What is the 828th prime number?
The 828th prime number is 6359. The next prime is 6361 (a gap of 2) and the one before is 6353.
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 828th one is 6359.
- 2
6359 is prime because no prime up to ā6359 ā 79.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 828th prime is close to 828 Ć ln(828) ā 5563, and here it is 6359.
- 4
6359 is a twin prime: 6359 and 6361 are both prime.
Primes around the 828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 825 | 6337 | 8 |
| 826 | 6343 | 6 |
| 827 | 6353 | 10 |
| 828 | 6359 | 6 |
| 829 | 6361 | 2 |
| 830 | 6367 | 6 |
| 831 | 6373 | 6 |
Questions
What is the 828th prime number?
6359.
Which prime number is 6359?
6359 is the 828th prime number.
What is the sum of the first 828 primes?
2,453,209.