Question

packing uniform cuboids into regular cube

score 114 · Answer 1 · 2026-03-27 13:02:09

114

Views

packing uniform cuboids into regular cube

Published on 27 Mar 2026 - 13:02

score 1.3k · Answer 2 · 2026-03-26 03:12:30

1.3k

Views

Is $100$ the only square number of the form $a^b+b^a$?

Published on 26 Mar 2026 - 3:12

score 1.9k · Answer 3 · 2019-07-16 03:22:54

1.9k

Views

It is impossible for $(x-1)^2+x^2+(x+1)^2$ to be a perfect square

Published on 16 Jul 2019 - 3:22

score 777 · Answer 4 · 2019-07-23 00:04:22

777

Views

Which primes $p$ satisfy $n^2 \equiv -1 \mod p$ for a perfect square $n^2$?

Published on 23 Jul 2019 - 0:04

score 808 · Answer 5 · 2026-03-26 04:51:04

808

Views

Any positive integer can be written as sum / difference of consecutive squares

Published on 26 Mar 2026 - 4:51

score 810 · Answer 6 · 2026-03-28 00:31:03

810

Views

$a, b$ are the integer part and decimal fraction of $\sqrt7$ find integer part of $\frac{a}{b}$

Published on 28 Mar 2026 - 0:31

score 58 · Answer 7 · 2026-03-25 01:18:58

58

Views

How to prove that the difference of squares of two natural numbers can't be a perfect square if their sum is a perfect square?

Published on 25 Mar 2026 - 1:18

score 161 · Answer 8 · 2026-03-27 11:49:10

161

Views

If a nine digit number is formed by the nine non zero digits with units digit $5$, prove that it must not be a perfect square.

Published on 27 Mar 2026 - 11:49

score 379 · Answer 9 · 2019-08-09 08:02:18

379

Views

Why is the sqrt of a matrix different to ^0.5

Published on 09 Aug 2019 - 8:02

score 437 · Answer 10 · 2026-03-26 17:53:30

Let a and b be natural numbers such that $2a - b, a - 2b$ and $a + b$ are all distinct squares. What is the smallest possible value of $b$?

score 57 · Answer 11 · 2019-08-16 19:37:49

57

Views

Number theory: natural sqrt of 2nd degree polynomial above the naturals.

Published on 16 Aug 2019 - 19:37

score 121 · Answer 12 · 2026-03-26 06:26:01

121

Views

a version of the famous $n!+1=m^2$ problem

Published on 26 Mar 2026 - 6:26

score 54 · Answer 13 · 2026-03-25 16:06:05

54

Views

What are rationalizing factors?

Published on 25 Mar 2026 - 16:06

score 191 · Answer 14 · 2019-08-29 09:40:52

191

Views

Regarding perfect squares

Published on 29 Aug 2019 - 9:40

score 175 · Answer 15 · 2019-09-02 17:01:58

175

Views

Knowing that $m$ and $n$ are positive integers satisfying $mn \mid m^2 + n^2 + m$, prove that $m$ is a square number.

Published on 02 Sep 2019 - 17:01

List Question

packing uniform cuboids into regular cube

Is $100$ the only square number of the form $a^b+b^a$?

It is impossible for $(x-1)^2+x^2+(x+1)^2$ to be a perfect square

Which primes $p$ satisfy $n^2 \equiv -1 \mod p$ for a perfect square $n^2$?

Any positive integer can be written as sum / difference of consecutive squares

$a, b$ are the integer part and decimal fraction of $\sqrt7$ find integer part of $\frac{a}{b}$

How to prove that the difference of squares of two natural numbers can't be a perfect square if their sum is a perfect square?

If a nine digit number is formed by the nine non zero digits with units digit $5$, prove that it must not be a perfect square.

Why is the sqrt of a matrix different to ^0.5

Let a and b be natural numbers such that $2a - b, a - 2b$ and $a + b$ are all distinct squares. What is the smallest possible value of $b$?

Number theory: natural sqrt of 2nd degree polynomial above the naturals.

a version of the famous $n!+1=m^2$ problem

What are rationalizing factors?

Regarding perfect squares

Knowing that $m$ and $n$ are positive integers satisfying $mn \mid m^2 + n^2 + m$, prove that $m$ is a square number.

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