Open Question
e
transcendental ✓
+
π
transcendental ✓
=
e + π
transcendental?
?
At least one of e + π and e · π
is transcendental (both are irrational).
Which one — or both — remains unproven.
is transcendental (both are irrational).
Which one — or both — remains unproven.
Nesterenko 1996 proved π and eᵖ are algebraically independent