11.The prime numbers 17 and 19 differ by 2.
Find other examples ofprime numbers
differingby'2.
The prime numbers 3 and 5 differ by 2.
The prime numbers 5 and 7 differ by 2.
The prime numbers 11 and 13 differ by 2.
The prime numbers 29 and 31 differ by 2.
The prime numbers 41 and 43 differ by 2.
The prime numbers 59 and 61 differ by 2.
The prime numbers 71 and 73 differ by 2.
The prime numbers 101 and 103 differ by 2.
The prime numbers 107 and 109 differ by 2.
The prime numbers 137 and 139 differ by 2.
The prime numbers 149 and 151 differ by 2.
The prime numbers 179 and 181 differ by 2.
The prime numbers 191 and 193 differ by 2.
The prime numbers 197 and 199 differ by 2.
To find other examples of prime numbers differing by 2, we can start by listing the prime numbers and checking if any two consecutive prime numbers have a difference of 2.
Here are some examples:
1. (3, 5) - The prime numbers 3 and 5 differ by 2.
2. (5, 7) - The prime numbers 5 and 7 differ by 2.
3. (11, 13) - The prime numbers 11 and 13 differ by 2.
4. (17, 19) - The prime numbers 17 and 19 differ by 2.
5. (29, 31) - The prime numbers 29 and 31 differ by 2.
6. (41, 43) - The prime numbers 41 and 43 differ by 2.
7. (59, 61) - The prime numbers 59 and 61 differ by 2.
8. (71, 73) - The prime numbers 71 and 73 differ by 2.
These are just a few examples of prime numbers that differ by 2. There are infinitely many such pairs of prime numbers.
To find other examples of prime numbers differing by 2, we can start by understanding what it means for two numbers to differ by 2. When we say that two numbers differ by 2, it means that the absolute difference between the two numbers is 2.
Prime numbers are numbers that are divisible only by 1 and themselves, without any other factors. To find prime numbers differing by 2, we need to check if a number and its neighbor (either on the left or right) are both prime.
Let's start with the number 3. The prime numbers that differ by 2 for the number 3 are 3+2=5 and 3-2=1. However, 1 is not considered a prime number, so we cannot count it.
Next, we move to the number 5. Here, the prime numbers that differ by 2 are 5+2=7 and 5-2=3.
We can continue this process to find more examples:
7 -> 11 and 5
11 -> 13 and 7
13 -> 17 and 11
17 -> 19 and 13
19 -> 23 and 17
We can keep going, checking if the numbers on either side of each prime number are also prime, and continue to find more examples.
Alternatively, you can also use a prime number generator or write a program that checks for prime numbers and their neighbors to find such examples efficiently.