What is the 818th prime number?
The 818th prime number is 6287. The next prime is 6299 (a gap of 12) and the one before is 6277.
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 818th one is 6287.
- 2
6287 is prime because no prime up to ā6287 ā 79.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 818th prime is close to 818 Ć ln(818) ā 5486, and here it is 6287.
- 4
6287 has no twin: neither 6285 nor 6289 is prime.
Primes around the 818th
| Position | Prime | Gap from the previous |
|---|---|---|
| 815 | 6269 | 6 |
| 816 | 6271 | 2 |
| 817 | 6277 | 6 |
| 818 | 6287 | 10 |
| 819 | 6299 | 12 |
| 820 | 6301 | 2 |
| 821 | 6311 | 10 |
Questions
What is the 818th prime number?
6287.
Which prime number is 6287?
6287 is the 818th prime number.
What is the sum of the first 818 primes?
2,389,937.