proof or disprove :If p is a prime number of 5 or more, there is no integer n satisfying $p + 1 = n^2$
50663
prove or disprove: For a prime number p, there is a positive integer n such that $p+1 $= $n^2$ if and only if $ p = 3.$
50596
$p_1p_2...p_n +1$ is not square for $p_k = k$'th prime
60615
Product of $5$ consecutive integers cannot be perfect square
93948
Is my proof correct? $p_1p_2p_3\cdots p_n+1)$ cannot be the square of an integer
37315
not both $2^n-1,2^n+1$ can be prime.
63702
There is a prime between $n$ and $n^2$, without Bertrand
1189
Using Fermats prime numbers to prove that there is infinitely many prime numbers
30374
If $n\in\mathbb N$ and $4^n+2^n+1$ is prime, prove that there exists an $m\in\mathbb N\cup\{0\}$ such that $n=3^m$.
64782
How to prove if $n$ is prime and $n | a^2$ then $n | a$?
2147
Different ways to prove there are infinitely many primes?
75123
If $p$ be a prime and r be any integer, $0 < r < p$ then $\frac{(p-1)!}{r!(p-r)!}$ is an integer.
48587
Why is $1$ not a prime number?
50781
$(n+1)$th prime $p_{n+1}$ less than or equal to $p_1p_2\dots p_n+1$
18053
Find all prime $p$ such that $x^2=-1$ has a solution in $\mathbb{Z}/p\mathbb{Z}$
105442
Show that any prime divisor of $x^4+x^3+x^2+x+1$, with $x\in\mathbb{N}$, is $5$ or $1$ mod $5$
102889
If $2^n - 1$ is prime from some integer $n$, prove that n must also be prime.
42932
Prove that $p^j q^i$ cannot be a perfect number for $p, q$ odd, distinct primes.