Question

Decimal representations containing every possible sequence

score 71 · Answer 1 · 2026-04-13 12:34:38

71

Views

Decimal representations containing every possible sequence

Published on 13 Apr 2026 - 12:34

score 165 · Answer 2 · 2026-04-13 20:27:47

165

Views

Which positive integers $n$ can be expressed as $n=a^2+b^2+c^2$ , but not with positive $a,b,c\ $?

Published on 13 Apr 2026 - 20:27

score 2k · Answer 3 · 2026-04-15 02:15:16

2k

Views

Existence of at least one inert prime

Published on 15 Apr 2026 - 2:15

score 2.4k · Answer 4 · 2026-04-14 19:35:36

2.4k

Views

For any prime number $n >5$, prove the final digit of $n^4$ is $1$

Published on 14 Apr 2026 - 19:35

score 212 · Answer 5 · 2026-04-16 06:41:23

212

Views

Does $\sum\limits_{n=1}^\infty \ln\left(\frac{p_n}{p_n - 1}\right)$ converge?

Published on 16 Apr 2026 - 6:41

score 161 · Answer 6 · 2026-04-15 14:47:08

161

Views

Show that the Quadratic Field $\Bbb Q(\sqrt{10})$ does not have the unique factorization property

Published on 15 Apr 2026 - 14:47

score 599 · Answer 7 · 2026-04-17 10:20:57

599

Views

Proving $2+2^2/2+2^3/3+2^4/4+\cdots=0$ elementarily

Published on 17 Apr 2026 - 10:20

score 100 · Answer 8 · 2026-04-19 22:26:23

100

Views

Let $E/F$ be a finite field extension of number field $F$. Can one complete integral basis of $F/Q$ to integral basis of $E/Q$?

Published on 19 Apr 2026 - 22:26

score 728 · Answer 9 · 2026-04-11 18:54:33

728

Views

Integer as sum of 6 positive squares

Published on 11 Apr 2026 - 18:54

score 109 · Answer 10 · 2026-04-13 13:02:58

109

Views

Extention of Totient Function to Reals

Published on 13 Apr 2026 - 13:02

score 76 · Answer 11 · 2026-04-10 19:04:31

76

Views

Why an additive function in number theory is not the same thing as an additive function in algebra?

Published on 10 Apr 2026 - 19:04

score 2.5k · Answer 12 · 2026-04-14 08:42:54

2.5k

Views

A square modulo every prime is a square. Proof valid?

Published on 14 Apr 2026 - 8:42

score 69 · Answer 13 · 2026-04-17 05:34:49

Show that $\exists$ infinitely many $n\in \mathbb{N}$ such that $f(n)=f(n-1)$ where $f(n)$ is the sum of remainders when $n$ divided from $1$ to $n$

score 109 · Answer 14 · 2026-04-12 08:05:05

109

Views

Hardy-Littlewood circle method applied to the binary problem

Published on 12 Apr 2026 - 8:05

score 59 · Answer 15 · 2026-04-10 10:39:27

59

Views

What is the meant by Galois group associated the number field?

Published on 10 Apr 2026 - 10:39

List Question

Decimal representations containing every possible sequence

Which positive integers $n$ can be expressed as $n=a^2+b^2+c^2$ , but not with positive $a,b,c\ $?

Existence of at least one inert prime

For any prime number $n >5$, prove the final digit of $n^4$ is $1$

Does $\sum\limits_{n=1}^\infty \ln\left(\frac{p_n}{p_n - 1}\right)$ converge?

Show that the Quadratic Field $\Bbb Q(\sqrt{10})$ does not have the unique factorization property

Proving $2+2^2/2+2^3/3+2^4/4+\cdots=0$ elementarily

Let $E/F$ be a finite field extension of number field $F$. Can one complete integral basis of $F/Q$ to integral basis of $E/Q$?

Integer as sum of 6 positive squares

Extention of Totient Function to Reals

Why an additive function in number theory is not the same thing as an additive function in algebra?

A square modulo every prime is a square. Proof valid?

Show that $\exists$ infinitely many $n\in \mathbb{N}$ such that $f(n)=f(n-1)$ where $f(n)$ is the sum of remainders when $n$ divided from $1$ to $n$

Hardy-Littlewood circle method applied to the binary problem

What is the meant by Galois group associated the number field?

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