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Question-185192




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

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