Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 185192 by Rupesh123 last updated on 18/Jan/23

Commented by Rasheed.Sindhi last updated on 18/Jan/23

This is equivalent to that every +ve integer can be written as a^(2021) +b^(2023) or c^(2022) +d^(2024) .I think it′s not possible for all cases.

$$\mathrm{This}\:\mathrm{is}\:\mathrm{equivalent}\:\mathrm{to}\:\mathrm{that}\:\mathrm{every}\:+\mathrm{ve} \\ $$$$\mathrm{integer}\:\mathrm{can}\:\mathrm{be}\:\mathrm{written}\:\mathrm{as}\:{a}^{\mathrm{2021}} +{b}^{\mathrm{2023}} \\ $$$$\mathrm{or}\:\mathrm{c}^{\mathrm{2022}} +{d}^{\mathrm{2024}} .\mathrm{I}\:\mathrm{think}\:\mathrm{it}'\mathrm{s}\:\mathrm{not}\:\mathrm{possible}\:\mathrm{for} \\ $$$$\mathrm{all}\:\mathrm{cases}. \\ $$

Commented by floor(10²Eta[1]) last updated on 18/Jan/23

yes, for example 3 cannot be written in this form

$$\mathrm{yes},\:\mathrm{for}\:\mathrm{example}\:\mathrm{3}\:\mathrm{cannot}\:\mathrm{be}\:\mathrm{written}\:\mathrm{in}\:\mathrm{this}\:\mathrm{form} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com