MathDB

Erdős Problem #307 — Products of Sums of Prime Reciprocals

About 1 year old · traced to

Do there exist finite sets of primes PP and QQ such that

1=(∑p∈P1p)(∑q∈Q1q)?1=\left(\sum_{p\in P}\frac1p\right)\left(\sum_{q\in Q}\frac1q\right)?
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.

number-theoryunit-fractions
InErdős Problems
Posted · edited

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.