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Erdős problem 269

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Let PP be a finite set of primes with ∣P∣≥2|P| \ge 2 and let {a1<a2<… }\{a_1 < a_2 < \dots\} be the set of positive integers whose prime factors are all in PP. Is the sum ∑n=1∞1[a1,…,an] \sum_{n=1}^\infty \frac{1}{[a_1,\ldots,a_n]} irrational?

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal3 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Irrationality22
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