List questions from elementary-number-theory

Published on 06 May 2026 - 10:28

377

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Disprove Big-O statement

Published on 10 Apr 2026 - 23:54

844

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If n is an even number, show that one of the two values n, n+2 must always be a multiple of 4, regardless of the value of n.

Published on 16 Apr 2026 - 14:24

102

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Richard Courant's Humour?

Published on 13 Apr 2026 - 1:30

44

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Attempted proof of primality (basic)

Published on 10 Apr 2026 - 1:59

366

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Is there a method that can allow us to know how to prove theorems (number theory)?

Published on 13 Apr 2026 - 7:16

41

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Base $b$ such that as many $x_b$ divide $x$ in set $\mathcal{Q}$

Published on 16 Apr 2026 - 0:33

163

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Show that n(n + 2)(n + 4) is either divisible by 16, or is an odd number.

Published on 16 Apr 2026 - 5:08

50

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Certain conditions for primitive roots of $n$.

Published on 10 May 2026 - 21:00

340

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Prove that for any integers a and b and c, gcd(a, b) = gcd(a + bc, a + b(c − 1))

Published on 16 Apr 2026 - 6:11

140

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Detemine the unit digit of a number

Published on 15 Apr 2026 - 6:48

1.6k

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How does the (extended) Euclidean algorithm generalize to polynomials?

Published on 10 May 2026 - 20:49

704

Views

Finding integer solution to a quadratic equation in two unknowns

Published on 09 Apr 2026 - 15:25

240

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Let $x, y, p, n, k$ be positive integers such that $n$ is odd and $p$ is an odd prime. Prove that if $x^n + y^n = p^k$ , then $n$ is a power of $p$.

Published on 17 Apr 2026 - 3:30

588

Views

Prove or disprove: if $10$ divides $n^{4}$, then $10$ divides $n$

Published on 16 Apr 2026 - 11:55

List Question

Checking the proof for the following prime question.

Disprove Big-O statement

If n is an even number, show that one of the two values n, n+2 must always be a multiple of 4, regardless of the value of n.

Richard Courant's Humour?

Attempted proof of primality (basic)

Is there a method that can allow us to know how to prove theorems (number theory)?

Base $b$ such that as many $x_b$ divide $x$ in set $\mathcal{Q}$

Show that n(n + 2)(n + 4) is either divisible by 16, or is an odd number.

Certain conditions for primitive roots of $n$.

Prove that for any integers a and b and c, gcd(a, b) = gcd(a + bc, a + b(c − 1))

Detemine the unit digit of a number

How does the (extended) Euclidean algorithm generalize to polynomials?

Finding integer solution to a quadratic equation in two unknowns

Let $x, y, p, n, k$ be positive integers such that $n$ is odd and $p$ is an odd prime. Prove that if $x^n + y^n = p^k$ , then $n$ is a power of $p$.

Prove or disprove: if $10$ divides $n^{4}$, then $10$ divides $n$

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