QQuestionMathematics
QuestionMathematics
What is the total number of prime numbers between 130 and 150?
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: List out all numbers between 130 and 150
The numbers are: 131, 133, 137, 139, 141, 143, 147, 149
Step 3:: Check each number for primality
- A prime number is only divisible by 1 and itself - I'll systematically check divisibility for each number
Step 4:: Verify primality
- 147: Not prime ($$147 = 3 \times 49$$)
- 131: Prime (no divisors other than 1 and 131) - 137: Prime (no divisors other than 1 and 137) - 139: Prime (no divisors other than 1 and 139) - 149: Prime (no divisors other than 1 and 149)
Step 5:: Count prime numbers
The prime numbers are: 131, 137, 139, 149
Final Answer
4 prime numbers exist between 130 and 150.
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