Prime numbers between 101 and 200
There are 21 prime numbers between 101 and 200: 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.
How to work it out
- 1
A prime has exactly two factors, 1 and itself. To list them, cross out multiples of 2, then 3, then 5, and so on up to ā200 ā 14.1 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 21 primes between 101 and 200, with a total of 3,167.
- 3
The biggest gap between neighbouring primes in this range is 14, after 113 (the next prime is 127). There are 7 twin prime pairs (primes 2 apart): (101, 103), (107, 109), (137, 139), (149, 151), (179, 181), (191, 193), (197, 199).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 101 to 110 | 4 | 40% |
| 111 to 120 | 1 | 10% |
| 121 to 130 | 1 | 10% |
| 131 to 140 | 3 | 30% |
| 141 to 150 | 1 | 10% |
| 151 to 160 | 2 | 20% |
| 161 to 170 | 2 | 20% |
| 171 to 180 | 2 | 20% |
| 181 to 190 | 1 | 10% |
| 191 to 200 | 4 | 40% |
Questions
How many prime numbers are there between 101 and 200?
21.
What is the biggest prime number below 200?
199.
What is the first prime number after 100?
101.