Question

Find every positive integer $n>1$ such that there aren't any integers $a$ ($1<a<n$) so that $n|a^n-1$

score 119 · Answer 1 · 2026-04-17 10:28:26

119

Views

Find every positive integer $n>1$ such that there aren't any integers $a$ ($1<a<n$) so that $n|a^n-1$

Published on 17 Apr 2026 - 10:28

score 480 · Answer 2 · 2026-05-10 16:13:31

480

Views

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

Published on 10 May 2026 - 16:13

score 57 · Answer 3 · 2026-04-10 16:14:40

57

Views

A question about prime-gaps whose sum is a power of $2$.

Published on 10 Apr 2026 - 16:14

score 110 · Answer 4 · 2026-04-14 11:36:40

110

Views

Differences between numbers of the form abcdef and acdef which are perfect square.

Published on 14 Apr 2026 - 11:36

score 54 · Answer 5 · 2026-04-15 05:05:24

54

Views

If $g(x)\in \mathbb{Z} [x]$, $g(x)=a^{k}$ for all $x\in\mathbb{Z}$ and a fixed $k\in\mathbb{N}$ then $g(x)=h^{k}(x)$

Published on 15 Apr 2026 - 5:05

score 64 · Answer 6 · 2026-04-16 09:18:42

64

Views

Largest value of $n$ such that the complementary set of any $n$-element subset contains at least two elements that are coprime

Published on 16 Apr 2026 - 9:18

score 49 · Answer 7 · 2026-05-10 17:07:54

49

Views

Remainder for equation with multi-variable

Published on 10 May 2026 - 17:07

score 128 · Answer 8 · 2026-05-14 06:20:55

128

Views

Lower bound for sum of Hecke eigenvalues

Published on 14 May 2026 - 6:20

score 54 · Answer 9 · 2026-05-02 18:47:31

54

Views

How did Lang use locally compact to deduce $|x|=1$ has minimum?

Published on 02 May 2026 - 18:47

score 201 · Answer 10 · 2026-05-11 03:06:49

201

Views

Another proof for an infinite number of Pythagorean triples

Published on 11 May 2026 - 3:06

score 146 · Answer 11 · 2026-04-11 04:54:06

146

Views

Connection between number theory and projective geometry?

Published on 11 Apr 2026 - 4:54

score 47 · Answer 12 · 2026-05-10 15:51:22

47

Views

Are there more real numbers than irrational numbers?

Published on 10 May 2026 - 15:51

score 224 · Answer 13 · 2026-05-11 05:03:57

224

Views

Sum of divisors mod 8

Published on 11 May 2026 - 5:03

score 497 · Answer 14 · 2026-05-14 18:20:53

497

Views

the sum of two arbitrary different numbers in the sequence is always coprime with the sum of three arbitrary different numbers

Published on 14 May 2026 - 18:20

score 859 · Answer 15 · 2026-05-14 18:20:57

859

Views

Understanding abstract algebra proof of Fermat's Little Theorem

Published on 14 May 2026 - 18:20

List Question

Find every positive integer $n>1$ such that there aren't any integers $a$ ($1<a<n$) so that $n|a^n-1$

Verify my proof for "For every $n, q$, where $n,q \in Z^+, n\geq 2, \sum_{i=1}^n\frac1n\neq q$". [$n^{th}$ harmonic number is never an integer]

A question about prime-gaps whose sum is a power of $2$.

Differences between numbers of the form abcdef and acdef which are perfect square.

If $g(x)\in \mathbb{Z} [x]$, $g(x)=a^{k}$ for all $x\in\mathbb{Z}$ and a fixed $k\in\mathbb{N}$ then $g(x)=h^{k}(x)$

Largest value of $n$ such that the complementary set of any $n$-element subset contains at least two elements that are coprime

Remainder for equation with multi-variable

Lower bound for sum of Hecke eigenvalues

How did Lang use locally compact to deduce $|x|=1$ has minimum?

Another proof for an infinite number of Pythagorean triples

Connection between number theory and projective geometry?

Are there more real numbers than irrational numbers?

Sum of divisors mod 8

the sum of two arbitrary different numbers in the sequence is always coprime with the sum of three arbitrary different numbers

Understanding abstract algebra proof of Fermat's Little Theorem

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