What is the 826th prime number?
The 826th prime number is 6343. The next prime is 6353 (a gap of 10) and the one before is 6337.
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 826th one is 6343.
- 2
6343 is prime because no prime up to ā6343 ā 79.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 826th prime is close to 826 Ć ln(826) ā 5548, and here it is 6343.
- 4
6343 has no twin: neither 6341 nor 6345 is prime.
Primes around the 826th
| Position | Prime | Gap from the previous |
|---|---|---|
| 823 | 6323 | 6 |
| 824 | 6329 | 6 |
| 825 | 6337 | 8 |
| 826 | 6343 | 6 |
| 827 | 6353 | 10 |
| 828 | 6359 | 6 |
| 829 | 6361 | 2 |
Questions
What is the 826th prime number?
6343.
Which prime number is 6343?
6343 is the 826th prime number.
What is the sum of the first 826 primes?
2,440,497.