr 2026 - 18:06

312

Views

How many integers $\leq n$ are a sum of two squares as $n \to \infty$?

Published on 12 Apr 2026 - 13:54

34

Views

For $A = \mathbb{F}_q[t]$, what is the meaning of $f\in A[x]$?

Published on 17 Apr 2026 - 13:59

60

Views

Why is $\mathbb{Q}_p\langle T\rangle/\mathfrak{m}$ a finite extension of $\mathbb{Q}_p$

Published on 16 Apr 2026 - 21:31

332

Views

Add together numbers to make final number?

Published on 10 Apr 2026 - 17:51

232

Views

Norm compatibility of ideals and ideles

Published on 13 Apr 2026 - 3:51

73

Views

Play with numbers

Published on 12 Apr 2026 - 12:17

List Question

Multiple Mathematical Induction

showing $\pi^r$ is irrational

Reverse a modular permutation

Is the Fibonacci sequence the only increasing strong divisibility sequence such that u_0=0 and u_1=1?

Find all positive integers $n$ such that $\sqrt{1996\cdot1997^n+1997 }$ is a perfect square.

Is the sum of the reciprocals of Ramanujan primes divergent?

Showing that a number is prime if norm is prime

Prove that only units of $\Bbb Z[\sqrt d] $ are $\pm 1$.

Do there exist any integer solutions for $y=\log_2(1+3^x)$?

How many integers $\leq n$ are a sum of two squares as $n \to \infty$?

For $A = \mathbb{F}_q[t]$, what is the meaning of $f\in A[x]$?

Why is $\mathbb{Q}_p\langle T\rangle/\mathfrak{m}$ a finite extension of $\mathbb{Q}_p$

Add together numbers to make final number?

Norm compatibility of ideals and ideles

Play with numbers

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