MathDB

Erdős Problem #259 — Irrationality of a Möbius-Square Series

About 45 years old · traced to

Is

∑n=0∞μ(n)2n2n\sum_{n=0}^{\infty}\mu(n)^2\frac{n}{2^n}

irrational, where μ\mu is the Möbius function?

References

Primary source

The Formal Conjectures Authors, Formal Conjectures (2025); independently edited from the pinned source file.

Additional references

Pinned Formal Conjectures source, Apache-2.0.

irrationality
InErdős Problems
Posted · edited

Progress summary

Refreshed
Open

No public discussion or published progress on this irrationality question was found.

No public discussion or published progress was found for the question of whether the series is irrational.

Current status (as of the available scan): the question appears open, with no recorded activity.

Solutions 0

No solutions have been posted yet.