my math teacher gave this conjecture to my class as homework.
"Every integer greater than 5 can be written as the sum of three primes."
can anyone disprove it?
2006-09-27 11:18:30 · 2 answers · asked by harcal4 2 in Education & Reference ➔ Homework Help
anyone????
2006-09-28 01:13:41 · update #1
I've heard the conjecture: Every integer greater than 2 can be written as the sum of two primes.
But I have never heard of the conjecture: Every integer greater than 5 can be written as the sum of three primes.
I wil surely look into it though!
After I have done some research, I do not think anyone has proved that any number greater than five can be written as the sum of 3 primes. Since they haven't a British publisher is giving a $1 million dollar reward for the person that does prove it.
2006-09-27 11:46:01 · answer #1 · answered by s93thokala 2 · 0⤊ 0⤋
The hard part is to prove that every ODD integer
greater than 5 can be written as the sum of three
primes. As far as I know, this is still open.
The good news is that there only a finite number
of cases to check. The bad news is that there
are so many. The conjecture is known to be
true for all integers greater than 10^(43000)!
That is no kind of homework problem IMHO!!
2006-09-27 19:03:45 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋