For prime $p$ do we have $p^3+p^2+p+1=n^2$ infinitely often?
56328
Find p is the prime number which $\frac{p+1}{2}$ and $\frac{p^2+1}{2}$ both are square number.
157766
Are primes (ignoring $2$) equally likely to be $1~\text{or}~3\pmod 4$?
104917
Is $\sqrt1+\sqrt2+\dots+\sqrt n$ ever an integer?
137010
What are integers $x$ and $n$ such as $ x^4+x^3+x^2+x+1 = n^2$?
136279
Infinitely many primes $\equiv 3 \mod 4$
59782
Are there any $n$ for which $ n^4+n^3+n^2+n+1$ is a perfect square?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
68221
Question regardles primes and the fundamental theorem of arithmetic
51518
Is $\sqrt[3]{p+q\sqrt{3}}+\sqrt[3]{p-q\sqrt{3}}=n$, $(p,q,n)\in\mathbb{N} ^3$ solvable?
146126
Infinite positive integer solutions of the equation: $x^2+x+1=(y^2+y+1)(n^2+n+1)$
84879
Solving infinite sums with primes.
116361
Relationship between prime factorizations of $n$ and $n+1$?
80399
Is $29$ the only prime of the form $p^p+2$?
15915
For any prime $p > 3$, why is $p^2-1$ always divisible by 24?
24008
Infinitely many primes of the form $\lfloor \sqrt {3} \cdot n \rfloor $?
106111
Understanding that there are infinitely many primes of form $4n+3$
87522
If $ a + b + c \mid a^2 + b^2 + c^2$ then $ a + b + c \mid a^n + b^n + c^n$ for infinitely many $n$