[wedog6]

Heuristic: (65/64)^64 is extremely close to e. This comes from a classic formula for e as the limit of (1+1/n)^n.

Therefore (65/64)^32 is roughly sqrt(e). Since 1 < e < 4, 1 < sqrt(e) < 2. So 65^32 < 2 * 64^32.

[fallingfrog]

Thats a lovely observation! Very clever.