Question

Can $\sqrt3,\sqrt5,\sqrt7$ all be elements (not necessarily consecutive) of the same arithmetic sequence?

score 104 · Answer 1 · 2022-10-23 10:09:07

104

Views

Can $\sqrt3,\sqrt5,\sqrt7$ all be elements (not necessarily consecutive) of the same arithmetic sequence?

Published on 23 Oct 2022 - 10:09

score 29 · Answer 2 · 2026-02-23 13:46:25

29

Views

Given $n = ab$ with $a,b$ unknown what are some good choices for $a_0, d$ such that $a,b$ are both in the AP $a_0 + kd$

Published on 23 Feb 2026 - 13:46

score 90 · Answer 3 · 2022-11-15 16:17:02

90

Views

Prove that, there infinitely many terms have exactly $m$ distinct prime factors

Published on 15 Nov 2022 - 16:17

score 58 · Answer 4 · 2026-02-23 05:47:18

58

Views

Let $A_N$ be the subset of $\{1,\ldots,\ N\}$ that has no $3$-term A.P's and maximises $\sum_{n\in A_N}\frac{1}{n}.$ Does $A_N\to A003278?$

Published on 23 Feb 2026 - 5:47

score 233 · Answer 5 · 2022-12-02 03:00:15

233

Views

Prove If a polynomial has a double zero, then after multiplying the coefficients by an arithmetic sequence it still is a zero

Published on 02 Dec 2022 - 3:00

score 160 · Answer 6 · 2026-03-27 22:55:16

160

Views

Do three arithmetic sequences of real numbers that include $0$ always get arbitrarily close to each other at nonzero numbers?

Published on 27 Mar 2026 - 22:55

score 423 · Answer 7 · 2022-12-15 16:53:58

423

Views

From which term should this AP start?

Published on 15 Dec 2022 - 16:53

score 74 · Answer 8 · 2022-12-15 21:28:25

74

Views

Consecutive odd integers and primes

Published on 15 Dec 2022 - 21:28

score 60 · Answer 9 · 2022-12-18 00:48:40

60

Views

How to show that a set almost surely does not contain an infinite arithmetic progression?

Published on 18 Dec 2022 - 0:48

score 165 · Answer 10 · 2026-03-27 22:57:33

165

Views

Can we scale the elements of a set of real numbers so that they are arbitrarily close to integers?

Published on 27 Mar 2026 - 22:57

score 81 · Answer 11 · 2026-03-27 22:57:37

81

Views

How to compute constants in asymptotic density of numbers divisible by subset of primes

Published on 27 Mar 2026 - 22:57

score 40 · Answer 12 · 2026-02-23 16:51:59

40

Views

Airthmetic progressions with a free-term in Furstenberg's proof

Published on 23 Feb 2026 - 16:51

score 39 · Answer 13 · 2023-01-16 10:50:55

39

Views

Confusion over wording of a question of arithmetic progression

Published on 16 Jan 2023 - 10:50

score 130 · Answer 14 · 2023-01-16 21:30:40

130

Views

Arithmetic Progression with a Sum Property Question

Published on 16 Jan 2023 - 21:30

score 75 · Answer 15 · 2026-03-29 22:28:26

75

Views

What's the "norm" on $S_k(n,d)$? (Behrend, $1946$)

Published on 29 Mar 2026 - 22:28

List Question

Can $\sqrt3,\sqrt5,\sqrt7$ all be elements (not necessarily consecutive) of the same arithmetic sequence?

Given $n = ab$ with $a,b$ unknown what are some good choices for $a_0, d$ such that $a,b$ are both in the AP $a_0 + kd$

Prove that, there infinitely many terms have exactly $m$ distinct prime factors

Let $A_N$ be the subset of $\{1,\ldots,\ N\}$ that has no $3$-term A.P's and maximises $\sum_{n\in A_N}\frac{1}{n}.$ Does $A_N\to A003278?$

Prove If a polynomial has a double zero, then after multiplying the coefficients by an arithmetic sequence it still is a zero

Do three arithmetic sequences of real numbers that include $0$ always get arbitrarily close to each other at nonzero numbers?

From which term should this AP start?

Consecutive odd integers and primes

How to show that a set almost surely does not contain an infinite arithmetic progression?

Can we scale the elements of a set of real numbers so that they are arbitrarily close to integers?

How to compute constants in asymptotic density of numbers divisible by subset of primes

Airthmetic progressions with a free-term in Furstenberg's proof

Confusion over wording of a question of arithmetic progression

Arithmetic Progression with a Sum Property Question

What's the "norm" on $S_k(n,d)$? (Behrend, $1946$)

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