Sum of algebraic number of prime degree.
43219
If $[K(\alpha):K]=p\neq q=[K(\beta):K]$ then $[K(\alpha+\beta):K]=pq$
50128
Efficiently finding two squares which sum to a prime
78917
Show that for any prime numbers $p,q,r$, one has $p^2+q^2 \ne r^2$.
32641
Is there a formula to calculate the sum of all proper divisors of a number?
63965
How can I compute the sum of $ {m\over\gcd(m,n)}$?
8087
Algebraic integers of $\mathbb{Q}(\sqrt{m})$ for $m$ a squarefree integer
111287
number of prime ideals in algebraic integers
67332
Sum of two squares modulo p
151985
If $p$ is a prime and $x,y \in \mathbb{Z}$, then $(x+y)^p \equiv x^p+y^p \pmod{p}$
83145
Sum of rational numbers
31267
Sum of all primes under 2 million
44019
Show that for any prime $ p $, there are integers $ x $ and $ y $ such that $ p|(x^{2} + y^{2} + 1) $.
29799
Sum of four squares not a prime
42265
A proof that $\displaystyle\sum_{i=1}^{n}P''(r_i)/P'(r_i)=0$ for a degree $n$ polynomial
151036
arithmetic progression of primes
140523
Infinite sum of ideals
98808
Finite Sum $\sum_{i=1}^n\frac i {2^i}$