What is the 834th prime number?
The 834th prime number is 6397. The next prime is 6421 (a gap of 24) and the one before is 6389.
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 834th one is 6397.
- 2
6397 is prime because no prime up to ā6397 ā 79.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 834th prime is close to 834 Ć ln(834) ā 5610, and here it is 6397.
- 4
6397 has no twin: neither 6395 nor 6399 is prime.
Primes around the 834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
| 836 | 6427 | 6 |
| 837 | 6449 | 22 |
Questions
What is the 834th prime number?
6397.
Which prime number is 6397?
6397 is the 834th prime number.
What is the sum of the first 834 primes?
2,491,475.