What is the 816th prime number?
The 816th prime number is 6271. The next prime is 6277 (a gap of 6) and the one before is 6269.
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 816th one is 6271.
- 2
6271 is prime because no prime up to ā6271 ā 79.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 816th prime is close to 816 Ć ln(816) ā 5471, and here it is 6271.
- 4
6271 is a twin prime: 6269 and 6271 are both prime.
Primes around the 816th
| Position | Prime | Gap from the previous |
|---|---|---|
| 813 | 6257 | 10 |
| 814 | 6263 | 6 |
| 815 | 6269 | 6 |
| 816 | 6271 | 2 |
| 817 | 6277 | 6 |
| 818 | 6287 | 10 |
| 819 | 6299 | 12 |
Questions
What is the 816th prime number?
6271.
Which prime number is 6271?
6271 is the 816th prime number.
What is the sum of the first 816 primes?
2,377,373.