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Erdős problem 18

Conjecture 1. Are there infinitely many practical numbers mm such that h(m)<(log⁡log⁡m)O(1)h(m) < (\log \log m)^{O(1)}?

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The source's own material, retained exactly.

11 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

18.lean

Retained formal statement10 of 11

h(12)=3h(12) = 3: divisors are {1, 2, 3, 4, 6, 12}. The hardest m is m=11, requiring 3 divisors: 11=1+4+6.

FormalConjectures/ErdosProblems/18.leanErdos18.practicalH_twelve1 lineExact file
Erdos18.practicalH 12 = 3
TestStatement only, no proof