query: Show that that on a line or a column there exists more than 2 perfect square
positive_passages.docid: 29099
positive_passages.text: Let consider a square $10$x$10$ and write in the every unit square the numbers from $1$ to $100$
negative_passages.docid: 48787
negative_passages.text: A number is a perfect square if and only if it has odd number of positive divisors
negative_passages.docid: 114542
negative_passages.text: Can a number with $100$ $0$'s $100$ $1$'s and $100$ $2$'s ever be a perfect square?
negative_passages.docid: 135458
negative_passages.text: When is a sum of consecutive squares equal to a square?
negative_passages.docid: 107781
negative_passages.text: Detecting perfect squares faster than by extracting square root
negative_passages.docid: 115833
negative_passages.text: $m \times n$ persons stand in $m$ rows and $n$ columns
negative_passages.docid: 54355
negative_passages.text: $1+x+\ldots+x^n$ perfect square
negative_passages.docid: 15616
negative_passages.text: How can I split an equation over two (or more) lines
negative_passages.docid: 41641
negative_passages.text: $(n-7)(n+7)=$ some perfect square
negative_passages.docid: 118538
negative_passages.text: Find all integers $x$ such that $x^2+3x+24$ is a perfect square.
negative_passages.docid: 142631
negative_passages.text: Show that A has the same cardinality as $A\setminus\{x,y,z\}$
negative_passages.docid: 134
negative_passages.text: Prove that the expression is a perfect square
negative_passages.docid: 55582
negative_passages.text: How can I show that $\sqrt{1+\sqrt{2+\sqrt{3+\sqrt\ldots}}}$ exists?
negative_passages.docid: 142580
negative_passages.text: Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
negative_passages.docid: 65581
negative_passages.text: $m$ is a perfect square iff $m$ has an odd number of divisors?
negative_passages.docid: 92106
negative_passages.text: Prove that $n$ is a sum of two squares?
negative_passages.docid: 141101
negative_passages.text: Russia (2000) contest:Prove the existence of a pair of rows and columns with intersections differently coloured