Express the following number as the sum of three odd primes.
53.
Answer
629.1k+ views
Hint:
Here we need to express the given number as the sum of three odd prime numbers. For that, we will consider the prime numbers less than the given number and we will take three odd prime numbers less than the given numbers in such a way that when we add these numbers, we will get the value of sum as the given number.
Complete step by step solution:
Here we need to express the given number 53 as the sum of three odd prime numbers.
Since, we have to find the sum equal to the given number 53, so we will consider those numbers only which are below 53.
We will first select the three odd prime numbers below 53.
As we know that 3, 7 and 43 are three odd prime numbers less than 53. So if we consider these three odd prime numbers, their sum is equal to $3+7+43=53$ .
So we can express the number 53 as the sum of these three odd prime numbers.
Expressing the given statement mathematically, we get
$53=3+7+43$
Note:
We have expressed 53 as the sum of three odd prime numbers 3, 7, and 43. Odd prime number is defined as a number which is odd as well as prime. Prime number is defined as a number which has only two factors i.e. one and the number itself.
We can also express 53 as the sum of another three odd prime numbers 7, 17 and 29 and again we can express 53 as the sum of another three odd prime numbers 7, 17 and 29. We can see that all these odd prime numbers are less than 53.
Here we need to express the given number as the sum of three odd prime numbers. For that, we will consider the prime numbers less than the given number and we will take three odd prime numbers less than the given numbers in such a way that when we add these numbers, we will get the value of sum as the given number.
Complete step by step solution:
Here we need to express the given number 53 as the sum of three odd prime numbers.
Since, we have to find the sum equal to the given number 53, so we will consider those numbers only which are below 53.
We will first select the three odd prime numbers below 53.
As we know that 3, 7 and 43 are three odd prime numbers less than 53. So if we consider these three odd prime numbers, their sum is equal to $3+7+43=53$ .
So we can express the number 53 as the sum of these three odd prime numbers.
Expressing the given statement mathematically, we get
$53=3+7+43$
Note:
We have expressed 53 as the sum of three odd prime numbers 3, 7, and 43. Odd prime number is defined as a number which is odd as well as prime. Prime number is defined as a number which has only two factors i.e. one and the number itself.
We can also express 53 as the sum of another three odd prime numbers 7, 17 and 29 and again we can express 53 as the sum of another three odd prime numbers 7, 17 and 29. We can see that all these odd prime numbers are less than 53.
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