Question

can $n$ have more than $\dfrac{n}{2} + 1$ divisors?

score 75 · Answer 1 · 2020-02-01 04:06:44

75

Views

can $n$ have more than $\dfrac{n}{2} + 1$ divisors?

Published on 01 Feb 2020 - 4:06

score 54 · Answer 2 · 2020-02-01 16:35:11

54

Views

How to construct 'number block' to deal with divisibility problem？

Published on 01 Feb 2020 - 16:35

score 558 · Answer 3 · 2026-03-27 09:48:08

558

Views

Sum of two perfect squares is also a perfect square. Proof that one of these numbers is divisible by 3

Published on 27 Mar 2026 - 9:48

score 262 · Answer 4 · 2020-02-02 18:03:28

262

Views

Find all primes $p \geq 5$ such that $6^p \cdot (p - 4)! + 10^{3p}$ is divisible by $p$

Published on 02 Feb 2020 - 18:03

score 65 · Answer 5 · 2026-03-28 06:40:17

65

Views

Possible Rearrangments of double products containing sine function :

Published on 28 Mar 2026 - 6:40

score 86 · Answer 6 · 2026-03-28 16:14:32

86

Views

Regarding a question in elementary number theory

Published on 28 Mar 2026 - 16:14

score 33 · Answer 7 · 2020-02-03 16:53:57

33

Views

Find such 5-digit number 84x5y, knowing that 198 divides it

Published on 03 Feb 2020 - 16:53

score 670 · Answer 8 · 2026-04-02 12:25:29

670

Views

Integers $n$ such that the largest factor of $n$ is $n-6$

Published on 02 Apr 2026 - 12:25

score 456 · Answer 9 · 2026-03-25 23:42:30

456

Views

Conjecture : an odd perfect square $n>1$ raised to the $m$-th power is never divisible by the sum of $n$'s divisors

Published on 25 Mar 2026 - 23:42

score 263 · Answer 10 · 2020-02-06 08:30:56

263

Views

When does $2n-1$ divide $16(n^2-n-1)^2$?

Published on 06 Feb 2020 - 8:30

score 54 · Answer 11 · 2020-02-07 07:47:40

54

Views

Number theory: For every $n,m$ with $1 \leq n < m$, find $a,b$ such that $a^n|b^m$ but $a∤b$.

Published on 07 Feb 2020 - 7:47

score 54 · Answer 12 · 2020-02-07 23:51:07

54

Views

Divide a number by a complex number

Published on 07 Feb 2020 - 23:51

score 57 · Answer 13 · 2020-02-10 01:32:16

57

Views

How can I show that if $p^3$ divides $n^2$ then $p^2$ divides n? Can I generalise it?

Published on 10 Feb 2020 - 1:32

score 153 · Answer 14 · 2026-03-29 19:58:22

153

Views

The amount of $n$ so that $n!+1$ is divisible by $p$

Published on 29 Mar 2026 - 19:58

score 1k · Answer 15 · 2026-04-02 11:33:29

1k

Views

How could I find $x$ in this equation $x^2-x+6 \equiv 0 \pmod {9}$

Published on 02 Apr 2026 - 11:33

List Question

can $n$ have more than $\dfrac{n}{2} + 1$ divisors?

How to construct 'number block' to deal with divisibility problem？

Sum of two perfect squares is also a perfect square. Proof that one of these numbers is divisible by 3

Find all primes $p \geq 5$ such that $6^p \cdot (p - 4)! + 10^{3p}$ is divisible by $p$

Possible Rearrangments of double products containing sine function :

Regarding a question in elementary number theory

Find such 5-digit number 84x5y, knowing that 198 divides it

Integers $n$ such that the largest factor of $n$ is $n-6$

Conjecture : an odd perfect square $n>1$ raised to the $m$-th power is never divisible by the sum of $n$'s divisors

When does $2n-1$ divide $16(n^2-n-1)^2$?

Number theory: For every $n,m$ with $1 \leq n < m$, find $a,b$ such that $a^n|b^m$ but $a∤b$.

Divide a number by a complex number

How can I show that if $p^3$ divides $n^2$ then $p^2$ divides n? Can I generalise it?

The amount of $n$ so that $n!+1$ is divisible by $p$

How could I find $x$ in this equation $x^2-x+6 \equiv 0 \pmod {9}$

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