Question

How is the missing digit calculated?

score 529 · Answer 1 · 2026-04-09 03:26:18

529

Views

How is the missing digit calculated?

Published on 09 Apr 2026 - 3:26

score 245 · Answer 2 · 2026-05-11 06:39:50

245

Views

Positive integer solution of Diophantine equation $a^2+b^2=z^3$

Published on 11 May 2026 - 6:39

score 889 · Answer 3 · 2026-04-17 13:44:29

889

Views

Prove that if $m$ divide $n$ then $x^{p^{m-1}}-1$ divide $x^{p^{n-1}}-1$

Published on 17 Apr 2026 - 13:44

score 811 · Answer 4 · 2026-05-10 20:39:20

811

Views

Prove that $n^2$ is even if and only if $n$ is even

Published on 10 May 2026 - 20:39

score 232 · Answer 5 · 2026-04-11 17:38:45

232

Views

Prove that in every 100 consecutive integers there is an integer whose digits sum to a number divisible by 14

Published on 11 Apr 2026 - 17:38

score 45 · Answer 6 · 2026-04-15 21:17:41

45

Views

Proving finite bases for a Harshad number?

Published on 15 Apr 2026 - 21:17

score 177 · Answer 7 · 2026-04-16 10:11:52

177

Views

Let $p\gt 3$ be an prime. If $\sum_{k=1}^{p-1} \frac{1}{k}=\frac{a}{b}$, where $\gcd(a,b)=1$. Prove that $p\mid a$.

Published on 16 Apr 2026 - 10:11

score 1.3k · Answer 8 · 2026-05-10 20:00:56

1.3k

Views

'Gauss's Algorithm' for computing modular fractions and inverses

Published on 10 May 2026 - 20:00

score 72 · Answer 9 · 2026-04-15 21:44:39

72

Views

How to find all $x \in \mathbb{Q}$ and $r \in \mathbb{Q}$ such that $(1+x)^r$ becomes a rational number?

Published on 15 Apr 2026 - 21:44

score 36 · Answer 10 · 2026-04-15 09:40:01

36

Views

HCF of polynomials

Published on 15 Apr 2026 - 9:40

score 215 · Answer 11 · 2026-04-17 14:51:19

215

Views

Solve $\left(\frac mn\right)^k=0.\overline{x_1x_2...x_9}$ (no computers!)

Published on 17 Apr 2026 - 14:51

score 550 · Answer 12 · 2026-04-12 11:30:44

550

Views

Determining the missing digits of $15! \equiv 1\square0767436\square000$ without actually calculating the factorial

Published on 12 Apr 2026 - 11:30

score 143 · Answer 13 · 2026-04-13 07:50:45

143

Views

Sum of 2 squares implies efficient factorization

Published on 13 Apr 2026 - 7:50

score 1.3k · Answer 14 · 2026-04-16 15:08:43

1.3k

Views

Prove that $\text{gcd}(a, p) = 1 \implies p\nmid a $ is true.

Published on 16 Apr 2026 - 15:08

score 59 · Answer 15 · 2026-04-17 09:03:16

Prove or disprove: If the least common multiple of $a_1, a_2, ..., a_n$ is odd, then none of the $a_i$, $i = 1, ..., n$, are even.

List Question

How is the missing digit calculated?

Positive integer solution of Diophantine equation $a^2+b^2=z^3$

Prove that if $m$ divide $n$ then $x^{p^{m-1}}-1$ divide $x^{p^{n-1}}-1$

Prove that $n^2$ is even if and only if $n$ is even

Prove that in every 100 consecutive integers there is an integer whose digits sum to a number divisible by 14

Proving finite bases for a Harshad number?

Let $p\gt 3$ be an prime. If $\sum_{k=1}^{p-1} \frac{1}{k}=\frac{a}{b}$, where $\gcd(a,b)=1$. Prove that $p\mid a$.

'Gauss's Algorithm' for computing modular fractions and inverses

How to find all $x \in \mathbb{Q}$ and $r \in \mathbb{Q}$ such that $(1+x)^r$ becomes a rational number?

HCF of polynomials

Solve $\left(\frac mn\right)^k=0.\overline{x_1x_2...x_9}$ (no computers!)

Determining the missing digits of $15! \equiv 1\square0767436\square000$ without actually calculating the factorial

Sum of 2 squares implies efficient factorization

Prove that $\text{gcd}(a, p) = 1 \implies p\nmid a $ is true.

Prove or disprove: If the least common multiple of $a_1, a_2, ..., a_n$ is odd, then none of the $a_i$, $i = 1, ..., n$, are even.

Trending Questions

Popular # Hahtags

Popular Questions