Question

Condition of cube of prime dividing $\prod_{i = 0}^{n} ((n - i)^3 + 1)$

score 67 · Answer 1 · 2018-10-03 20:06:48

67

Views

Condition of cube of prime dividing $\prod_{i = 0}^{n} ((n - i)^3 + 1)$

Published on 03 Oct 2018 - 20:06

score 40 · Answer 2 · 2018-10-03 20:25:25

40

Views

A Criteria of Diophantine Equations on one variable, Is it wrong?

Published on 03 Oct 2018 - 20:25

score 127 · Answer 3 · 2018-10-03 21:25:46

127

Views

A Proposition related to Fermat Factorization Method

Published on 03 Oct 2018 - 21:25

score 111 · Answer 4 · 2018-10-04 16:12:16

111

Views

Prove that $2^q+q^2$ is divisible by 3 where $q$ is a prime and $q\geq5$.

Published on 04 Oct 2018 - 16:12

score 949 · Answer 5 · 2018-10-05 03:53:08

949

Views

The number of positive integers $ n=2^a3^b$ such that $n^6$ does not divide $6^n$

Published on 05 Oct 2018 - 3:53

score 186 · Answer 6 · 2026-03-25 22:27:02

186

Views

Divisors of $\left(p^2+1\right)^2$ congruent to $1 \bmod p$, where $p$ is prime

Published on 25 Mar 2026 - 22:27

score 237 · Answer 7 · 2026-03-25 19:00:49

237

Views

Slowest-growing divisibility sequence?

Published on 25 Mar 2026 - 19:00

score 209 · Answer 8 · 2018-10-06 12:11:21

209

Views

Integer factors of rational and irrational numbers

Published on 06 Oct 2018 - 12:11

score 80 · Answer 9 · 2018-10-06 22:50:28

80

Views

If $p|(a-b)$ and $q|(a-b)$, then prove that $pq|(a-b)$

Published on 06 Oct 2018 - 22:50

score 57 · Answer 10 · 2026-03-25 17:26:54

57

Views

When is the denominator of the sum of two positive fractions not divisible by the denominator of either numbers?

Published on 25 Mar 2026 - 17:26

score 1.9k · Answer 11 · 2018-10-07 22:07:18

1.9k

Views

Prove that integer not divisible by $2$ or $3$ is not divisible by $6$

Published on 07 Oct 2018 - 22:07

score 108 · Answer 12 · 2018-10-07 22:28:58

108

Views

Sum of elements of order dividing a divisor of $p-1$ in the group of units of $\mathbb{Z}/p\mathbb{Z}$

Published on 07 Oct 2018 - 22:28

score 61 · Answer 13 · 2018-10-08 14:51:12

61

Views

Finding a couple of numbers which satisfy $(a + b)|(a + c)$ and $(a + b)|(2c)$ using a "systematic" method

Published on 08 Oct 2018 - 14:51

score 679 · Answer 14 · 2018-10-08 15:09:47

679

Views

Understanding a proof that $17\mid (2x+3y)$ iff $17\mid(9x +5y)$

Published on 08 Oct 2018 - 15:09

score 63 · Answer 15 · 2026-03-25 23:36:52

63

Views

$h\mid (3a + 5b)$, prove $h\mid a$ and $h\mid b$

Published on 25 Mar 2026 - 23:36

List Question

Condition of cube of prime dividing $\prod_{i = 0}^{n} ((n - i)^3 + 1)$

A Criteria of Diophantine Equations on one variable, Is it wrong?

A Proposition related to Fermat Factorization Method

Prove that $2^q+q^2$ is divisible by 3 where $q$ is a prime and $q\geq5$.

The number of positive integers $ n=2^a3^b$ such that $n^6$ does not divide $6^n$

Divisors of $\left(p^2+1\right)^2$ congruent to $1 \bmod p$, where $p$ is prime

Slowest-growing divisibility sequence?

Integer factors of rational and irrational numbers

If $p|(a-b)$ and $q|(a-b)$, then prove that $pq|(a-b)$

When is the denominator of the sum of two positive fractions not divisible by the denominator of either numbers?

Prove that integer not divisible by $2$ or $3$ is not divisible by $6$

Sum of elements of order dividing a divisor of $p-1$ in the group of units of $\mathbb{Z}/p\mathbb{Z}$

Finding a couple of numbers which satisfy $(a + b)|(a + c)$ and $(a + b)|(2c)$ using a "systematic" method

Understanding a proof that $17\mid (2x+3y)$ iff $17\mid(9x +5y)$

$h\mid (3a + 5b)$, prove $h\mid a$ and $h\mid b$

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