Question

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

score 124 · Answer 1 · 2026-04-29 12:50:59

124

Views

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

Published on 29 Apr 2026 - 12:50

score 160 · Answer 2 · 2026-03-25 04:42:56

160

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 25 Mar 2026 - 4:42

score 176 · Answer 3 · 2026-05-10 14:49:32

176

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 10 May 2026 - 14:49

score 125 · Answer 4 · 2026-04-29 12:50:33

125

Views

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

Published on 29 Apr 2026 - 12:50

score 115 · Answer 5 · 2026-04-15 21:37:29

115

Views

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

Published on 15 Apr 2026 - 21:37

score 37 · Answer 6 · 2026-03-25 04:36:33

37

Views

Finding an imperfect finite difference set for large N

Published on 25 Mar 2026 - 4:36

score 395 · Answer 7 · 2026-03-25 04:40:30

395

Views

Cardinality of sum-set of two arithmetic progressions

Published on 25 Mar 2026 - 4:40

score 169 · Answer 8 · 2026-03-25 04:39:12

169

Views

Inequalities that show if a distribution decays slowly

Published on 25 Mar 2026 - 4:39

score 174 · Answer 9 · 2026-03-25 06:05:53

174

Views

Multiplicative subgroup of a finite field with prescribed trace.

Published on 25 Mar 2026 - 6:05

score 150 · Answer 10 · 2026-03-25 06:06:34

150

Views

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

Published on 25 Mar 2026 - 6:06

score 100 · Answer 11 · 2026-03-25 04:39:42

100

Views

Szemeredi Trotter and additive combinatorics on A+AA

Published on 25 Mar 2026 - 4:39

score 3.4k · Answer 12 · 2026-03-25 04:40:07

3.4k

Views

Is every prime the average of two other primes?

Published on 25 Mar 2026 - 4:40

score 151 · Answer 13 · 2026-03-25 04:39:12

151

Views

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

Published on 25 Mar 2026 - 4:39

score 42 · Answer 14 · 2026-04-01 07:08:32

42

Views

"Spanning" the difference set of $S$

Published on 01 Apr 2026 - 7:08

score 320 · Answer 15 · 2026-03-25 04:37:16

320

Views

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

Published on 25 Mar 2026 - 4:37

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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