Question

Upon integers that sum up to perfect squares

score 35 · Answer 1 · 2026-03-27 17:23:49

35

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Upon integers that sum up to perfect squares

Published on 27 Mar 2026 - 17:23

score 23 · Answer 2 · 2026-03-25 15:50:19

23

Views

Determining the integral part of the given term.

Published on 25 Mar 2026 - 15:50

score 322 · Answer 3 · 2026-03-29 21:52:56

322

Views

List all additive morphisms $f: Z_m \to Z_n$, with $Z_n$ the integers modulo $n$.

Published on 29 Mar 2026 - 21:52

score 149 · Answer 4 · 2026-03-25 18:54:47

149

Views

Prove that $\frac{\binom{2n}{n}}{n+1}$ is an integer.

Published on 25 Mar 2026 - 18:54

score 236 · Answer 5 · 2020-07-09 21:11:51

236

Views

Can we extend the monoid $(\mathcal P(A),\cup,\emptyset)$ to a group?

Published on 09 Jul 2020 - 21:11

score 38 · Answer 6 · 2020-07-10 18:33:22

38

Views

Prove the surjectivity of $\nu(r,m) = 2^{r+1}m + \frac{2^{r}(3-2(-1)^{r})-1}{3}$ to $2 \mathbb{N}+1$ via induction

Published on 10 Jul 2020 - 18:33

score 91 · Answer 7 · 2020-07-12 02:41:50

91

Views

Number Theory: Modular Arithmetic

Published on 12 Jul 2020 - 2:41

score 341 · Answer 8 · 2020-07-13 08:48:11

341

Views

The product of $46$ integers is $1$. Which of the following cannot be the sum of these $46$ integers?

Published on 13 Jul 2020 - 8:48

score 79 · Answer 9 · 2020-07-13 08:59:33

79

Views

Find the product of ($100$ digits of $3$) $333...3 × 2019$.

Published on 13 Jul 2020 - 8:59

score 73 · Answer 10 · 2020-07-21 03:36:52

73

Views

Prove that $ab$ is a cube of a positive integer.

Published on 21 Jul 2020 - 3:36

score 71 · Answer 11 · 2020-07-24 02:33:06

71

Views

A term for multiples made by using an odd/even factor

Published on 24 Jul 2020 - 2:33

score 164 · Answer 12 · 2026-03-29 19:11:00

164

Views

Find the values of $k$ that satisfy $\gcd(a,b)=5$

Published on 29 Mar 2026 - 19:11

score 301 · Answer 13 · 2020-07-25 14:18:00

301

Views

Combination to find integers satisfying a condition

Published on 25 Jul 2020 - 14:18

score 118 · Answer 14 · 2026-03-25 12:53:42

118

Views

Finding the smallest integer for filling a m×n board with consecutive integers in each row and column

Published on 25 Mar 2026 - 12:53

score 112 · Answer 15 · 2020-07-27 20:13:32

112

Views

Greatest Common Divisor Problem: Prove that $\gcd(\frac{a^3+b^3}{a+b}, a+b) = \gcd(a+b, 3ab)$

Published on 27 Jul 2020 - 20:13

List Question

Upon integers that sum up to perfect squares

Determining the integral part of the given term.

List all additive morphisms $f: Z_m \to Z_n$, with $Z_n$ the integers modulo $n$.

Prove that $\frac{\binom{2n}{n}}{n+1}$ is an integer.

Can we extend the monoid $(\mathcal P(A),\cup,\emptyset)$ to a group?

Prove the surjectivity of $\nu(r,m) = 2^{r+1}m + \frac{2^{r}(3-2(-1)^{r})-1}{3}$ to $2 \mathbb{N}+1$ via induction

Number Theory: Modular Arithmetic

The product of $46$ integers is $1$. Which of the following cannot be the sum of these $46$ integers?

Find the product of ($100$ digits of $3$) $333...3 × 2019$.

Prove that $ab$ is a cube of a positive integer.

A term for multiples made by using an odd/even factor

Find the values of $k$ that satisfy $\gcd(a,b)=5$

Combination to find integers satisfying a condition

Finding the smallest integer for filling a m×n board with consecutive integers in each row and column

Greatest Common Divisor Problem: Prove that $\gcd(\frac{a^3+b^3}{a+b}, a+b) = \gcd(a+b, 3ab)$

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