List questions from number-theory

Published on 08 Apr 2026 - 2:12

85

Views

For which $p$ primes is $p^{p-1}$ a divisor of $(p-1)^p + 1$?

Published on 15 Apr 2026 - 12:29

154

Views

Integer valued polynomials in several variables

Published on 12 May 2026 - 5:21

791

Views

Why does the Euler's totient function $\phi(n)$ give the minimum of exponent s.t. $a^{\phi(n)}\equiv 1\pmod n$, given that $(a,n)=1$?

Published on 17 Apr 2026 - 6:44

68

Views

Condition on $n$ for no sequence to exist

Published on 17 Apr 2026 - 2:38

66

Views

Computing number of solutions for equations in $F_{m^s}$ (finite field with $m^s$ elements)

Published on 15 May 2026 - 1:59

248

Views

Is -1 a number?

Published on 12 Apr 2026 - 14:21

469

Views

What makes Riemann hypothesis so much harder to prove than its analogue for curves over finite fields

Published on 10 May 2026 - 18:27

200

Views

Maximum runs of composites in arithmetic progressions

Published on 10 May 2026 - 14:05

57

Views

Number of primes in sets of $k$ positive integers

Published on 16 Apr 2026 - 12:48

703

Views

No. of ways for $(((n \mod i) \mod j) \mod k) \mod n$

Published on 16 May 2026 - 1:49

85

Views

Why we need to have $S(x)=O(x)$?

Published on 15 May 2026 - 1:53

282

Views

Since $\zeta(1) \neq 1$, does this mean that $\zeta$ is not multiplicative?

Published on 10 May 2026 - 17:39

583

Views

Can the sum of two squares be used to factor large numbers?

Published on 11 May 2026 - 4:19

1.7k

Views

Prove $x^n+y^n=z^n$ has no solution in natural numbers for $n\geq z$

Published on 15 Apr 2026 - 6:43

List Question

Square roots in $\mathbb{Z}^{*}_{p^2}$

For which $p$ primes is $p^{p-1}$ a divisor of $(p-1)^p + 1$?

Integer valued polynomials in several variables

Why does the Euler's totient function $\phi(n)$ give the minimum of exponent s.t. $a^{\phi(n)}\equiv 1\pmod n$, given that $(a,n)=1$?

Condition on $n$ for no sequence to exist

Computing number of solutions for equations in $F_{m^s}$ (finite field with $m^s$ elements)

Is -1 a number?

What makes Riemann hypothesis so much harder to prove than its analogue for curves over finite fields

Maximum runs of composites in arithmetic progressions

Number of primes in sets of $k$ positive integers

No. of ways for $(((n \mod i) \mod j) \mod k) \mod n$

Why we need to have $S(x)=O(x)$?

Since $\zeta(1) \neq 1$, does this mean that $\zeta$ is not multiplicative?

Can the sum of two squares be used to factor large numbers?

Prove $x^n+y^n=z^n$ has no solution in natural numbers for $n\geq z$

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