{
  "as_of": "2026-09-05",
  "references": [
    {
      "title": "Variants of the Selberg sieve, and bounded intervals containing many primes",
      "author": "D. H. J. Polymath",
      "venue": "Algebra & Number Theory 8 (2014), no. 9",
      "source_ref": "Lemma 3.3, Heath-Brown identity",
      "url": "https://msp.org/ant/2014/8-9/ant-v8-n9-s.pdf"
    },
    {
      "title": "Prime Numbers in Short Intervals and a Generalized Vaughan Identity",
      "author": "D. R. Heath-Brown",
      "year": 1982,
      "doi": "10.4153/CJM-1982-095-9"
    }
  ]
}