What is the 817th prime number?
The 817th prime number is 6277. The next prime is 6287 (a gap of 10) and the one before is 6271.
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 817th one is 6277.
- 2
6277 is prime because no prime up to ā6277 ā 79.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 817th prime is close to 817 Ć ln(817) ā 5479, and here it is 6277.
- 4
6277 has no twin: neither 6275 nor 6279 is prime.
Primes around the 817th
| Position | Prime | Gap from the previous |
|---|---|---|
| 814 | 6263 | 6 |
| 815 | 6269 | 6 |
| 816 | 6271 | 2 |
| 817 | 6277 | 6 |
| 818 | 6287 | 10 |
| 819 | 6299 | 12 |
| 820 | 6301 | 2 |
Questions
What is the 817th prime number?
6277.
Which prime number is 6277?
6277 is the 817th prime number.
What is the sum of the first 817 primes?
2,383,650.