{
  "date": "2026-09-09",
  "sources": [
    {
      "name": "Ayla Gafni and Terence Tao — On the number of exceptional intervals to the prime number theorem in short intervals",
      "url": "https://arxiv.org/abs/2505.24017",
      "role": "2025 preprint / 2026 Essential Number Theory; zero-density and zero-additive-energy exceptional-set transfer, L2/L4 exponents, higher-moment remark"
    },
    {
      "name": "Kaisa Matomäki — Almost primes in almost all very short intervals",
      "url": "https://doi.org/10.1112/jlms.12592",
      "role": "power-saving exceptional-set calibration for a sieve / P2 short-interval problem"
    },
    {
      "name": "P. X. Gallagher — On the distribution of primes in short intervals",
      "url": "https://doi.org/10.1112/S0025579300016442",
      "role": "classical factorial-moment and sieve upper-tail calibration for prime counts at logarithmic interval scale"
    }
  ]
}