In 1950, it was proved that any integer n

Background

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

Theorems and Corollaries in Elementary Number Theory (Ch 1 - 3)

All theorems and corollaries mentioned in David M. Burton’s Elementary Number Theory are listed by following the book’s order. (7th Edition) (Currently Ch 1 - 3)

RanblogRan

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

$25 = 5 + 7 + 13$
$69 = 47 + 17 + 5$
$81 = 47 + 31 + 3$
$125 = 67 + 53 + 5$

< Chapter 3.3, Q18 Chapter 3.3, Q20 >

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