query: What is the least possible value of $n$ such that $n^2+n+17$ is composite?
positive_passages.docid: 146725
positive_passages.text: Are numbers of the form $n^2+n+17$ always prime
negative_passages.docid: 153831
negative_passages.text: Approximating $\pi$ with least digits
negative_passages.docid: 141371
negative_passages.text: Prove that $\alpha^n+\beta^n+\gamma^n \equiv 4^n+5^n+(-6)^n \pmod{17}$
negative_passages.docid: 57959
negative_passages.text: Every $n > 17$ is a non-negative integer combination of $4$ and $7$.
negative_passages.docid: 45144
negative_passages.text: Another way to write least prime factor.
negative_passages.docid: 43610
negative_passages.text: Limit inferior of the quotient of two consecutive primes
negative_passages.docid: 136933
negative_passages.text: Which $n$ can be expressed as $x^2 − y^2$?
negative_passages.docid: 31184
negative_passages.text: Sums of powers below a prime
negative_passages.docid: 63383
negative_passages.text: Integers $n$ for which $|2^n + 5^n – 65|$ is a perfect square
negative_passages.docid: 38090
negative_passages.text: Partial sums of $nx^n$
negative_passages.docid: 152008
negative_passages.text: Least prime of the form $38^n+31$
negative_passages.docid: 97303
negative_passages.text: Calculate the multiplicative inverse modulo a composite number
negative_passages.docid: 149241
negative_passages.text: What is the maximum number of consecutive composite numbers possible?
negative_passages.docid: 27859
negative_passages.text: least common multiple of $\{1,2,...,n\}$ is bigger than $2^{n-1}$
negative_passages.docid: 81052
negative_passages.text: Determining a limit of parametrized, recursively defined sequence $a_{n+1}=1+\frac{(a_n-1)^2}{17}$
negative_passages.docid: 108238
negative_passages.text: Find the smallest integer $n$ greater than $1$ such that the last $3$ digits of $n^2$ are the same as the last $3$ digits of $n$.
negative_passages.docid: 36757
negative_passages.text: I can't determine the maximum natural number which is unable to be represented as $17\times x+23\times y$