prove or disprove that every positive integer is the sum of a perfect square and a prime number or 1
138259
Proof or disproof that every integer can be written as the sum of a prime and a square.
95111
Elementary proof for $\sqrt{p_{n+1}} \notin \mathbb{Q}(\sqrt{p_1}, \sqrt{p_2}, \ldots, \sqrt{p_n})$ where $p_i$ are different prime numbers.
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
38498
Find all primes $p$ such that $(2^{p-1}-1)/p$ is a perfect square
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
34588
Number Theory: $p!+p=n^2$, $p$ = prime
50128
Efficiently finding two squares which sum to a prime
39698
On uniqueness of sums of prime powers
3632
Basic number theory proofs
22023
Infinitely number of primes in the form $4n+1$ proof
152754
When is the sum of divisors a perfect square?
72437
Sum of the digits of a perfect square
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
130731
Is every integer the sum of distinct prime numbers?
45793
How do you prove a number is prime?
27069
sum of all positive integers less than $n$ and relatively prime to $n$
75378
how to prove this extended prime number theorem?