What is the 815th prime number?
The 815th prime number is 6269. The next prime is 6271 (a gap of 2) and the one before is 6263.
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 815th one is 6269.
- 2
6269 is prime because no prime up to ā6269 ā 79.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 815th prime is close to 815 Ć ln(815) ā 5463, and here it is 6269.
- 4
6269 is a twin prime: 6269 and 6271 are both prime.
Primes around the 815th
| Position | Prime | Gap from the previous |
|---|---|---|
| 812 | 6247 | 18 |
| 813 | 6257 | 10 |
| 814 | 6263 | 6 |
| 815 | 6269 | 6 |
| 816 | 6271 | 2 |
| 817 | 6277 | 6 |
| 818 | 6287 | 10 |
Questions
What is the 815th prime number?
6269.
Which prime number is 6269?
6269 is the 815th prime number.
What is the sum of the first 815 primes?
2,371,102.