Establishes a zero-one law for the Lebesgue measure of E'(φ) and determines the Hausdorff dimension of numbers whose continued fraction expansions have at least two large prime partial quotients infinitely often.
Luczak, On the fractional dimension of sets of continued fractions, Mathematika44(1997), no
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Metric properties of continued fractions with large prime partial quotients
Establishes a zero-one law for the Lebesgue measure of E'(φ) and determines the Hausdorff dimension of numbers whose continued fraction expansions have at least two large prime partial quotients infinitely often.