Nanjing Foreign Language School

A Monic Cubic Polynomial Generating 40 Consecutive Prime Values, Counted by Absolute Value

We prove that the monic cubic polynomial\(P(n) = n^3 + 54n^2 - 2917n + 20021\)has the following properties: \(|P(n)|\) is prime for every integer \(n\) with\(0 \le n \le 39\), and \(P(40) = 53741\) is composite. The forty values containexactly thirty-nine distinct primes, since \...

A Monic Cubic Polynomial Generating 40 Consecutive Prime Values, Counted by Absolute Value

We prove that the monic cubic polynomial\(P(n) = n^3 + 54n^2 - 2917n + 20021\)has the following properties: \(|P(n)|\) is prime for every integer \(n\) with\(0 \le n \le 39\), and \(P(40) = 53741\) is composite. The forty values containexactly thirty-nine distinct primes, since \...

Dimethylcurcumin Alleviates Copper Sulfate‐Induced Toxicity by Regulating Glycolipid Metabolism and Arachidonic Acid Metabolism

ABSTRACT The present study aimed to evaluate the effects of dimethylcurcumin (DMC) on copper sulfate (CuSO 4 )‐induced inflammatory toxicity in zebrafish, and preliminarily explore its potential molecular mechanism. Zebrafish larvae at 3 days post‐fertilization (3 dpf) were pretr...

Assessing EFL Learners’ Phraseological Competence Through Association Measures: The Role of Reference Corpus Selection

ABSTRACT Association measures, such as pointwise mutual information (PMI), have been widely used to explore learners’ phraseological competence. Yet, the validity of PMI‐based evaluations critically depends on the reference corpus employed, and the extent to which this methodolog...