What is the 5803rd prime number?
The 5803rd prime number is 57221. The next prime is 57223 (a gap of 2) and the one before is 57203.
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 5803rd one is 57221.
- 2
57221 is prime because no prime up to ā57221 ā 239.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5803rd prime is close to 5803 Ć ln(5803) ā 50290, and here it is 57221.
- 4
57221 is a twin prime: 57221 and 57223 are both prime.
Primes around the 5803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
| 5804 | 57223 | 2 |
| 5805 | 57241 | 18 |
| 5806 | 57251 | 10 |
Questions
What is the 5803rd prime number?
57221.
Which prime number is 57221?
57221 is the 5803rd prime number.
What is the sum of the first 5803 primes?
156,963,480.