Erdős problem 828

Is it true that, for any $a \in \mathbb{Z}$ , there are infinitely many $n$ such that $\phi(n) | n + a$ ?

Sources

The source's own material, retained exactly.

3 retained statements36c6d0fef71a

Open selected source

FormalConjectures/ErdosProblems/

828.lean

Retained formal statement1 of 3

Is it true that, for any $a \in \mathbb{Z}$ , there are infinitely many $n$ such that $\phi(n) | n + a$ ?

FormalConjectures/ErdosProblems/828.leanErdos828.erdos_8281 lineExact file

1True ↔ ∀ (a : ℤ), {n | ↑n.totient ∣ ↑n + a}.Infinite

OpenStatement only, no proof

Source providers

Erdős Problems1
locator only
Formal Conjectures3
statement retained
VibeMathed0
not observed here
PLBY Lean proofs0
not observed here
Jayyhk Erdős Lean0
not observed here
William Blair Lean proofs0
not observed here
Erdős AI contributions wiki0
not observed here
GPT-Erdős0
not observed here

Referenced paths

FormalConjectures/
- ErdosProblems/
  - 828.lean3