Question

On the divisibility of the common difference of three Prime Numbers $> 3$ in an arithmetic progression

score 44 · Answer 1 · 2026-03-26 11:18:27

44

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On the divisibility of the common difference of three Prime Numbers $> 3$ in an arithmetic progression

Published on 26 Mar 2026 - 11:18

score 179 · Answer 2 · 2019-07-28 20:43:18

179

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How to reason that $n^5 - n$ is divisible by 2 as proof for a consequence of Fermat's little theorem.

Published on 28 Jul 2019 - 20:43

score 35 · Answer 3 · 2026-03-25 14:22:31

35

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Does $2r - \sigma(r)$ divide $\sigma(r)$ if $r$ is deficient-perfect?

Published on 25 Mar 2026 - 14:22

score 30 · Answer 4 · 2026-03-22 00:18:41

30

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Prove that if $x$ is a multiple of $a$ and $b$, then $x$ is also a multiple of $\operatorname{lcm}(a,b)$

Published on 22 Mar 2026 - 0:18

score 99 · Answer 5 · 2026-03-27 13:06:37

99

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Problem in proof concerning division algorithm.

Published on 27 Mar 2026 - 13:06

score 1.1k · Answer 6 · 2019-08-01 17:01:34

1.1k

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Why can we say that if $d$ divides both $a$ and $b$, then it also divides the remainder of $a/b$?

Published on 01 Aug 2019 - 17:01

score 98 · Answer 7 · 2019-08-01 18:35:48

98

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Unique variance conjecture: The ratio of a number to the variance of its divisors is injective

Published on 01 Aug 2019 - 18:35

score 1.4k · Answer 8 · 2026-03-27 07:19:56

1.4k

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What is the smallest positive integer $n > 1$ such that $3^n$ ends with $003$?

Published on 27 Mar 2026 - 7:19

score 84 · Answer 9 · 2019-08-04 16:51:51

84

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Is this proof about divisibility correct?

Published on 04 Aug 2019 - 16:51

score 179 · Answer 10 · 2026-03-27 23:40:23

179

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Can i factor this expression: $x^3+y^3+z^3$

Published on 27 Mar 2026 - 23:40

score 198 · Answer 11 · 2026-03-28 21:34:18

198

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If $n = 18k+5$ is composite, there are at least 9 divisors of $\phi(n)$ which do not divide $n-1$.

Published on 28 Mar 2026 - 21:34

score 175 · Answer 12 · 2026-03-26 06:22:27

175

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Prove that for $\forall m \ge 2$, $\dfrac{1}{2}(a^4 + b^4 + c^4) \mid [(ab)^{2^m} + (bc)^{2^m} + (ca)^{2^m}]$.

Published on 26 Mar 2026 - 6:22

score 1.3k · Answer 13 · 2019-08-08 01:04:40

1.3k

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Divisibility Rules of 2019

Published on 08 Aug 2019 - 1:04

score 292 · Answer 14 · 2019-08-08 01:50:02

292

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Are the polynomial remainder and factor theorems equivalent?

Published on 08 Aug 2019 - 1:50

score 171 · Answer 15 · 2026-03-26 07:48:27

171

Views

Polynomial division first!

Published on 26 Mar 2026 - 7:48

List Question

On the divisibility of the common difference of three Prime Numbers $> 3$ in an arithmetic progression

How to reason that $n^5 - n$ is divisible by 2 as proof for a consequence of Fermat's little theorem.

Does $2r - \sigma(r)$ divide $\sigma(r)$ if $r$ is deficient-perfect?

Prove that if $x$ is a multiple of $a$ and $b$, then $x$ is also a multiple of $\operatorname{lcm}(a,b)$

Problem in proof concerning division algorithm.

Why can we say that if $d$ divides both $a$ and $b$, then it also divides the remainder of $a/b$?

Unique variance conjecture: The ratio of a number to the variance of its divisors is injective

What is the smallest positive integer $n > 1$ such that $3^n$ ends with $003$?

Is this proof about divisibility correct?

Can i factor this expression: $x^3+y^3+z^3$

If $n = 18k+5$ is composite, there are at least 9 divisors of $\phi(n)$ which do not divide $n-1$.

Prove that for $\forall m \ge 2$, $\dfrac{1}{2}(a^4 + b^4 + c^4) \mid [(ab)^{2^m} + (bc)^{2^m} + (ca)^{2^m}]$.

Divisibility Rules of 2019

Are the polynomial remainder and factor theorems equivalent?

Polynomial division first!

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