GOLDBACH'S CONJECTURE

What does Rumpole do when not trying and winning cases? 
Well, we read. We write. 

And we try and solve number theory problems. 

Goldbach's Conjecture states that every even integer greater than two can be expressed by the sum of two prime numbers. 

A prime number is a number divisible only by itself and one. 1,3,5,7,11,13,17,19,23....you get the point. 

Goldbach's conjecture states that an even number say 10 can be expressed by the sum of two primes:

7 + 3 =10;  19 +23 =42. Pick any even number. It works.  

For some even integers there can be more than one set of prime numbers. For instance 100= 97 +3;  or 
100= 89 + 11; etc.

Goldach's second conjecture: 
In the margins of Goldbach's letter in which he wrote on June 30, 1742,  Goldbach also wrote that any integer over five can be expressed by the sum of any three prime numbers. 

While we're confident that any test you run will show that the both conjectures work, the conjectures have never been proven. And proof is what drives mathematicians. 

So have at it, but remember that hundreds of the best mathematicians in the world have devoted years of their careers to a mostly fruitless search for a proof. Hint: you need to start at the "prime integer theorem" and go from there. 

It's better than taking a depo on Thanksgiving eve. 

See You In Court in a few weeks.