Question

Coloring the all the natural numbers upto $n$

score 149 · Answer 1 · 2026-04-15 19:06:27

149

Views

Coloring the all the natural numbers upto $n$

Published on 15 Apr 2026 - 19:06

score 166 · Answer 2 · 2026-05-14 22:06:14

166

Views

Erdos-Kac implies the prime number theorem?

Published on 14 May 2026 - 22:06

score 29 · Answer 3 · 2026-04-15 22:37:37

29

Views

true or false if n is an odd integer with n>3, then σ(n) is less than or equal to σ(n-1)

Published on 15 Apr 2026 - 22:37

score 62 · Answer 4 · 2026-04-15 18:10:03

62

Views

prove that there infinitely many $m$ such that $\frac{2^{m-1}-1}{8191m} \in \mathbb{N}$

Published on 15 Apr 2026 - 18:10

score 64 · Answer 5 · 2026-04-11 19:19:34

64

Views

Explanation about integer being $l$-th power modulo every prime

Published on 11 Apr 2026 - 19:19

score 794 · Answer 6 · 2026-04-13 22:39:38

794

Views

Given an arbitrary positive integer, find the nearest perfect square. Proof?

Published on 13 Apr 2026 - 22:39

score 430 · Answer 7 · 2026-04-14 11:28:51

430

Views

Cyclic vectors of a companion matrix

Published on 14 Apr 2026 - 11:28

score 126 · Answer 8 · 2026-04-16 03:14:30

126

Views

Estimation for $a_n$ where $\int_0^1 x^ne^xdx = a_ne+b_n$

Published on 16 Apr 2026 - 3:14

score 277 · Answer 9 · 2026-05-14 13:25:06

277

Views

On existence of positive integer solution of $\binom{x+y}{2}=ax+by$

Published on 14 May 2026 - 13:25

score 135 · Answer 10 · 2026-05-14 13:24:08

135

Views

Show that rational numbers have the Archimedean property

Published on 14 May 2026 - 13:24

score 190 · Answer 11 · 2026-04-16 16:11:04

190

Views

Proof verification: If $gcd(n,9)=3$ then $gcd(n^2,9)=9$, $p∣n \implies p∣n^2$, $p∣n^2\implies p∣n$.

Published on 16 Apr 2026 - 16:11

score 310 · Answer 12 · 2026-05-10 14:04:30

310

Views

Relation between local and global inertia/ramification degrees

Published on 10 May 2026 - 14:04

score 76 · Answer 13 · 2026-04-16 03:38:42

76

Views

Infinitely many primes such that n is not a square mod p

Published on 16 Apr 2026 - 3:38

score 69 · Answer 14 · 2026-04-12 21:52:41

69

Views

How many 6, 7 and 8 digits could be generated

Published on 12 Apr 2026 - 21:52

score 163 · Answer 15 · 2026-04-17 12:31:55

163

Views

Solve $x^{2x}+27^2=54x^x$

Published on 17 Apr 2026 - 12:31

List Question

Coloring the all the natural numbers upto $n$

Erdos-Kac implies the prime number theorem?

true or false if n is an odd integer with n>3, then σ(n) is less than or equal to σ(n-1)

prove that there infinitely many $m$ such that $\frac{2^{m-1}-1}{8191m} \in \mathbb{N}$

Explanation about integer being $l$-th power modulo every prime

Given an arbitrary positive integer, find the nearest perfect square. Proof?

Cyclic vectors of a companion matrix

Estimation for $a_n$ where $\int_0^1 x^ne^xdx = a_ne+b_n$

On existence of positive integer solution of $\binom{x+y}{2}=ax+by$

Show that rational numbers have the Archimedean property

Proof verification: If $gcd(n,9)=3$ then $gcd(n^2,9)=9$, $p∣n \implies p∣n^2$, $p∣n^2\implies p∣n$.

Relation between local and global inertia/ramification degrees

Infinitely many primes such that n is not a square mod p

How many 6, 7 and 8 digits could be generated

Solve $x^{2x}+27^2=54x^x$

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