Question

Prove that $\frac{21n+4}{14n+3}$ is in lowest terms for any natural $n$.

score 851 · Answer 1 · 2026-04-13 03:18:26

851

Views

Prove that $\frac{21n+4}{14n+3}$ is in lowest terms for any natural $n$.

Published on 13 Apr 2026 - 3:18

score 105 · Answer 2 · 2026-04-11 17:51:18

105

Views

Is there a reason why the first few primes have hexagonal symmetry when snaked around the plane?

Published on 11 Apr 2026 - 17:51

score 125 · Answer 3 · 2026-04-13 15:17:26

125

Views

Confusion over proof of Lifting the Exponent Lemma

Published on 13 Apr 2026 - 15:17

score 66 · Answer 4 · 2026-04-17 04:14:49

66

Views

Let $a_1=1, a_n=(n-1)a_{n-1}+1,n\ge 2.$ Find $n$ such that $n|a_n.$

Published on 17 Apr 2026 - 4:14

score 100 · Answer 5 · 2026-04-14 11:54:40

100

Views

Applying Fermats Little Theorem to show $a^p \equiv_p b^p $ implies $a \equiv_p b $

Published on 14 Apr 2026 - 11:54

score 178 · Answer 6 · 2026-04-14 12:15:37

178

Views

Finding 4-up numbers

Published on 14 Apr 2026 - 12:15

score 52 · Answer 7 · 2026-04-12 11:31:38

52

Views

How to obtain the bounds for a and b?

Published on 12 Apr 2026 - 11:31

score 99 · Answer 8 · 2026-04-08 16:26:20

99

Views

Pythagoras theorem quick calculation

Published on 08 Apr 2026 - 16:26

score 90 · Answer 9 · 2026-04-11 18:52:54

90

Views

A special Vandermonde system with integer coefficients

Published on 11 Apr 2026 - 18:52

score 5.1k · Answer 10 · 2026-04-13 04:48:28

5.1k

Views

Number of solutions to a linear congruence equation

Published on 13 Apr 2026 - 4:48

score 81 · Answer 11 · 2026-04-13 00:08:25

81

Views

Specific evidence for or against the Descartes-Frenicle-Sorli conjecture on odd perfect numbers

Published on 13 Apr 2026 - 0:08

score 991 · Answer 12 · 2026-04-09 18:29:29

991

Views

What are the steps involved in finding the Greatest Common Divisor of two polynomials?

Published on 09 Apr 2026 - 18:29

score 103 · Answer 13 · 2026-04-16 21:17:52

103

Views

For which $n$ is $37|1\underbrace{0\cdots 0}_\text{n-times}1\underbrace{0\cdots 0}_\text{n-times}1$

Published on 16 Apr 2026 - 21:17

score 556 · Answer 14 · 2026-04-09 11:52:40

556

Views

A Proof of the Fundamental Theorem of Arithmetic

Published on 09 Apr 2026 - 11:52

score 108 · Answer 15 · 2026-04-11 18:19:52

108

Views

Given a positive integer $m$ , how can I construct a positive integer $k$ such that $\varphi(n)=k$ has exactly $m$ solutions?

Published on 11 Apr 2026 - 18:19

List Question

Prove that $\frac{21n+4}{14n+3}$ is in lowest terms for any natural $n$.

Is there a reason why the first few primes have hexagonal symmetry when snaked around the plane?

Confusion over proof of Lifting the Exponent Lemma

Let $a_1=1, a_n=(n-1)a_{n-1}+1,n\ge 2.$ Find $n$ such that $n|a_n.$

Applying Fermats Little Theorem to show $a^p \equiv_p b^p $ implies $a \equiv_p b $

Finding 4-up numbers

How to obtain the bounds for a and b?

Pythagoras theorem quick calculation

A special Vandermonde system with integer coefficients

Number of solutions to a linear congruence equation

Specific evidence for or against the Descartes-Frenicle-Sorli conjecture on odd perfect numbers

What are the steps involved in finding the Greatest Common Divisor of two polynomials?

For which $n$ is $37|1\underbrace{0\cdots 0}_\text{n-times}1\underbrace{0\cdots 0}_\text{n-times}1$

A Proof of the Fundamental Theorem of Arithmetic

Given a positive integer $m$ , how can I construct a positive integer $k$ such that $\varphi(n)=k$ has exactly $m$ solutions?

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