Prime numbers between 9201 and 9,300
There are 11 prime numbers between 9201 and 9,300: 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293.
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 ā9300 ā 96.4 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 9201 and 9,300, with a total of 101,731.
- 3
The biggest gap between neighbouring primes in this range is 20, after 9257 (the next prime is 9277). There are 2 twin prime pairs (primes 2 apart): (9239, 9241), (9281, 9283).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 9,201 to 9,210 | 2 | 20% |
| 9,211 to 9,220 | 0 | 0% |
| 9,221 to 9,230 | 2 | 20% |
| 9,231 to 9,240 | 1 | 10% |
| 9,241 to 9,250 | 1 | 10% |
| 9,251 to 9,260 | 1 | 10% |
| 9,261 to 9,270 | 0 | 0% |
| 9,271 to 9,280 | 1 | 10% |
| 9,281 to 9,290 | 2 | 20% |
| 9,291 to 9,300 | 1 | 10% |
Questions
How many prime numbers are there between 9201 and 9,300?
11.
What is the biggest prime number below 9,300?
9293.
What is the first prime number after 9200?
9203.