What is the 830th prime number?
The 830th prime number is 6367. The next prime is 6373 (a gap of 6) and the one before is 6361.
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 830th one is 6367.
- 2
6367 is prime because no prime up to ā6367 ā 79.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 830th prime is close to 830 Ć ln(830) ā 5579, and here it is 6367.
- 4
6367 has no twin: neither 6365 nor 6369 is prime.
Primes around the 830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 827 | 6353 | 10 |
| 828 | 6359 | 6 |
| 829 | 6361 | 2 |
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
Questions
What is the 830th prime number?
6367.
Which prime number is 6367?
6367 is the 830th prime number.
What is the sum of the first 830 primes?
2,465,937.