Prime numbers between 4301 and 4,400
There are 9 prime numbers between 4301 and 4,400: 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397.
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 ā4400 ā 66.3 (the sieve of Eratosthenes). What is left are the primes.
- 2
That leaves 9 primes between 4301 and 4,400, with a total of 39,233.
- 3
The biggest gap between neighbouring primes in this range is 18, after 4373 (the next prime is 4391). There are 1 twin prime pairs (primes 2 apart): (4337, 4339).
How many primes in each part
| Range | Primes | Share of the numbers |
|---|---|---|
| 4,301 to 4,310 | 0 | 0% |
| 4,311 to 4,320 | 0 | 0% |
| 4,321 to 4,330 | 1 | 10% |
| 4,331 to 4,340 | 2 | 20% |
| 4,341 to 4,350 | 1 | 10% |
| 4,351 to 4,360 | 1 | 10% |
| 4,361 to 4,370 | 1 | 10% |
| 4,371 to 4,380 | 1 | 10% |
| 4,381 to 4,390 | 0 | 0% |
| 4,391 to 4,400 | 2 | 20% |
Questions
How many prime numbers are there between 4301 and 4,400?
9.
What is the biggest prime number below 4,400?
4397.
What is the first prime number after 4300?
4327.