Erdős Problem #257 — Let $A\subseteq \mathbb{N}$ be an infinite set. Is $\sum_{n\in A}\frac{1}{2^n-1}$ irrational?

About 58 years old · traced to 1968

Let $A\subseteq \mathbb{N}$ be an infinite set. Is $\sum_{n\in A}\frac{1}{2^n-1}$ irrational?

References

Primary source

ULAM AI, UnsolvedMath dataset, Erdős Problems set, revision b9437975f3c873f635a13c48f8b022f5ba80898a; CC BY 4.0.

Additional references

UnsolvedMath, Erdős Problems set, ULAM AI, licensed CC BY 4.0.

InErdős Problems

Posted 1 month ago · edited 3 weeks ago

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