What is the 824th prime number?
The 824th prime number is 6329. The next prime is 6337 (a gap of 8) and the one before is 6323.
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 824th one is 6329.
- 2
6329 is prime because no prime up to ā6329 ā 79.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 824th prime is close to 824 Ć ln(824) ā 5532, and here it is 6329.
- 4
6329 has no twin: neither 6327 nor 6331 is prime.
Primes around the 824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 821 | 6311 | 10 |
| 822 | 6317 | 6 |
| 823 | 6323 | 6 |
| 824 | 6329 | 6 |
| 825 | 6337 | 8 |
| 826 | 6343 | 6 |
| 827 | 6353 | 10 |
Questions
What is the 824th prime number?
6329.
Which prime number is 6329?
6329 is the 824th prime number.
What is the sum of the first 824 primes?
2,427,817.