Prime numbers between 9301 and 9,400
There are 11 prime numbers between 9301 and 9,400: 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397.
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 ā9400 ā 97.0 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 11 primes between 9301 and 9,400, with a total of 102,859.
- 3
The biggest gap between neighbouring primes in this range is 22, after 9349 (the next prime is 9371). There are 1 twin prime pairs (primes 2 apart): (9341, 9343).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 9,301 to 9,310 | 0 | 0% |
| 9,311 to 9,320 | 2 | 20% |
| 9,321 to 9,330 | 1 | 10% |
| 9,331 to 9,340 | 1 | 10% |
| 9,341 to 9,350 | 3 | 30% |
| 9,351 to 9,360 | 0 | 0% |
| 9,361 to 9,370 | 0 | 0% |
| 9,371 to 9,380 | 2 | 20% |
| 9,381 to 9,390 | 0 | 0% |
| 9,391 to 9,400 | 2 | 20% |
Questions
How many prime numbers are there between 9301 and 9,400?
11.
What is the biggest prime number below 9,400?
9397.
What is the first prime number after 9300?
9311.