Write 3 pairs of prime number with difference of 3
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(2,5),(7,11) I just got 2 of them
darpit009:
11 - 7 = 4 lol
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Hey there..
Here's your answer..
The first thing to notice about this question is that 3 is an odd number.
If two numbers have an odd difference, one must be odd, and the other even.
This is easiest to intuit if you look at a number line.
So we know that one of the numbers has to be even. From the question, we also know that they both have to be prime.
There is exactly one number that is both even and prime: 2.
Any other even number must, by definition, be a multiple of 2, so it can’t be prime.
If one number is two, the other must be either 5 or -1 to have a difference of 3. -1 obviously isn’t prime, so the only solution is (2, 5).
Here's your answer..
The first thing to notice about this question is that 3 is an odd number.
If two numbers have an odd difference, one must be odd, and the other even.
This is easiest to intuit if you look at a number line.
So we know that one of the numbers has to be even. From the question, we also know that they both have to be prime.
There is exactly one number that is both even and prime: 2.
Any other even number must, by definition, be a multiple of 2, so it can’t be prime.
If one number is two, the other must be either 5 or -1 to have a difference of 3. -1 obviously isn’t prime, so the only solution is (2, 5).
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