What is the 833rd prime number?
The 833rd prime number is 6389. The next prime is 6397 (a gap of 8) and the one before is 6379.
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 833rd one is 6389.
- 2
6389 is prime because no prime up to ā6389 ā 79.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 833rd prime is close to 833 Ć ln(833) ā 5602, and here it is 6389.
- 4
6389 has no twin: neither 6387 nor 6391 is prime.
Primes around the 833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
| 836 | 6427 | 6 |
Questions
What is the 833rd prime number?
6389.
Which prime number is 6389?
6389 is the 833rd prime number.
What is the sum of the first 833 primes?
2,485,078.