Prove that there exist infinite positive integers n such that n and n + 1 are filled with squares in its factorization
94575
Inductive proof that there are infinitely many pairs of consecutive powerful integers?
54355
$1+x+\ldots+x^n$ perfect square
63394
About integer factorization
142992
Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$
8034
Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
81124
Infinite product problem: $\sum p_n0$
24820
Prove that if $n$ is a perfect square, then either $n \equiv 1 \pmod 4$, or $n \equiv 0 \pmod 4$.
146439
Is every sufficiently large positive integer of the form $ab + ac + bc + 1$?
135955
Prove: The positive integers cannot be partitioned into arithmetic sequences (using Complex Analysis)
27063
Prove that if n is an odd positive integer , then $n^2\equiv1\mod8$
98468
Are there infinitely many primes of the form $n!+1$?
69136
factorization of a^n+1?
22154
Show that given a set of positive n integers, there exists a non-empty subset whose sum is divisible by n
90102
How to prove that $p-1$ is squarefree infinitely often?
41641
$(n-7)(n+7)=$ some perfect square
116361
Relationship between prime factorizations of $n$ and $n+1$?
22840
The sum of the first $n$ squares is a square: a system of two Pell-type-equations