query: $49,4489,444889,44448889$ is a perfect square.
positive_passages.docid: 41571
positive_passages.text: Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$
negative_passages.docid: 94326
negative_passages.text: a square in a finite field of odd order
negative_passages.docid: 20443
negative_passages.text: Calculate sum of squares of first $n$ odd numbers
negative_passages.docid: 113511
negative_passages.text: What's a good algorithm to determine if an input is a perfect square?
negative_passages.docid: 120498
negative_passages.text: Why perfect square has odd number of factors
negative_passages.docid: 67968
negative_passages.text: When is $2^n -7$ a perfect square?
negative_passages.docid: 81042
negative_passages.text: How can we draw $14$ squares to obtain an $8 \times 8$ table divided into $64$ unit squares?
negative_passages.docid: 9092
negative_passages.text: What is special about square numbers here?
negative_passages.docid: 71591
negative_passages.text: Formula for completing the square?
negative_passages.docid: 30523
negative_passages.text: A binary irrational with bits defined by primes
negative_passages.docid: 72761
negative_passages.text: Perfect square all 9's
negative_passages.docid: 147848
negative_passages.text: Integer $x$ for which $x^4+x^3+x^2+x+1$ is perfect square.
negative_passages.docid: 46606
negative_passages.text: Can an integer of the form $4n+3$ written as a sum of two squares?
negative_passages.docid: 130499
negative_passages.text: How can $p^{q+1}+q^{p+1}$ be a perfect square?
negative_passages.docid: 63383
negative_passages.text: Integers $n$ for which $|2^n + 5^n – 65|$ is a perfect square
negative_passages.docid: 72666
negative_passages.text: Prime Numbers And Perfect Squares
negative_passages.docid: 138081
negative_passages.text: How to determine whether a number can be written as a sum of two squares?