The prime numbers between 51 and 200 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, and 199.
Understanding Prime Numbers
A prime number is a whole number greater than 1 that has only two distinct positive divisors: 1 and itself. Numbers that are not prime, and are greater than 1, are called composite numbers because they can be formed by multiplying two smaller positive integers. For example, 7 is a prime number because its only divisors are 1 and 7. On the other hand, 6 is a composite number because it can be divided by 1, 2, 3, and 6.
Identifying Prime Numbers Between 51 and 200
To accurately list the prime numbers within the range of 51 to 200, we can utilize established mathematical lists. According to Cuemath's "List of Prime Numbers From 1 to 500", the primes are categorized into specific ranges, making it easy to extract the required information.
The prime numbers between 51 and 200 include those from the latter part of the 1-100 range and all primes from the 101-200 range.
Prime Numbers from 51 to 100
These are the prime numbers that fall strictly after 51 and up to 100:
- 53
- 59
- 61
- 67
- 71
- 73
- 79
- 83
- 89
- 97
Prime Numbers from 101 to 200
These are the prime numbers found between 101 and 200, inclusive:
- 101
- 103
- 107
- 109
- 113
- 127
- 131
- 137
- 139
- 149
- 151
- 157
- 163
- 167
- 173
- 179
- 181
- 191
- 193
- 197
- 199
Comprehensive List and Count
Combining both sets, the complete list of prime numbers between 51 and 200 is as follows:
| Range | Prime Numbers (Sorted) | Count |
|---|---|---|
| 51 - 100 | 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 | 10 |
| 101 - 200 | 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 | 21 |
| Total | 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199 | 31 |
There are a total of 31 prime numbers between 51 and 200.
