What is the 5818th prime number?
The 5818th prime number is 57373. The next prime is 57383 (a gap of 10) and the one before is 57367.
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 5818th one is 57373.
- 2
57373 is prime because no prime up to ā57373 ā 239.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5818th prime is close to 5818 Ć ln(5818) ā 50435, and here it is 57373.
- 4
57373 has no twin: neither 57371 nor 57375 is prime.
Primes around the 5818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5815 | 57347 | 16 |
| 5816 | 57349 | 2 |
| 5817 | 57367 | 18 |
| 5818 | 57373 | 6 |
| 5819 | 57383 | 10 |
| 5820 | 57389 | 6 |
| 5821 | 57397 | 8 |
Questions
What is the 5818th prime number?
57373.
Which prime number is 57373?
57373 is the 5818th prime number.
What is the sum of the first 5818 primes?
157,822,961.