MathDB

Successful numbers

Source: Russian TST 2017, Day 6 P1 (Group NG)

April 1, 2023

number theory

Problem Statement

Let's call a number of the form

x^3+y^2

with natural

x, y

successful. Are there infinitely many natural

m

such that among the numbers from

m + 1

to

m + 2016^2

exactly 2017 are successful?

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