What is the 5802nd prime number?
The 5802nd prime number is 57203. The next prime is 57221 (a gap of 18) and the one before is 57193.
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 5802nd one is 57203.
- 2
57203 is prime because no prime up to ā57203 ā 239.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5802nd prime is close to 5802 Ć ln(5802) ā 50280, and here it is 57203.
- 4
57203 has no twin: neither 57201 nor 57205 is prime.
Primes around the 5802nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5799 | 57179 | 6 |
| 5800 | 57191 | 12 |
| 5801 | 57193 | 2 |
| 5802 | 57203 | 10 |
| 5803 | 57221 | 18 |
| 5804 | 57223 | 2 |
| 5805 | 57241 | 18 |
Questions
What is the 5802nd prime number?
57203.
Which prime number is 57203?
57203 is the 5802nd prime number.
What is the sum of the first 5802 primes?
156,906,259.