List questions from divisibility

Published on 25 Oct 2015 - 6:24

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Find all non-negative integers $n$ satisfying $2^{n}\equiv n^{2} mod\, 5$

Published on 25 Oct 2015 - 18:57

349

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Understand this proof of division with remainder

Published on 28 Mar 2026 - 1:09

1.3k

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Finding number of integers divisible by 2, 3 or 4 using inclusion-exclusion principle.

Published on 31 Mar 2026 - 14:38

84

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An upper bound for the number of answers of this equation

Published on 26 Oct 2015 - 13:28

82

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Greatest common divisor of 2n+1 and 9n+4

Published on 03 Apr 2026 - 12:55

197

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Prove $ax=ay \pmod {p^2}$ implies $x=y \pmod {p^2}$

Published on 30 Mar 2026 - 10:38

336

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Why are every number (integer) exactly divisible by 5 in decimal number system but not in binary number system?

Published on 11 Apr 2026 - 19:43

335

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How to prove that $4n^2+4n+8$ is even?

Published on 28 Oct 2015 - 3:58

13k

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Is an arbitrary number of the form xyzxyz divisible by 7, 11, 13?

Published on 28 Oct 2015 - 15:15

255

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A simple question about divisibility: If $n$ divides the product of coprime numbers...

Published on 12 Apr 2026 - 0:40

8.1k

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Number of ordered pairs $(x, y)$ such that $0 \leq x, y\leq 18$ and $3x+4y+5$ is divisible by $19$

Published on 29 Oct 2015 - 15:34

6.4k

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Mathematical Induction Divisibility Problem

Published on 11 Apr 2026 - 15:49

84

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Proof by induction that $3\mid n^3-n$ - confused about inductive step

Published on 12 Apr 2026 - 21:16

1.2k

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Finding how many numbers are divisible by a prime number

Published on 13 Apr 2026 - 2:28

List Question

Division theorem for polynomials with integer coefficients

Find all non-negative integers $n$ satisfying $2^{n}\equiv n^{2} mod\, 5$

Understand this proof of division with remainder

Finding number of integers divisible by 2, 3 or 4 using inclusion-exclusion principle.

An upper bound for the number of answers of this equation

Greatest common divisor of 2n+1 and 9n+4

Prove $ax=ay \pmod {p^2}$ implies $x=y \pmod {p^2}$

Why are every number (integer) exactly divisible by 5 in decimal number system but not in binary number system?

How to prove that $4n^2+4n+8$ is even?

Is an arbitrary number of the form xyzxyz divisible by 7, 11, 13?

A simple question about divisibility: If $n$ divides the product of coprime numbers...

Number of ordered pairs $(x, y)$ such that $0 \leq x, y\leq 18$ and $3x+4y+5$ is divisible by $19$

Mathematical Induction Divisibility Problem

Proof by induction that $3\mid n^3-n$ - confused about inductive step

Finding how many numbers are divisible by a prime number

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