Question

What is the probability that $\exists N \in \mathbb{N}$ such that $\forall n > N$, $2n \in C + C$?

score 121 · Answer 1 · 2026-02-23 00:50:45

121

Views

What is the probability that $\exists N \in \mathbb{N}$ such that $\forall n > N$, $2n \in C + C$?

Published on 23 Feb 2026 - 0:50

score 159 · Answer 2 · 2026-03-14 21:56:24

159

Views

Prove that $\frac{d}{2^m + 1} + \frac{m}{2}\frac{2^m}{2^m+1} \geq \frac{\log_2 d}{4}$

Published on 14 Mar 2026 - 21:56

score 174 · Answer 3 · 2019-07-18 16:16:17

174

Views

Given $A\subset \mathbf{R}\setminus \{0\}$ with $|A| = n$, show that there is a $B\subset A$ with $|B| > n/3$ so that $(B+B)\cap B =\emptyset$

Published on 18 Jul 2019 - 16:16

score 123 · Answer 4 · 2026-02-23 00:50:35

123

Views

Minimum number of integers $a_1,....,a_m$ needed to express $2,...,n$ as $a_i + a_j$

Published on 23 Feb 2026 - 0:50

score 112 · Answer 5 · 2019-08-09 19:51:08

112

Views

Minimal set of $n\times n$ matrices whose products generate all $n\times n$ matrices with a single $1$

Published on 09 Aug 2019 - 19:51

score 36 · Answer 6 · 2014-03-18 05:31:11

36

Views

Finding an imperfect finite difference set for large N

Published on 18 Mar 2014 - 5:31

score 394 · Answer 7 · 2026-03-14 16:10:14

394

Views

Cardinality of sum-set of two arithmetic progressions

Published on 14 Mar 2026 - 16:10

score 168 · Answer 8 · 2026-03-13 20:57:55

168

Views

Inequalities that show if a distribution decays slowly

Published on 13 Mar 2026 - 20:57

score 173 · Answer 9 · 2026-03-15 00:49:53

173

Views

Multiplicative subgroup of a finite field with prescribed trace.

Published on 15 Mar 2026 - 0:49

score 149 · Answer 10 · 2026-03-15 09:29:02

149

Views

Cardinality of the set of linear combinations $aX_1 + bX_2$ for fixed real numbers $a, b$

Published on 15 Mar 2026 - 9:29

score 99 · Answer 11 · 2026-03-16 04:10:59

99

Views

Szemeredi Trotter and additive combinatorics on A+AA

Published on 16 Mar 2026 - 4:10

score 3.4k · Answer 12 · 2026-03-15 00:43:54

3.4k

Views

Is every prime the average of two other primes?

Published on 15 Mar 2026 - 0:43

score 150 · Answer 13 · 2026-03-15 01:34:42

150

Views

Which basis orders [for the natural numbers] have been proven?

Published on 15 Mar 2026 - 1:34

score 40 · Answer 14 · 2026-03-14 22:00:59

40

Views

"Spanning" the difference set of $S$

Published on 14 Mar 2026 - 22:00

score 319 · Answer 15 · 2014-08-07 17:06:07

319

Views

Are there any "nontrivial" sets with small difference sets?

Published on 07 Aug 2014 - 17:06

List Question

What is the probability that $\exists N \in \mathbb{N}$ such that $\forall n > N$, $2n \in C + C$?

Prove that $\frac{d}{2^m + 1} + \frac{m}{2}\frac{2^m}{2^m+1} \geq \frac{\log_2 d}{4}$

Given $A\subset \mathbf{R}\setminus \{0\}$ with $|A| = n$, show that there is a $B\subset A$ with $|B| > n/3$ so that $(B+B)\cap B =\emptyset$

Minimum number of integers $a_1,....,a_m$ needed to express $2,...,n$ as $a_i + a_j$

Minimal set of $n\times n$ matrices whose products generate all $n\times n$ matrices with a single $1$

Finding an imperfect finite difference set for large N

Cardinality of sum-set of two arithmetic progressions

Inequalities that show if a distribution decays slowly

Multiplicative subgroup of a finite field with prescribed trace.

Cardinality of the set of linear combinations $aX_1 + bX_2$ for fixed real numbers $a, b$

Szemeredi Trotter and additive combinatorics on A+AA

Is every prime the average of two other primes?

Which basis orders [for the natural numbers] have been proven?

"Spanning" the difference set of $S$

Are there any "nontrivial" sets with small difference sets?

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