37,41,43,47,53,59,61,?,?,
Answers
Answer:
67,71
Step-by-step explanation:
all are prime numbers in a series the next two are 67,71
Given:
A series of numbers 37,41,43,47,53,59,61,?,?,
To Find:
The numbers replacing the '?' in the series are?
Solution:
The given problem can be solved by developing a common logic between every term.
1. The given series is 37,41,43,47,53,59,61,?,?,
2. Every term in the sequence is a prime number. Every term in the series is the preceding prime number of the previous term.
3. A prime number is defined as a number that has only two factors. The two factors are 1 and the number itself.
For Example, the number 5 is considered a prime number because it has only two factors. ( 1 and 5 ).
4. The last prime number in the series is 61.
=> The next prime number after 61 is 67.
=> Hence the first '?' is the number 67.
=> The next prime number after 67 is 71.
=> Hence, the second '?' is the number 71.
Therefore, the two missing numbers are 67 and 71. The completed series is 37, 41, 43, 47, 53, 59, 61, 67, and 71.