What is the 831st prime number?
The 831st prime number is 6373. The next prime is 6379 (a gap of 6) and the one before is 6367.
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 831st one is 6373.
- 2
6373 is prime because no prime up to ā6373 ā 79.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 831st prime is close to 831 Ć ln(831) ā 5587, and here it is 6373.
- 4
6373 has no twin: neither 6371 nor 6375 is prime.
Primes around the 831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 828 | 6359 | 6 |
| 829 | 6361 | 2 |
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
| 833 | 6389 | 10 |
| 834 | 6397 | 8 |
Questions
What is the 831st prime number?
6373.
Which prime number is 6373?
6373 is the 831st prime number.
What is the sum of the first 831 primes?
2,472,310.