Question

Is every digit sequence contained in a multiple of any other natural number?

score 49 · Answer 1 · 2016-08-17 17:36:40

49

Views

Is every digit sequence contained in a multiple of any other natural number?

Published on 17 Aug 2016 - 17:36

score 251 · Answer 2 · 2016-12-22 02:44:57

251

Views

Combinatorial number theory, what is $\lim_{n \to \infty} {\ln f(n)\over \ln n}$?

Published on 22 Dec 2016 - 2:44

score 878 · Answer 3 · 2017-01-15 03:28:33

878

Views

Is there a way to generalize the polygonal and pyramidal numbers to higher dimensions?

Published on 15 Jan 2017 - 3:28

score 245 · Answer 4 · 2017-01-24 17:57:50

245

Views

Integer solutions to $a_1+a_2+a_3+\cdots a_n = N$, where $l_i \leq a_i \leq r_i$ for each $i=1,2,\ldots,n$

Published on 24 Jan 2017 - 17:57

score 15 · Answer 5 · 2023-03-07 16:49:59

15

Views

"halfthink sets" contain n and n+1

Published on 07 Mar 2023 - 16:49

score 77 · Answer 6 · 2023-04-15 23:51:55

77

Views

A problem involving an identity relating Bernoulli numbers and Stirling numbers of the first kind

Published on 15 Apr 2023 - 23:51

score 106 · Answer 7 · 2023-05-13 20:05:22

106

Views

Can anyone help with this combinatorial number theory problem involving complex numbers? (From Problems from the Book Ch. 7)

Published on 13 May 2023 - 20:05

score 49 · Answer 8 · 2023-05-18 17:40:05

49

Views

How to show $A_x:= \{ \left\lfloor x^n\right\rfloor:n\in\mathbb{N}\}$ is not an additive basis (of order $k=2$) of $\mathbb{N}$ if $x>1?$

Published on 18 May 2023 - 17:40

score 82 · Answer 9 · 2023-05-28 13:56:27

82

Views

Any $n$ distinct positive integers always have three of them with large least common multiple

Published on 28 May 2023 - 13:56

score 30 · Answer 10 · 2023-06-22 17:17:47

30

Views

Skolem-Mahler-Lech Converse

Published on 22 Jun 2023 - 17:17

score 33 · Answer 11 · 2023-08-11 20:37:39

33

Views

Showing that a set of equations have positive density of solutions

Published on 11 Aug 2023 - 20:37

score 101 · Answer 12 · 2023-09-22 16:10:52

101

Views

If $\mathbb{N}$ is partitioned into finitely many subsets, must one of the subsets be a finite basis?

Published on 22 Sep 2023 - 16:10

score 63 · Answer 13 · 2023-10-02 05:25:36

63

Views

Largest subset of $\{1, 2, ..., n\}$ containing no two elements whose product is a square

Published on 02 Oct 2023 - 5:25

score 100 · Answer 14 · 2026-02-23 04:22:29

100

Views

How many subsets $S$ of integer interval $[0,n]$ such that $n, n-1 \not \in S+S$?

Published on 23 Feb 2026 - 4:22

score 64 · Answer 15 · 2026-02-23 04:24:13

64

Views

What is the maximum range of a convex finite additive 2-basis of cardinality k?

Published on 23 Feb 2026 - 4:24

List Question

Is every digit sequence contained in a multiple of any other natural number?

Combinatorial number theory, what is $\lim_{n \to \infty} {\ln f(n)\over \ln n}$?

Is there a way to generalize the polygonal and pyramidal numbers to higher dimensions?

Integer solutions to $a_1+a_2+a_3+\cdots a_n = N$, where $l_i \leq a_i \leq r_i$ for each $i=1,2,\ldots,n$

"halfthink sets" contain n and n+1

A problem involving an identity relating Bernoulli numbers and Stirling numbers of the first kind

Can anyone help with this combinatorial number theory problem involving complex numbers? (From Problems from the Book Ch. 7)

How to show $A_x:= \{ \left\lfloor x^n\right\rfloor:n\in\mathbb{N}\}$ is not an additive basis (of order $k=2$) of $\mathbb{N}$ if $x>1?$

Any $n$ distinct positive integers always have three of them with large least common multiple

Skolem-Mahler-Lech Converse

Showing that a set of equations have positive density of solutions

If $\mathbb{N}$ is partitioned into finitely many subsets, must one of the subsets be a finite basis?

Largest subset of $\{1, 2, ..., n\}$ containing no two elements whose product is a square

How many subsets $S$ of integer interval $[0,n]$ such that $n, n-1 \not \in S+S$?

What is the maximum range of a convex finite additive 2-basis of cardinality k?

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