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The smallest prime number greater than 1000 is
- a)1001
- b)1003
- c)1007
- d)1009
Correct answer is 'D'. Can you explain this answer?
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Most Upvoted Answer
The smallest prime number greater than 1000 isa) ...
Finding the smallest prime number greater than 1000
To find the smallest prime number greater than 1000, we need to check the numbers one by one after 1000 until we find a prime number.
Checking for divisibility
We can begin by checking if the numbers after 1000 are divisible by any of the prime numbers less than or equal to the square root of the number.
For example, we can check if the number 1001 is divisible by any of the prime numbers less than or equal to the square root of 1001, which is approximately 31.6.
Checking for divisibility by prime numbers less than or equal to 31, we find that 1001 is divisible by 7. Therefore, 1001 is not a prime number.
We can continue this process for the next numbers after 1001 until we find a prime number.
The correct answer
The smallest prime number greater than 1000 is 1009.
Checking for divisibility by prime numbers less than or equal to 31, we find that 1009 is not divisible by any of them. Therefore, 1009 is a prime number.
Conclusion
To find the smallest prime number greater than a given number, we need to check the numbers one by one until we find a prime number. We can check for divisibility by prime numbers less than or equal to the square root of the number. In this case, the smallest prime number greater than 1000 is 1009.
To find the smallest prime number greater than 1000, we need to check the numbers one by one after 1000 until we find a prime number.
Checking for divisibility
We can begin by checking if the numbers after 1000 are divisible by any of the prime numbers less than or equal to the square root of the number.
For example, we can check if the number 1001 is divisible by any of the prime numbers less than or equal to the square root of 1001, which is approximately 31.6.
Checking for divisibility by prime numbers less than or equal to 31, we find that 1001 is divisible by 7. Therefore, 1001 is not a prime number.
We can continue this process for the next numbers after 1001 until we find a prime number.
The correct answer
The smallest prime number greater than 1000 is 1009.
Checking for divisibility by prime numbers less than or equal to 31, we find that 1009 is not divisible by any of them. Therefore, 1009 is a prime number.
Conclusion
To find the smallest prime number greater than a given number, we need to check the numbers one by one until we find a prime number. We can check for divisibility by prime numbers less than or equal to the square root of the number. In this case, the smallest prime number greater than 1000 is 1009.
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Community Answer
The smallest prime number greater than 1000 isa) ...
1001 is divisible by 11 1003 is divisible by 17 1007 is divisible by 19 and 1009 is a prime number.
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The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer?
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The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer?.
The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The smallest prime number greater than 1000 isa) 1001 b) 1003 c) 1007 d) 1009 Correct answer is 'D'. Can you explain this answer?.
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