Prove that this set is contained in that set
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Can someone give me some hint on how to solve this question? Any help is appreciated.
Let $X=mathbb{N}setminus big{atimes b ;:;; a, b in mathbb{N}setminus{ 1}big}$. Prove that $$big{2n ;:;; ninmathbb{N}setminus{0, 1}big}subseteq {a + b ;:;; a, b in X}.$$
number-theory elementary-number-theory elementary-set-theory natural-numbers
asked Nov 22 at 22:37
john
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favorite
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Can someone give me some hint on how to solve this question? Any help is appreciated.
Let $X=mathbb{N}setminus big{atimes b ;:;; a, b in mathbb{N}setminus{ 1}big}$. Prove that $$big{2n ;:;; ninmathbb{N}setminus{0, 1}big}subseteq {a + b ;:;; a, b in X}.$$
number-theory elementary-number-theory elementary-set-theory natural-numbers
asked Nov 22 at 22:37
john
16
To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
1
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53
|
show 1 more comment
up vote
-1
down vote
favorite
1
up vote
-1
down vote
favorite
1
1
Can someone give me some hint on how to solve this question? Any help is appreciated.
Let $X=mathbb{N}setminus big{atimes b ;:;; a, b in mathbb{N}setminus{ 1}big}$. Prove that $$big{2n ;:;; ninmathbb{N}setminus{0, 1}big}subseteq {a + b ;:;; a, b in X}.$$
number-theory elementary-number-theory elementary-set-theory natural-numbers
asked Nov 22 at 22:37
john
16
Can someone give me some hint on how to solve this question? Any help is appreciated.
Let $X=mathbb{N}setminus big{atimes b ;:;; a, b in mathbb{N}setminus{ 1}big}$. Prove that $$big{2n ;:;; ninmathbb{N}setminus{0, 1}big}subseteq {a + b ;:;; a, b in X}.$$
number-theory elementary-number-theory elementary-set-theory natural-numbers
number-theory elementary-number-theory elementary-set-theory natural-numbers
asked Nov 22 at 22:37
john
16
asked Nov 22 at 22:37
john
16
asked Nov 22 at 22:37
john
16
asked Nov 22 at 22:37
john
16
asked Nov 22 at 22:37
john
16
16
To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
1
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53
|
show 1 more comment
To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
1
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53
To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
1
1
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53
|
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To the downvoters: can you please tell me what I can edit to make the question better?
– john
Nov 22 at 23:03
math.stackexchange.com/questions/ask Look on the right where it says, "How to Ask."
– Frudrururu
Nov 22 at 23:11
1
I apologize if I am wrong but this looks like the Goldbach Conjecture to me. The statement you have to prove is that every even integer greater than $2$ can be written as the sum of two positive primes.
– Frudrururu
Nov 23 at 0:05
Needless to say, "Prove the Goldbach conjecture" isn't really appropriate for this site.
– Noah Schweber
Nov 23 at 1:33
So the answer is then that the statement that is the matter of the queston is a formulation of the Goldbach conjecture.
– AmbretteOrrisey
Nov 23 at 2:53