If the number is even, is it true that it can be obtained with nonequal even terms?
Example: 8=4 + 4, 8=6 + 2
There is a reference to the properties of an even number, but an even number can have one property and not two, or am I mistaken?
2 Answers
There is a reference to the banal logic and method of proof/refutation of statements.
Any number, including even, can be represented as its sum with zero
n=n + 0
Since 0 is an even number, then for n ≠ 0 the assertion holds.For zero, we can take a pair of nonzero even numbers with a different sign
0=n +( n), n ≠ 0
Thus, for zero, the statement is also satisfied;therefore, it is true.
Any number, including even, can be represented as its sum with zero
n=n + 0
Since 0 is an even number, then for n ≠ 0 the assertion holds.For zero, we can take a pair of nonzero even numbers with a different sign
0=n +( n), n ≠ 0
Thus, for zero, the statement is also satisfied;therefore, it is true.

Sorry, forgot to say.Anything, just not 0.
I faltered at the number 2, it is even, but it can only be obtained using odd numbers. – Perverted Robot Aug 19 '18 at 15:00 
Perverted Robot, Then it’s enough to take two numbers  n2 and 2 – Amused Angelfish Aug 19 '18 at 15:17
Verno.There are several ways.Only
Take any random integer.Multiply by 2.This is the first even.
Checking that the result is not equal to half the original number  this is the only exception.
The second even is to subtract the first from the initial one.
The difference of two even numbers is an even number.We guarantee the inequality of the components by checking the single case above.
infinity minus 1
:Take any random integer.Multiply by 2.This is the first even.
Checking that the result is not equal to half the original number  this is the only exception.
The second even is to subtract the first from the initial one.
The difference of two even numbers is an even number.We guarantee the inequality of the components by checking the single case above.


[[Rsa97]], we live in a
freecountry, why not take a zero?
 For the first table fell Zero! Congratulations to the man in the cylinder! – Vivacious Vendace Aug 19 '18 at 11:37
Any other can be represented as
n=(n2) + 2 – Hungry5 Aug 19 '18 at 11:43
2=274 + 276
The unequal
274! == 276
is even terms. – Vivacious Vendace Aug 19 '18 at 11:45