# Elementary Number Theory Problems 3.3 Solution (David M. Burton's 7th Edition) - Q19

My Solution for "In $1950$, it was proved that any integer $n > 9$ can be written as a sum of distinct odd primes. Express the integers $25$, $69$, $81$, and $125$ in this fashion."

## Table of Contents

Background

All theorems, corollaries, and definitions listed in the book's order:

**I will only use theorems or facts that are proved before this question**. So you will not see that I quote theorems or facts from the later chapters.

## Question

In $1950$, it was proved that any integer $n > 9$ can be written as a sum of distinct odd primes. Express the integers $25$, $69$, $81$, and $125$ in this fashion.

## Solution

$25 = 5 + 7 + 13$

$69 = 47 + 17 + 5$

$81 = 47 + 31 + 3$

$125 = 67 + 53 + 5$

**Read More:** All My Solutions for This Book

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