Question

An interesting conjecture.
Any even whole number more than or equal to 4 can be expressed as a sum
of two prime numbers.


For example:
\[6=3+3\]

\[32=19+13\]


The list goes long but I am stopping right here.

Answer 1

how about 2000 :P

Answer 2

I don't really know it very long. It can be 991 + 1009, I think.

Answer 3

Yes, it is.

Answer 4

it is the property

Answer 5

what about 2?

Answer 6

1 + 1(because 1 is considered prime in some cases)

Answer 7

1 is not prime no

Answer 8

hmm...it is a matter of some debate

Answer 9

I know, but it does have the properties of a prime number.

Answer 10

it is not true 4 2

Answer 11

Let's leave 2 behind. More numbers?

Answer 12

@ParthKohli if you can solve this 5569652 it only proves that you have a calculator out there helping you :P lol

Answer 13

I guessed the 2000 one lol

Answer 14

since it is satiesfying aa even no it is property

Answer 15

one is an even whole number that cannot be expressed as a sum to two prime numbers

Answer 16

One is odd* @UnkleRhaukus

Answer 17

odd, hmm yeah i didn't really think about what this word meant
haha

Answer 18

uncle pagla gaya h

Answer 19

isnt this Goldbach's Conjecture? its for even numbers greater than or equal to 4, so dont worry about 2.

Answer 20

parth qn change karo

Answer 21

For conventional purposes, 1 is not a prime, because we want integers to have a unique prime factorization. If 1 was considered a prime, then we would have:\[20=2^2\cdot 5=1\cdot 2^2\cdot 5=1^{100}\cdot 2^2\cdot 5=\cdots\]

Answer 22

is zero odd even or neither?

Answer 23

Even.

Answer 24

bhai joe see property of prime no
see defination of prime

Answer 25

Why is 0 even?

Answer 26

because it is a multiple of 2

Answer 27

2*0 = 0;

Answer 28

3*0=0

Answer 29

Yes, this is Goldbach's

Answer 30

because it can be written as:\[0=2(0)\]any even number can be written as:\[n=2k\]any odd number can be written as:\[n=2k+1\]

Answer 31

O is even because it is divisible by 2.

Answer 32

oh i see

Answer 33

I changed it.

Answer 34

even comes after odd and before odd no
-1 0 1

Answer 35

ok i'm convinced zero is even
Can we use the Goldbach's Conjecture to find prime numbers?

Answer 36

We cannot.