What is the 829th prime number?
The 829th prime number is 6361. The next prime is 6367 (a gap of 6) and the one before is 6359.
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 829th one is 6361.
- 2
6361 is prime because no prime up to ā6361 ā 79.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 829th prime is close to 829 Ć ln(829) ā 5571, and here it is 6361.
- 4
6361 is a twin prime: 6359 and 6361 are both prime.
Primes around the 829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 826 | 6343 | 6 |
| 827 | 6353 | 10 |
| 828 | 6359 | 6 |
| 829 | 6361 | 2 |
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
| 832 | 6379 | 6 |
Questions
What is the 829th prime number?
6361.
Which prime number is 6361?
6361 is the 829th prime number.
What is the sum of the first 829 primes?
2,459,570.