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Erdős problem 266

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Let ana_n be an infinite sequence of positive integers such that ∑1an\sum \frac{1}{a_n} converges. There exists some integer t≥1t \ge 1 such that ∑1an+t\sum \frac{1}{a_n + t} is irrational.

Erdős Problems records this as disproved.

No Repository has ruled on it here.

How far the record reaches4 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal2 retained
  4. Resolutiondisproved
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Irrationality22
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