What is the 5804th prime number?
The 5804th prime number is 57223. The next prime is 57241 (a gap of 18) and the one before is 57221.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5804th one is 57223.
- 2
57223 is prime because no prime up to ā57223 ā 239.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5804th prime is close to 5804 Ć ln(5804) ā 50299, and here it is 57223.
- 4
57223 is a twin prime: 57221 and 57223 are both prime.
Primes around the 5804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
| 5804 | 57223 | 2 |
| 5805 | 57241 | 18 |
| 5806 | 57251 | 10 |
| 5807 | 57259 | 8 |
Questions
What is the 5804th prime number?
57223.
Which prime number is 57223?
57223 is the 5804th prime number.
What is the sum of the first 5804 primes?
157,020,703.