Question

If $q^k n^2$ is an odd perfect number with special prime $q$, then can $n^2 - q^k$ be a cube?

score 103 · Answer 1 · 2026-03-25 21:54:06

103

Views

If $q^k n^2$ is an odd perfect number with special prime $q$, then can $n^2 - q^k$ be a cube?

Published on 25 Mar 2026 - 21:54

score 468 · Answer 2 · 2019-11-01 02:47:43

468

Views

Divisibility by 7 of a number consisting of 0 and 1's

Published on 01 Nov 2019 - 2:47

score 126 · Answer 3 · 2019-11-01 09:51:00

126

Views

Solve the congruence : $3n^{3}+2\equiv 0 \pmod{1163}$ where $n\in \mathbb N$

Published on 01 Nov 2019 - 9:51

score 116 · Answer 4 · 2019-11-01 17:55:53

116

Views

If $a^k|b^{k+100} $ for every $k$, then show $a|b$.

Published on 01 Nov 2019 - 17:55

score 62 · Answer 5 · 2019-11-02 06:05:29

62

Views

Show that not necessarily $p^5 \mid a(a + b) $.

Published on 02 Nov 2019 - 6:05

score 197 · Answer 6 · 2026-03-28 20:56:59

197

Views

Find the tens and hundreds digits

Published on 28 Mar 2026 - 20:56

score 71 · Answer 7 · 2019-11-02 20:36:45

71

Views

Prove that 12 is not a divisor of:

Published on 02 Nov 2019 - 20:36

score 182 · Answer 8 · 2019-11-04 11:06:04

182

Views

Finding the number of subsets of a set such that an element divides the succeeding element.

Published on 04 Nov 2019 - 11:06

score 65 · Answer 9 · 2019-11-04 16:36:37

65

Views

Prove without using Fermat's theorem or congruences that for every integer $ n $ we have:

Published on 04 Nov 2019 - 16:36

score 224 · Answer 10 · 2026-03-29 08:21:12

224

Views

Prove that when $n$ is square free, then $a^2b = a^2c \text{ mod }n$ implies that $ab = ac \text{ mod } n$

Published on 29 Mar 2026 - 8:21

score 33 · Answer 11 · 2026-03-28 20:56:47

33

Views

Placing $n$ zeroes between $5$ and $4$

Published on 28 Mar 2026 - 20:56

score 547 · Answer 12 · 2026-03-26 06:20:08

547

Views

Prove that is divisible by 7 (condition)

Published on 26 Mar 2026 - 6:20

score 70 · Answer 13 · 2019-11-05 00:06:01

70

Views

Find the natural number $pq57r$ written in the decimal system , is divisible by $729$ then find $p,q,r$

Published on 05 Nov 2019 - 0:06

score 198 · Answer 14 · 2019-11-06 04:09:53

198

Views

Determine all integers $n>1$ such that $\frac{2^n+1}{n^2}$ is an integer

Published on 06 Nov 2019 - 4:09

score 41 · Answer 15 · 2019-11-06 18:42:52

41

Views

Demonstrate that it is divisible by 9 and 13

Published on 06 Nov 2019 - 18:42

List Question

If $q^k n^2$ is an odd perfect number with special prime $q$, then can $n^2 - q^k$ be a cube?

Divisibility by 7 of a number consisting of 0 and 1's

Solve the congruence : $3n^{3}+2\equiv 0 \pmod{1163}$ where $n\in \mathbb N$

If $a^k|b^{k+100} $ for every $k$, then show $a|b$.

Show that not necessarily $p^5 \mid a(a + b) $.

Find the tens and hundreds digits

Prove that 12 is not a divisor of:

Finding the number of subsets of a set such that an element divides the succeeding element.

Prove without using Fermat's theorem or congruences that for every integer $ n $ we have:

Prove that when $n$ is square free, then $a^2b = a^2c \text{ mod }n$ implies that $ab = ac \text{ mod } n$

Placing $n$ zeroes between $5$ and $4$

Prove that is divisible by 7 (condition)

Find the natural number $pq57r$ written in the decimal system , is divisible by $729$ then find $p,q,r$

Determine all integers $n>1$ such that $\frac{2^n+1}{n^2}$ is an integer

Demonstrate that it is divisible by 9 and 13

Trending Questions

Popular # Hahtags

Popular Questions