List questions from divisibility

Published on 30 Jan 2019 - 19:54

65

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Why do these two sequences end in an increasing number of zeroes?

Published on 26 Mar 2026 - 8:04

479

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Find all integers n (positive, negative, or zero) so that $n^3 – 1$ is divisible by $n + 1$

Published on 03 Feb 2019 - 3:48

135

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Minimize $152207x-81103y$ over the positive integers.

Published on 25 Mar 2026 - 6:10

23

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Operation that selects a unique representative from each class of associate elements

Published on 04 Feb 2019 - 21:35

64

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If $gcd(a,b)=1$ then $gcd\big(\frac{a^{p}+b^{p}}{a+b},a+b\big)=1$ unless $p|a+b$

Published on 26 Mar 2026 - 17:53

59

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divisibility of the sum of two consecutive primes

Published on 05 Feb 2019 - 18:16

70

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should this definition of $a$ divides $b$ be changed?

Published on 06 Feb 2019 - 17:26

23

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Multiple of Numbers

Published on 07 Feb 2019 - 10:23

119

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Divisibility of Determinant of matrix

Published on 07 Feb 2019 - 12:32

76

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Proof by induction: $3^n|a_n\ $

Published on 27 Mar 2026 - 10:08

397

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Find all values of $p-q$ if $p, q$ are prime and ${q+1\over q}+{p\over p+1}={2n\over n+2}$ where $n$ is a positive integer.

Published on 08 Feb 2019 - 14:46

52

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Can someone give me a hint on how to prove this?

Published on 25 Mar 2026 - 9:53

454

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Prove that your answer is correct. $a|b$ if and only if $ac|bc$.

Published on 11 Feb 2019 - 4:38

518

Views

How to detect if binary number divides by 3 if transmitted MSB first

Published on 13 Feb 2019 - 12:13

List Question

Prove a sequence is a divisibility sequence

Why do these two sequences end in an increasing number of zeroes?

Find all integers n (positive, negative, or zero) so that $n^3 – 1$ is divisible by $n + 1$

Minimize $152207x-81103y$ over the positive integers.

Operation that selects a unique representative from each class of associate elements

If $gcd(a,b)=1$ then $gcd\big(\frac{a^{p}+b^{p}}{a+b},a+b\big)=1$ unless $p|a+b$

divisibility of the sum of two consecutive primes

should this definition of $a$ divides $b$ be changed?

Multiple of Numbers

Divisibility of Determinant of matrix

Proof by induction: $3^n|a_n\ $

Find all values of $p-q$ if $p, q$ are prime and ${q+1\over q}+{p\over p+1}={2n\over n+2}$ where $n$ is a positive integer.

Can someone give me a hint on how to prove this?

Prove that your answer is correct. $a|b$ if and only if $ac|bc$.

How to detect if binary number divides by 3 if transmitted MSB first

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