query: Arithmetic progression of four square number with the same common difference
positive_passages.docid: 18932
positive_passages.text: Squares in arithmetic progression
negative_passages.docid: 4061
negative_passages.text: Proving there are infinitely many pairs of square-full consecutive integers
negative_passages.docid: 66216
negative_passages.text: Squares, Cubes and Prime numbers
negative_passages.docid: 94570
negative_passages.text: Proof that every odd integer is a difference of two squares
negative_passages.docid: 104427
negative_passages.text: Sines and cosines of angles in arithmetic progression
negative_passages.docid: 39156
negative_passages.text: Concerning what is between two consecutive squares.
negative_passages.docid: 41789
negative_passages.text: Fermat's theorem on sums of two squares
negative_passages.docid: 119524
negative_passages.text: For $n \in \mathbb{N}$ $\lfloor{\sqrt{n} + \sqrt{n+1}\rfloor} = \lfloor{\sqrt{4n+2}\rfloor}$
negative_passages.docid: 9479
negative_passages.text: $\sum \cos$ when angles are in arithmetic progression
negative_passages.docid: 90076
negative_passages.text: Prove that every positive integer $n$ is a unique product of a square and a squarefree number
negative_passages.docid: 96791
negative_passages.text: How to show that $\lfloor n/1\rfloor+\lfloor n/2 \rfloor+....+\lfloor n/n\rfloor+\lfloor{\sqrt{n}}\rfloor$ is even?
negative_passages.docid: 148906
negative_passages.text: Finding integers $m,n$ such that $(m-n)^2=4mn/(m+n-1)$
negative_passages.docid: 29099
negative_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: 56229
negative_passages.text: On the difference between consecutive primes
negative_passages.docid: 61324
negative_passages.text: Finding the "square root" of a permutation
negative_passages.docid: 87267
negative_passages.text: Conjecture similar to Fermat's Theorem.
negative_passages.docid: 41641
negative_passages.text: $(n-7)(n+7)=$ some perfect square