query: Perfect squares in the form $103k-104$
positive_passages.docid: 27287
positive_passages.text: $-1$ is a quadratic residue modulo $p$ if and only if $p\equiv 1\pmod{4}$
negative_passages.docid: 149481
negative_passages.text: Number theory counting sums of squares modulus
negative_passages.docid: 19588
negative_passages.text: $n!+1$ being a perfect square
negative_passages.docid: 125702
negative_passages.text: There is a square $Q$ consisting of $(0,0), (2,0), (0,2), (2,2)$
negative_passages.docid: 67968
negative_passages.text: When is $2^n -7$ a perfect square?
negative_passages.docid: 19954
negative_passages.text: Perfect set without rational numbers
negative_passages.docid: 58171
negative_passages.text: Two problems about Squarefree numbers
negative_passages.docid: 140433
negative_passages.text: The number of ways of writing an integer as a sum of two squares
negative_passages.docid: 121469
negative_passages.text: Proof of observations on natural numbers being expressed as differences of squares.
negative_passages.docid: 22840
negative_passages.text: The sum of the first $n$ squares is a square: a system of two Pell-type-equations
negative_passages.docid: 80458
negative_passages.text: How to efficiently find the largest perfect square dividing a given large integer?
negative_passages.docid: 8034
negative_passages.text: Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
negative_passages.docid: 66216
negative_passages.text: Squares, Cubes and Prime numbers
negative_passages.docid: 78593
negative_passages.text: Prove that the product of four consecutive positive integers plus one is a perfect square
negative_passages.docid: 44790
negative_passages.text: Find $n$ for which $\frac{n(n+1)}{2}$ is perfect square
negative_passages.docid: 145676
negative_passages.text: Percentage of natural numbers that are perfect squares?
negative_passages.docid: 31970
negative_passages.text: Alternating sum of squares of binomial coefficients