Question

On Yanqi Xu's 2016 joint undergraduate math research project with Dr. Judy Holdener at Kenyon College

score 206 · Answer 1 · 2026-05-10 15:30:16

206

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On Yanqi Xu's 2016 joint undergraduate math research project with Dr. Judy Holdener at Kenyon College

Published on 10 May 2026 - 15:30

score 30 · Answer 2 · 2026-04-14 15:06:20

30

Views

Existence of a "scaling factor" in a inequality

Published on 14 Apr 2026 - 15:06

score 107 · Answer 3 · 2026-04-17 13:39:16

107

Views

Conjecture about polynomials $f_n\in\mathbb Q[X_1,\dots,X_n]$ defining bijections $\mathbb N^n\to\mathbb N$

Published on 17 Apr 2026 - 13:39

score 95 · Answer 4 · 2026-04-16 15:53:40

95

Views

Find all $p \in \mathbb{Z}$ such that $ p^2+ 4p + 16 $ is a perfect square

Published on 16 Apr 2026 - 15:53

score 99 · Answer 5 · 2026-04-16 02:10:58

99

Views

Show that if $a \equiv b\pmod{kn}$, then $a^k\equiv b^k\pmod{k^2n}$

Published on 16 Apr 2026 - 2:10

score 4.4k · Answer 6 · 2026-05-11 08:36:03

4.4k

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If a prime $p$ divides $n^2$ then it also divides $n$ - Is this proof correct?

Published on 11 May 2026 - 8:36

score 84 · Answer 7 · 2026-04-15 03:15:14

84

Views

Finding all primes $p,$ such that for all integers $a$, $a^{25} \equiv a\pmod p$.

Published on 15 Apr 2026 - 3:15

score 671 · Answer 8 · 2026-05-15 00:41:52

671

Views

On the definition of Liouville number

Published on 15 May 2026 - 0:41

score 173 · Answer 9 · 2026-04-17 16:00:21

173

Views

Prove that $3^{30} \equiv 1 + 17 \cdot 31 \pmod{31^{2}}$.

Published on 17 Apr 2026 - 16:00

score 47 · Answer 10 · 2026-04-14 07:32:58

47

Views

Does $O(log \ n)$ (space) equality testing of $n$-bit integers using $f(x) = x \ mod \ p$ fingerprinting work for negative integers as well?

Published on 14 Apr 2026 - 7:32

score 50 · Answer 11 · 2026-04-15 19:13:22

50

Views

Question on $\sum_{p\leq x}f(p)$

Published on 15 Apr 2026 - 19:13

score 99 · Answer 12 · 2026-04-15 19:30:03

99

Views

$\{n\in\mathbb N|n\in\mathbb P \wedge n ^2+2\in\mathbb P\}$ is finite

Published on 15 Apr 2026 - 19:30

score 59 · Answer 13 · 2026-04-14 02:21:25

59

Views

Expressing non-polynomial functions in formal system of elementary number theory

Published on 14 Apr 2026 - 2:21

score 71 · Answer 14 · 2026-05-10 15:30:16

71

Views

If $q \equiv k \equiv 1 \pmod 4$, is it necessarily true that $\gcd\bigg(\sigma(q^k),\sigma(q^{(k-1)/2})\bigg)=1$?

Published on 10 May 2026 - 15:30

score 87 · Answer 15 · 2026-04-14 13:52:33

87

Views

For integers $a,b$ and prime $p$, are there infinitely many solutions to $p = (a-b)(a+b)$?

Published on 14 Apr 2026 - 13:52

List Question

On Yanqi Xu's 2016 joint undergraduate math research project with Dr. Judy Holdener at Kenyon College

Existence of a "scaling factor" in a inequality

Conjecture about polynomials $f_n\in\mathbb Q[X_1,\dots,X_n]$ defining bijections $\mathbb N^n\to\mathbb N$

Find all $p \in \mathbb{Z}$ such that $ p^2+ 4p + 16 $ is a perfect square

Show that if $a \equiv b\pmod{kn}$, then $a^k\equiv b^k\pmod{k^2n}$

If a prime $p$ divides $n^2$ then it also divides $n$ - Is this proof correct?

Finding all primes $p,$ such that for all integers $a$, $a^{25} \equiv a\pmod p$.

On the definition of Liouville number

Prove that $3^{30} \equiv 1 + 17 \cdot 31 \pmod{31^{2}}$.

Does $O(log \ n)$ (space) equality testing of $n$-bit integers using $f(x) = x \ mod \ p$ fingerprinting work for negative integers as well?

Question on $\sum_{p\leq x}f(p)$

$\{n\in\mathbb N|n\in\mathbb P \wedge n ^2+2\in\mathbb P\}$ is finite

Expressing non-polynomial functions in formal system of elementary number theory

If $q \equiv k \equiv 1 \pmod 4$, is it necessarily true that $\gcd\bigg(\sigma(q^k),\sigma(q^{(k-1)/2})\bigg)=1$?

For integers $a,b$ and prime $p$, are there infinitely many solutions to $p = (a-b)(a+b)$?

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