Question

Let a number $N=12124124612468124680124680212460824...$ ¿What is the digit $2018$?

score 89 · Answer 1 · 2026-04-14 05:38:55

89

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Let a number $N=12124124612468124680124680212460824...$ ¿What is the digit $2018$?

Published on 14 Apr 2026 - 5:38

score 111 · Answer 2 · 2026-04-15 12:10:00

111

Views

If $n\ge1$ is an integer, show that among $n,n+1,n+2$ and $n+3$, there is one which is coprime to the other three.

Published on 15 Apr 2026 - 12:10

score 1.8k · Answer 3 · 2026-04-16 18:39:43

1.8k

Views

British Maths Olympiad (BMO) 2005 Round 1 Question 1 how to make progress?

Published on 16 Apr 2026 - 18:39

score 255 · Answer 4 · 2026-04-12 08:21:03

255

Views

Derivation of the gcd formula for the $n$th cyclotomic polynomial

Published on 12 Apr 2026 - 8:21

score 296 · Answer 5 · 2026-04-09 15:16:16

296

Views

Proof explanation: Division Algorithm

Published on 09 Apr 2026 - 15:16

score 889 · Answer 6 · 2026-04-17 07:28:50

889

Views

Let $n=(6t+1)(12t+1)(18t+1)$. Show that $a^{n-1} \equiv 1\pmod n$ if $(a,n)=1$

Published on 17 Apr 2026 - 7:28

score 54 · Answer 7 · 2026-04-15 16:20:45

54

Views

Find all the numbers that satisfy the congruences.

Published on 15 Apr 2026 - 16:20

score 55 · Answer 8 · 2026-04-14 18:01:28

55

Views

Why are there are no prime divisors of $z^{4}$?

Published on 14 Apr 2026 - 18:01

score 444 · Answer 9 · 2026-04-16 16:04:07

444

Views

Integer solutions to the non linear Diophantine equation $x^5+y^5=47$

Published on 16 Apr 2026 - 16:04

score 221 · Answer 10 · 2026-04-16 02:09:47

221

Views

Does exist any integer $n\geq 1$ satisfying $\varphi(12n)=\varphi(6n+5)$, where $\varphi(m)$ denotes the Euler's totient function?

Published on 16 Apr 2026 - 2:09

score 93 · Answer 11 · 2026-04-14 16:51:39

93

Views

Any interesting properties of $\sqrt{\sqrt{100x+1}-1}=y$

Published on 14 Apr 2026 - 16:51

score 46 · Answer 12 · 2026-04-11 18:04:27

46

Views

Looking for a standard undergraduate introduction to congruence.

Published on 11 Apr 2026 - 18:04

score 53 · Answer 13 · 2026-04-17 10:00:19

53

Views

Show that $n$ is a prime number if $x,n \in\mathbb{N}>0 $ such that $1+x+x^2+x^3+...x^{n-1}$ is a prime number

Published on 17 Apr 2026 - 10:00

score 152 · Answer 14 · 2026-04-17 03:43:55

152

Views

Prove that $100|11^{10} - 1$

Published on 17 Apr 2026 - 3:43

score 57 · Answer 15 · 2026-04-16 05:22:07

57

Views

Primitive roots mod $p^k$

Published on 16 Apr 2026 - 5:22

List Question

Let a number $N=12124124612468124680124680212460824...$ ¿What is the digit $2018$?

If $n\ge1$ is an integer, show that among $n,n+1,n+2$ and $n+3$, there is one which is coprime to the other three.

British Maths Olympiad (BMO) 2005 Round 1 Question 1 how to make progress?

Derivation of the gcd formula for the $n$th cyclotomic polynomial

Proof explanation: Division Algorithm

Let $n=(6t+1)(12t+1)(18t+1)$. Show that $a^{n-1} \equiv 1\pmod n$ if $(a,n)=1$

Find all the numbers that satisfy the congruences.

Why are there are no prime divisors of $z^{4}$?

Integer solutions to the non linear Diophantine equation $x^5+y^5=47$

Does exist any integer $n\geq 1$ satisfying $\varphi(12n)=\varphi(6n+5)$, where $\varphi(m)$ denotes the Euler's totient function?

Any interesting properties of $\sqrt{\sqrt{100x+1}-1}=y$

Looking for a standard undergraduate introduction to congruence.

Show that $n$ is a prime number if $x,n \in\mathbb{N}>0 $ such that $1+x+x^2+x^3+...x^{n-1}$ is a prime number

Prove that $100|11^{10} - 1$

Primitive roots mod $p^k$

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