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OlympiadBench / 1997 / Let k≥2 be an integer. Find the smallest integer n≥k+1…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

answer type

Expression

is multiple answer

false

language

English

question

Let

k \geqslant 2

be an integer. Find the smallest integer

n \geqslant k+1

with the property that there exists a set of

n

distinct real numbers such that each of its elements can be written as a sum of

k

other distinct elements of the set.

Plain-text mathematical notation (without MathML)

Let k≥2 be an integer. Find the smallest integer n≥k+1 with the property that there exists a set of n distinct real numbers such that each of its elements can be written as a sum of k other distinct elements of the set.

Original LaTeX notation

Let $k \geqslant 2$ be an integer. Find the smallest integer $n \geqslant k+1$ with the property that there exists a set of $n$ distinct real numbers such that each of its elements can be written as a sum of $k$ other distinct elements of the set.

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 1997
task_id: 465f3a2b-83b2-5cf9-8d8a-57b9ca3c9cf5
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--1997
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

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