Question

Hybrid 'Discrete triangular number base' numbers

score 50 · Answer 1 · 2021-07-09 22:22:14

50

Views

Hybrid 'Discrete triangular number base' numbers

Published on 09 Jul 2021 - 22:22

score 366 · Answer 2 · 2021-08-02 19:43:21

366

Views

Is this a strict Lower bound on the amount of numbers less than x but coprime to y?

Published on 02 Aug 2021 - 19:43

score 505 · Answer 3 · 2021-08-28 15:35:55

505

Views

What is the general formula of the sum $\sum_{k=0}^{n}(-1)^{k} \binom{n}{k}\binom{k/2}{m}$ for $m,n\in\mathbb{N}$?

Published on 28 Aug 2021 - 15:35

score 64 · Answer 4 · 2021-09-07 15:38:31

64

Views

Prove or disprove: If [$q\in\mathbb{Q}$ and $a+b = x+y+z = q$] then [$a,b,x,y,z ∈$ either $\mathbb{Q}⊻¬\mathbb{Q}$].

Published on 07 Sep 2021 - 15:38

score 90 · Answer 5 · 2026-02-23 09:48:03

90

Views

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

Published on 23 Feb 2026 - 9:48

score 64 · Answer 6 · 2026-02-23 09:45:09

64

Views

Generating restricted finite additive $2$-bases from doubly-eager bit-strings

Published on 23 Feb 2026 - 9:45

score 46 · Answer 7 · 2021-12-04 10:49:28

46

Views

Express an integer $m$ as sum of 1, 0 and -1 for fixed number of summands $j$

Published on 04 Dec 2021 - 10:49

score 73 · Answer 8 · 2021-12-25 21:31:27

73

Views

Multiplicities of members of the multiset of products of members of a set $A\subseteq\{1,2,3,\ldots\}$

Published on 25 Dec 2021 - 21:31

score 322 · Answer 9 · 2022-02-08 14:01:01

322

Views

Construct $n$ integers in base $n^2$ that are in the ratio of $1:2:\cdots :n$ using every digit exactly once

Published on 08 Feb 2022 - 14:01

score 1.2k · Answer 10 · 2022-04-06 17:44:07

1.2k

Views

Proof - The number of partitions of n into at most m parts is the number of partitions into parts whose largest part is at most m

Published on 06 Apr 2022 - 17:44

score 50 · Answer 11 · 2022-04-07 19:54:50

50

Views

Does $\sum_{i=1}^n p_i(x) \sqrt{q_i(x)} =0 $ imply that $x$ is algebraic?

Published on 07 Apr 2022 - 19:54

score 129 · Answer 12 · 2022-04-19 00:05:51

129

Views

Counting numbers up to $n$ whose prime factorizations have exactly $k$ prime factors with exponent $1$

Published on 19 Apr 2022 - 0:05

score 75 · Answer 13 · 2022-06-02 01:41:54

75

Views

8 Positive integers making numbers in the range $-1985\leq k\leq 1985$.

Published on 02 Jun 2022 - 1:41

score 600 · Answer 14 · 2022-07-14 07:45:35

600

Views

Let $p$ be a prime number and $S\subseteq\{1,2,\cdots,p-1\}$ be a subset such that $|S|>p^{\frac{3}{4}}$...

Published on 14 Jul 2022 - 7:45

score 40 · Answer 15 · 2022-08-19 14:14:12

40

Views

Constructing every pair of two square numbers with fixed sum

Published on 19 Aug 2022 - 14:14

List Question

Hybrid 'Discrete triangular number base' numbers

Is this a strict Lower bound on the amount of numbers less than x but coprime to y?

What is the general formula of the sum $\sum_{k=0}^{n}(-1)^{k} \binom{n}{k}\binom{k/2}{m}$ for $m,n\in\mathbb{N}$?

Prove or disprove: If [$q\in\mathbb{Q}$ and $a+b = x+y+z = q$] then [$a,b,x,y,z ∈$ either $\mathbb{Q}⊻¬\mathbb{Q}$].

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

Generating restricted finite additive $2$-bases from doubly-eager bit-strings

Express an integer $m$ as sum of 1, 0 and -1 for fixed number of summands $j$

Multiplicities of members of the multiset of products of members of a set $A\subseteq\{1,2,3,\ldots\}$

Construct $n$ integers in base $n^2$ that are in the ratio of $1:2:\cdots :n$ using every digit exactly once

Proof - The number of partitions of n into at most m parts is the number of partitions into parts whose largest part is at most m

Does $\sum_{i=1}^n p_i(x) \sqrt{q_i(x)} =0 $ imply that $x$ is algebraic?

Counting numbers up to $n$ whose prime factorizations have exactly $k$ prime factors with exponent $1$

8 Positive integers making numbers in the range $-1985\leq k\leq 1985$.

Let $p$ be a prime number and $S\subseteq\{1,2,\cdots,p-1\}$ be a subset such that $|S|>p^{\frac{3}{4}}$...

Constructing every pair of two square numbers with fixed sum

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