Question

How to attempt inductive proof of the Fundamental Theorem of Arithmetic

score 170 · Answer 1 · 2026-03-22 09:55:35

170

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How to attempt inductive proof of the Fundamental Theorem of Arithmetic

Published on 22 Mar 2026 - 9:55

score 4.1k · Answer 2 · 2026-03-22 00:17:48

4.1k

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Proof by contrapositive: if $a$ and $b$ are consecutive integers then the sum $a + b$ is odd

Published on 22 Mar 2026 - 0:17

score 84 · Answer 3 · 2026-03-22 01:30:02

84

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Number Theory: Show for all positive integers σ(2n)>2σ(n)

Published on 22 Mar 2026 - 1:30

score 42 · Answer 4 · 2026-04-01 04:19:36

42

Views

Special kind of partition

Published on 01 Apr 2026 - 4:19

score 53 · Answer 5 · 2026-04-09 01:59:57

53

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DLP Relationship of primitive roots $\pmod{p}$ with $p$ and $g$

Published on 09 Apr 2026 - 1:59

score 1.3k · Answer 6 · 2026-03-24 22:09:47

1.3k

Views

Show that $2n\choose n$ is divisible by $2n-1$

Published on 24 Mar 2026 - 22:09

score 76 · Answer 7 · 2026-03-22 00:38:23

76

Views

Assigning numbers to edges and then adding them for the vertices

Published on 22 Mar 2026 - 0:38

score 68 · Answer 8 · 2026-03-21 23:06:09

68

Views

I'm stuck on how to solve this one!

Published on 21 Mar 2026 - 23:06

score 918 · Answer 9 · 2026-03-22 05:37:12

918

Views

Prove that there are no integers $x, y, z$ such that $x+y+z=0$ and $1/x+1/y+1/z=0$

Published on 22 Mar 2026 - 5:37

score 1.2k · Answer 10 · 2026-03-25 06:06:31

1.2k

Views

Infinitude of odd primes of the form $4n+3$.

Published on 25 Mar 2026 - 6:06

score 73 · Answer 11 · 2026-03-22 00:45:47

73

Views

Divisibility of polynomial; basic number theory

Published on 22 Mar 2026 - 0:45

score 136 · Answer 12 · 2026-04-09 01:04:04

136

Views

Uniqueness of the CRT solution in $\mathbb Z_m$

Published on 09 Apr 2026 - 1:04

score 794 · Answer 13 · 2026-03-22 02:44:25

794

Views

word problem - elementary number theory - divisibility

Published on 22 Mar 2026 - 2:44

score 59 · Answer 14 · 2026-03-24 22:09:40

59

Views

How many positive integers $n$ satisfy $n+S(n)=2008$?

Published on 24 Mar 2026 - 22:09

score 93 · Answer 15 · 2026-03-25 06:07:03

93

Views

Prove that there is a maximum subset of $\mathbb{N}$ who is closed under summation and does not contain any prime number.

Published on 25 Mar 2026 - 6:07

List Question

How to attempt inductive proof of the Fundamental Theorem of Arithmetic

Proof by contrapositive: if $a$ and $b$ are consecutive integers then the sum $a + b$ is odd

Number Theory: Show for all positive integers σ(2n)>2σ(n)

Special kind of partition

DLP Relationship of primitive roots $\pmod{p}$ with $p$ and $g$

Show that $2n\choose n$ is divisible by $2n-1$

Assigning numbers to edges and then adding them for the vertices

I'm stuck on how to solve this one!

Prove that there are no integers $x, y, z$ such that $x+y+z=0$ and $1/x+1/y+1/z=0$

Infinitude of odd primes of the form $4n+3$.

Divisibility of polynomial; basic number theory

Uniqueness of the CRT solution in $\mathbb Z_m$

word problem - elementary number theory - divisibility

How many positive integers $n$ satisfy $n+S(n)=2008$?

Prove that there is a maximum subset of $\mathbb{N}$ who is closed under summation and does not contain any prime number.

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