Question

Do all the zeroes of this arithmetic function occur at even integers?

score 82 · Answer 1 · 2019-12-26 12:28:22

82

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Do all the zeroes of this arithmetic function occur at even integers?

Published on 26 Dec 2019 - 12:28

score 55 · Answer 2 · 2020-01-03 07:21:18

55

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What are the examples of results which have been proved assuming a conjecture to be both true and false?

Published on 03 Jan 2020 - 7:21

score 95 · Answer 3 · 2020-01-04 12:12:07

95

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Can gcd separate primes from composite numbers?

Published on 04 Jan 2020 - 12:12

score 668 · Answer 4 · 2020-01-06 20:08:18

668

Views

For any $k \gt 1$, if $n!+k$ is a square then will $n \le k$ always be true?

Published on 06 Jan 2020 - 20:08

score 64 · Answer 5 · 2020-01-06 22:35:29

64

Views

A conjecture about a smothness concerning consecutive primes

Published on 06 Jan 2020 - 22:35

score 622 · Answer 6 · 2020-01-13 20:44:11

622

Views

Greatest common divisor of consecutive square free numbers

Published on 13 Jan 2020 - 20:44

score 225 · Answer 7 · 2020-01-15 09:32:27

225

Views

Prove or Disprove the Conjecture on Cousin Primes

Published on 15 Jan 2020 - 9:32

score 183 · Answer 8 · 2026-03-25 18:49:11

183

Views

Do all elements of $[n+1,2n]$ have strictly higher gpf than elements of $[1,n]$ when sorted by gpf?

Published on 25 Mar 2026 - 18:49

score 77 · Answer 9 · 2020-01-17 18:13:26

77

Views

A conjecture in number theory with twin primes

Published on 17 Jan 2020 - 18:13

score 119 · Answer 10 · 2020-01-18 10:48:38

119

Views

A conjecture concerning Pollard rho

Published on 18 Jan 2020 - 10:48

score 94 · Answer 11 · 2026-03-25 18:50:16

94

Views

The Rook Conjecture: arrangement of $p$ primes being distinct $\pmod{p}$ through $p^2$

Published on 25 Mar 2026 - 18:50

score 214 · Answer 12 · 2026-03-25 18:47:30

214

Views

proof of prime in every interval $(p^2,p^2+p)$

Published on 25 Mar 2026 - 18:47

score 79 · Answer 13 · 2020-01-24 12:32:55

79

Views

Erdős-Strauss Conjecture: Is there a simpler way to solve?

Published on 24 Jan 2020 - 12:32

score 71 · Answer 14 · 2020-01-25 03:22:54

71

Views

A Weak Schönflies Theorem in $\mathbb{R^n}$?

Published on 25 Jan 2020 - 3:22

score 518 · Answer 15 · 2020-01-29 18:14:41

518

Views

Prove that $\sum_{i=1}^n\frac{x_i}{\sqrt[nr]{x_i^{nr}+(n^{nr}-1)\prod_{j=1}^nx^r_j}} \ge 1$ for all $x_i>0$ and $r \geq \frac{1}{n}$.

Published on 29 Jan 2020 - 18:14

List Question

Do all the zeroes of this arithmetic function occur at even integers?

What are the examples of results which have been proved assuming a conjecture to be both true and false?

Can gcd separate primes from composite numbers?

For any $k \gt 1$, if $n!+k$ is a square then will $n \le k$ always be true?

A conjecture about a smothness concerning consecutive primes

Greatest common divisor of consecutive square free numbers

Prove or Disprove the Conjecture on Cousin Primes

Do all elements of $[n+1,2n]$ have strictly higher gpf than elements of $[1,n]$ when sorted by gpf?

A conjecture in number theory with twin primes

A conjecture concerning Pollard rho

The Rook Conjecture: arrangement of $p$ primes being distinct $\pmod{p}$ through $p^2$

proof of prime in every interval $(p^2,p^2+p)$

Erdős-Strauss Conjecture: Is there a simpler way to solve?

A Weak Schönflies Theorem in $\mathbb{R^n}$?

Prove that $\sum_{i=1}^n\frac{x_i}{\sqrt[nr]{x_i^{nr}+(n^{nr}-1)\prod_{j=1}^nx^r_j}} \ge 1$ for all $x_i>0$ and $r \geq \frac{1}{n}$.

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