Flashcards
2021-10-10
If you want to prove an expression can’t be a cube, how could you do it??
Show that it can’t lie between two consecutive cubes.
Why can’t $k^3 + 2k^2 + 2k + 1$ be a cube if $k^3 < k^3 + 2k^2 + 2k + 1 < (k + 1)^3$??
Because you can’t have an cube number between two consecutive cube numbers.
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date: 2021-10-10 15:48
summary: how can this result about cubes translate into results about prime numbers?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2015 - Q2