h1
e^(π√163): terrifyingly close to a whole number
…744 integer e^(π√163) …743.9999999999993 gap ≈ 7.5×10⁻¹³
Table of Heegner numbers and how close e to the pi root is t
d (Heegner) e^(π√d) distance to int. 19 884736744 ~0.000022 43 884736743.9999… ~0.000002 67 147197952743.999… ~10⁻³ 163 262537…743.99999… ~7.5×10⁻¹² 163 is the largest Heegner number. Its near-integer is the most dramatic 12 nines after the decimal.
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