What is the 832nd prime number?
The 832nd prime number is 6379. The next prime is 6389 (a gap of 10) and the one before is 6373.
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 832nd one is 6379.
- 2
6379 is prime because no prime up to ā6379 ā 79.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 832nd prime is close to 832 Ć ln(832) ā 5594, and here it is 6379.
- 4
6379 has no twin: neither 6377 nor 6381 is prime.
Primes around the 832nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 829 | 6361 | 2 |
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
| 835 | 6421 | 24 |
Questions
What is the 832nd prime number?
6379.
Which prime number is 6379?
6379 is the 832nd prime number.
What is the sum of the first 832 primes?
2,478,689.