Example :
10= 7+3 7 and 3 are prime numbers
100= 53+47
2006-11-14 12:03:48 · 10 answers · asked by apicole 4 in Science & Mathematics ➔ Mathematics
Error in typing. An even number is the sum " of " ( not if ) two prime numbers. Sorry.
2006-11-14 12:11:16 · update #1
This is Goldbach's conjecture and has NOT been proven
true or false. Good luck solving it!!
I looked at the above answers, adn they dont seem to understand the question. You shouldl have said:
Any even number greater than 2 CAN be written as the sum of two primes. Prove true or false.
2006-11-14 12:16:37 · answer #1 · answered by Jim C 3 · 4⤊ 0⤋
This Site Might Help You.
RE:
An even number is the sum if two prime numbers. True? Why?
Example :
10= 7+3 7 and 3 are prime numbers
100= 53+47
2015-08-18 05:24:35 · answer #2 · answered by Fawn 1 · 0⤊ 0⤋
False.
2 and 3 are both prime numbers, yet 2+3 = 5.
The number 2, by the way, is the *only* even prime number -- all other prime numbers are odd (otherwise they'd be divisible by 2!), so what is true is:
An even number is the sum of any two prime numbers *except* the number 2.
:)
2006-11-14 12:06:49 · answer #3 · answered by Anonymous · 0⤊ 2⤋
True but unproven in math terms. That does not mean that the even number cannot be the sum of other non-prime numbers. It almost always can. But, as Mr. Goldbach says, all even numbers are (among other added things) the sum of two prime numbers.
2015-06-13 10:35:36 · answer #4 · answered by Anthony 1 · 0⤊ 0⤋
well, not *exclusively* an even number *can* be the sum of 2 prime numbers, but, using your examples, I can also show the opposite:
10= 6+4 (neither are prime numbers)
100= 50 +50 (not a prime number)
2006-11-14 12:06:02 · answer #5 · answered by Anonymous · 0⤊ 2⤋
a prime number cannot be even because all even numbers are divisible by 2. The sum of 2 odd numbers is always even.
2006-11-14 12:04:49 · answer #6 · answered by darcy_t2e 3 · 0⤊ 2⤋
Not always true. 2 is a prime number as is zero. Excluding those two, it is true because all other prime numbers are odd. An odd # plus an odd always equals an even (unless you start talking about negative numbers).
2006-11-14 12:06:29 · answer #7 · answered by mandiedq 3 · 0⤊ 2⤋
All prime numbers are odd... the sum of any 2 odd numbers is and even number.
2006-11-14 12:06:22 · answer #8 · answered by buckj04 2 · 0⤊ 2⤋
The sum of 2 odd numbers is always even because they pair off together their is naver one left when there are two odd numbers and no even number is prime besides 2 because all other even numbers are divisble by themselves, one and 2.
2006-11-14 12:08:41 · answer #9 · answered by ghetto_haitian115 2 · 1⤊ 2⤋
false
30= 15 +15 and 15 is not a prime number
2006-11-14 12:08:00 · answer #10 · answered by G L 4 · 0⤊ 2⤋