Prime numbers between 201 and 300
There are 16 prime numbers between 201 and 300: 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293.
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 ā300 ā 17.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 16 primes between 201 and 300, with a total of 4,048.
- 3
The biggest gap between neighbouring primes in this range is 12, after 211 (the next prime is 223). There are 4 twin prime pairs (primes 2 apart): (227, 229), (239, 241), (269, 271), (281, 283).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 201 to 210 | 0 | 0% |
| 211 to 220 | 1 | 10% |
| 221 to 230 | 3 | 30% |
| 231 to 240 | 2 | 20% |
| 241 to 250 | 1 | 10% |
| 251 to 260 | 2 | 20% |
| 261 to 270 | 2 | 20% |
| 271 to 280 | 2 | 20% |
| 281 to 290 | 2 | 20% |
| 291 to 300 | 1 | 10% |
Questions
How many prime numbers are there between 201 and 300?
16.
What is the biggest prime number below 300?
293.
What is the first prime number after 200?
211.