List questions from elementary-number-theory

Published on 15 Apr 2026 - 17:30

66

Views

Is $x^2-y$ squarefree?

Published on 11 Apr 2026 - 13:32

49

Views

$K$ is a field containing $\mathbb{Z}_p$, then $\alpha\in K$ and $\alpha^p=\alpha$ implies $\alpha\in\mathbb{Z}_p$

Published on 12 Apr 2026 - 10:53

143

Views

Does a number have a primitive root if and only if φ(n)=λ(n)?

Published on 14 Apr 2026 - 10:31

83

Views

About the diophantine $x^2 + t(n) \space y^2 = n $.

Published on 15 Apr 2026 - 15:33

54

Views

Modular arithmetic property proof

Published on 19 Apr 2026 - 16:20

116

Views

Proof that $\gcd(a,b) = \gcd(\operatorname{mod}(a,b),b) $

Published on 29 Apr 2026 - 13:17

42

Views

Groups with the same amount

Published on 13 Apr 2026 - 17:43

66

Views

Do $4$ consecutive positive integers with square totient-value exist?

Published on 12 Apr 2026 - 9:48

49

Views

Factor $d^k+(a-d)^k$

Published on 15 Apr 2026 - 10:55

680

Views

Prove that $2^{2^5} +1 \equiv 0 \mod 641$

Published on 16 Apr 2026 - 18:49

38

Views

Adding extra digit $1$ or $7$ to a multidigit number changes remainder mod $3$

Published on 16 Apr 2026 - 22:28

483

Views

Are $1+p^3+p^6$ and $1+p^4+p^8$ coprime?

Published on 16 Apr 2026 - 18:01

44

Views

Proof that adding an integer $k$ to the end of a prime $p$, $p$ times makes the new value divisible by $p$

Published on 19 Apr 2026 - 16:45

280

Views

Stuck on Generalized Wilson's Theorem

Published on 10 Apr 2026 - 19:21

List Question

Why does this linear recurrence mod $p$ prime have zeros every $\frac{p \pm 1}{2}$ steps?

Is $x^2-y$ squarefree?

$K$ is a field containing $\mathbb{Z}_p$, then $\alpha\in K$ and $\alpha^p=\alpha$ implies $\alpha\in\mathbb{Z}_p$

Does a number have a primitive root if and only if φ(n)=λ(n)?

About the diophantine $x^2 + t(n) \space y^2 = n $.

Modular arithmetic property proof

Proof that $\gcd(a,b) = \gcd(\operatorname{mod}(a,b),b) $

Groups with the same amount

Do $4$ consecutive positive integers with square totient-value exist?

Factor $d^k+(a-d)^k$

Prove that $2^{2^5} +1 \equiv 0 \mod 641$

Adding extra digit $1$ or $7$ to a multidigit number changes remainder mod $3$

Are $1+p^3+p^6$ and $1+p^4+p^8$ coprime?

Proof that adding an integer $k$ to the end of a prime $p$, $p$ times makes the new value divisible by $p$

Stuck on Generalized Wilson's Theorem

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