Erdős problem 241

Is it true that $f(N)\sim N^{1/3}$ ?

Sources

The source's own material, retained exactly.

5 retained statements36c6d0fef71a

FormalConjectures/ErdosProblems/

241.lean

Retained formal statement2 of 5

More generally, Bose and Chowla [BoCh62] conjectured that the maximum size of $A\subseteq \{1,\ldots,N\}$ with all $r$ -fold sums distinct (aside from the trivial coincidences) then $\lvert A\rvert \sim N^{1/r}.$

FormalConjectures/ErdosProblems/241.leanErdos241.erdos_241.variants.generalization1 lineExact file

1∀ r ≥ 2, Erdos241.BoseChowlaConjecture r

OpenStatement only, no proof

Source providers

Erdős Problems1
locator only
Formal Conjectures5
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/
  - 241.lean5