
Sum of all prime numbers less than is:
(A)
(B)
(C)
(D)
Answer
442.5k+ views
Hint: In the given question, we are required to find the sum of all the prime numbers less than . Prime numbers are the numbers that do not have any other factor except for and the number itself. In other words, prime numbers cannot be divided by any other number except and the number itself.
Complete step-by-step answer:
So, in order to solve the given question, we have to find all the prime numbers less than and then add all of them up so as to find the correct answer to the solution.
So, the prime numbers less than are:
, , , , and .
So, the sum of all these prime numbers that are less than is
Now, adding up all the numbers, we get,
So, the sum of all prime numbers less than is . So, option (A) is correct.
So, the correct answer is “Option A”.
Note: The given question revolves around the number system. One must know about the definition of the prime numbers in order to solve such types of questions. Care should be taken while doing calculations. Calculations must be verified once in order to be sure of the answer.
Complete step-by-step answer:
So, in order to solve the given question, we have to find all the prime numbers less than
So, the prime numbers less than
So, the sum of all these prime numbers that are less than
Now, adding up all the numbers, we get,
So, the sum of all prime numbers less than
So, the correct answer is “Option A”.
Note: The given question revolves around the number system. One must know about the definition of the prime numbers in order to solve such types of questions. Care should be taken while doing calculations. Calculations must be verified once in order to be sure of the answer.
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