01
The problem
Schoenberg proved that for every c∈ [0,1] the density of { n∈ ℕ : φ(n)<cn} exists. Let this density be denoted by f(c). Is it true that there are no x such that f'(x) exists and is positive?
Open since1995exact
Last checked2026.07.26Catalog verification
02
Reward offers
Offer 01$250Paul Erdős / Combinatorics Foundation
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