Absurd Upper Bounds
Skewes'
eee79
≈ 10101034
Upper bound for first
π(x) > li(x) crossing
π(x) > li(x) crossing
True value: unknown
Mills'
θ = A3ⁿ
A ≈ 1.306377…
⌊A3ⁿ⌋ is prime for all n
(assuming Riemann Hypothesis)
(assuming Riemann Hypothesis)
Exact value: unknown
Skewes 1933 · Mills 1947 · both conditional on RH