Y by Resolut1on07, Adventure10, Mango247, anantmudgal09, cubres
Let
be an integer, and let
be positive integers. Show that there exist positive integers
satisfying the following three conditions:
for 
the remainders of
on division by
are pairwise different; and

(Here,
denotes the integer part of real number
, that is, the largest integer that does not exceed
.)










(Here,



This post has been edited 1 time. Last edited by darij grinberg, Nov 28, 2020, 5:26 PM
Reason: typo
Reason: typo