Question

Integer-sided triangles with equal perimeters and equal areas

score 181 · Answer 1 · 2020-02-07 18:59:52

181

Views

Integer-sided triangles with equal perimeters and equal areas

Published on 07 Feb 2020 - 18:59

score 59 · Answer 2 · 2020-02-08 19:46:33

59

Views

Find which k numbers from the given set of integers multiply to give us m

Published on 08 Feb 2020 - 19:46

score 119 · Answer 3 · 2020-02-08 21:33:55

119

Views

Solving a system of equations using both arithmetic and bitwise operations

Published on 08 Feb 2020 - 21:33

score 129 · Answer 4 · 2020-02-09 03:23:10

129

Views

Find all integer values of $m$ such that the equation $\sqrt{9 - x} = \sqrt{3m - x^2 + 9x} - \sqrt{x}$ has exactly four distinct real roots.

Published on 09 Feb 2020 - 3:23

score 1.3k · Answer 5 · 2026-03-27 09:48:08

1.3k

Views

Sum of squares compared to square of sum, divided by number of elements being summed

Published on 27 Mar 2026 - 9:48

score 37 · Answer 6 · 2020-02-12 03:12:33

37

Views

How to calculate largest integer that cannot be represented by a linear combination 6a+7b?

Published on 12 Feb 2020 - 3:12

score 40 · Answer 7 · 2020-02-14 05:42:41

40

Views

Taking the Integer Power of a Number

Published on 14 Feb 2020 - 5:42

score 50 · Answer 8 · 2020-02-14 06:30:22

50

Views

How to denote subsets of $\mathbf Z$?

Published on 14 Feb 2020 - 6:30

score 95 · Answer 9 · 2026-02-23 04:06:03

95

Views

Is there a standard name for "signed distance to the nearest integer" that's reasonably succinct?

Published on 23 Feb 2026 - 4:06

score 45 · Answer 10 · 2026-03-27 08:57:31

45

Views

By which scheme should I add the elements in series $(\sum n^{-2})^2$ and $\sum n^{-4}$ to show their rational equivalence?

Published on 27 Mar 2026 - 8:57

score 87 · Answer 11 · 2026-03-25 20:33:39

87

Views

Numerical conventions which survive lexical sorting

Published on 25 Mar 2026 - 20:33

score 327 · Answer 12 · 2020-02-17 05:32:56

327

Views

Prove $a < (p+1)/n < b$ if $a,b$ are irrationals with $0<a<b$ and $p$ is greatest integer with $p/n < a$

Published on 17 Feb 2020 - 5:32

score 46 · Answer 13 · 2026-03-28 22:37:11

46

Views

sum of exponents

Published on 28 Mar 2026 - 22:37

score 231 · Answer 14 · 2020-02-19 23:23:21

231

Views

Prove if $5 \nmid n$, then $n^2 = 5k \pm 1$

Published on 19 Feb 2020 - 23:23

score 104 · Answer 15 · 2020-02-20 22:59:53

104

Views

Let $n\in\Bbb Z$. Prove that $n$ is a multiple of both $5$ and $9$ if and only if it is a multiple of $45$.

Published on 20 Feb 2020 - 22:59

List Question

Integer-sided triangles with equal perimeters and equal areas

Find which k numbers from the given set of integers multiply to give us m

Solving a system of equations using both arithmetic and bitwise operations

Find all integer values of $m$ such that the equation $\sqrt{9 - x} = \sqrt{3m - x^2 + 9x} - \sqrt{x}$ has exactly four distinct real roots.

Sum of squares compared to square of sum, divided by number of elements being summed

How to calculate largest integer that cannot be represented by a linear combination 6a+7b?

Taking the Integer Power of a Number

How to denote subsets of $\mathbf Z$?

Is there a standard name for "signed distance to the nearest integer" that's reasonably succinct?

By which scheme should I add the elements in series $(\sum n^{-2})^2$ and $\sum n^{-4}$ to show their rational equivalence?

Numerical conventions which survive lexical sorting

Prove $a < (p+1)/n < b$ if $a,b$ are irrationals with $0<a<b$ and $p$ is greatest integer with $p/n < a$

sum of exponents

Prove if $5 \nmid n$, then $n^2 = 5k \pm 1$

Let $n\in\Bbb Z$. Prove that $n$ is a multiple of both $5$ and $9$ if and only if it is a multiple of $45$.

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