List questions from elementary-number-theory

Published on 15 Apr 2026 - 8:26

448

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Determine all primes $p > 5$ such that 10 is a quadratic residue mod p

Published on 15 Apr 2026 - 16:51

103

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Where’s the error in my factorial proof?

Published on 16 Apr 2026 - 19:25

406

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Area of a triangle whose vertices are the only lattice points in it

Published on 14 Apr 2026 - 21:26

161

Views

Diophantine Equation on squares and cubes

Published on 12 Apr 2026 - 8:26

307

Views

Closest lower-bound on the prime counting function

Published on 15 Apr 2026 - 8:29

72

Views

Which primes can never divide an "ec"-number?

Published on 09 Apr 2026 - 3:37

92

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Does concatening $5^n$ and $31^n$ ever lead to a prime?

Published on 13 Apr 2026 - 8:50

68

Views

Show that there is a unique $k$ such that $1\le k\le5$ and $5\mid b+2^nk$ for any positive integers $b$ and $n$.

Published on 16 Apr 2026 - 6:45

435

Views

Show that the number of solutions to $x^n\equiv 1 \pmod p$ is $\gcd(n, p-1)$, where $p$ is a prime

Published on 16 Apr 2026 - 2:14

839

Views

Let $p$ be a prime that is congruent to 1 mod 4. Show that the sum of the primitive roots mod $p$ is zero mod $p$

Published on 17 Apr 2026 - 13:01

645

Views

Number theory and set theory problem

Published on 13 Apr 2026 - 10:12

102

Views

Legendre symbol related-problem

Published on 14 Apr 2026 - 23:37

57

Views

Trinary Dirichlet convolution: $\sum_{abc=n} f(a)g(b) h(c)$ does not lead to anything new?

Published on 09 Apr 2026 - 5:28

373

Views

A congruence involving Fibonacci polynomials

Published on 14 Apr 2026 - 19:56

List Question

Proof for showing the order of $a^k$ is $\frac{d}{gcd(k,d)}$.

Determine all primes $p > 5$ such that 10 is a quadratic residue mod p

Where’s the error in my factorial proof?

Area of a triangle whose vertices are the only lattice points in it

Diophantine Equation on squares and cubes

Closest lower-bound on the prime counting function

Which primes can never divide an "ec"-number?

Does concatening $5^n$ and $31^n$ ever lead to a prime?

Show that there is a unique $k$ such that $1\le k\le5$ and $5\mid b+2^nk$ for any positive integers $b$ and $n$.

Show that the number of solutions to $x^n\equiv 1 \pmod p$ is $\gcd(n, p-1)$, where $p$ is a prime

Let $p$ be a prime that is congruent to 1 mod 4. Show that the sum of the primitive roots mod $p$ is zero mod $p$

Number theory and set theory problem

Legendre symbol related-problem

Trinary Dirichlet convolution: $\sum_{abc=n} f(a)g(b) h(c)$ does not lead to anything new?

A congruence involving Fibonacci polynomials

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