From 3487ebe5ff3a02c632cc973f51628eed8daecf06 Mon Sep 17 00:00:00 2001 From: Robin Clark Date: Mon, 6 Jul 2015 20:18:47 +0100 Subject: [PATCH] Had put stars into one of the bags instead of commas, old 'C' programmer... --- papers/fermat/fermat.tex | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) diff --git a/papers/fermat/fermat.tex b/papers/fermat/fermat.tex index 96ce5fc..2fc11c8 100644 --- a/papers/fermat/fermat.tex +++ b/papers/fermat/fermat.tex @@ -165,7 +165,7 @@ For this prime factor to be preserved in the result of an addition, it must be in both summed quantities at an equal or greater power (or number of duplicates of that prime in the bag). % -Consider two numbers with $11^2$ in one number and $11$ in the other: $bpf(110)=\{11*2*5\}$ +Consider two numbers with $11^2$ in one number and $11$ in the other: $bpf(110)=\{11,2,5\}$ and $bpf(67639)=\{13,11,11,43\}$. The only common prime factor is 11 once. % % @@ -195,7 +195,9 @@ present in the result, i.e. $bpf(126324)=\{2,2,3,3,11,11,29\}$. % This means for $a+b$ and $a^n+b^n$ the only prime factors preserved (i.e. in $c^n$) are those common to $a$ and $b$. - +Another way to look at this is the number of common prime factors is multiplied by +the addition in the brackets. +%% BONFIRE OF THE PRIMES:wq \subsection{Conditions for having a integer root}