What is the 6329th prime number?
The 6329th prime number is 63113. The next prime is 63127 (a gap of 14) and the one before is 63103.
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 6329th one is 63113.
- 2
63113 is prime because no prime up to ā63113 ā 251.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6329th prime is close to 6329 Ć ln(6329) ā 55397, and here it is 63113.
- 4
63113 has no twin: neither 63111 nor 63115 is prime.
Primes around the 6329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6326 | 63079 | 6 |
| 6327 | 63097 | 18 |
| 6328 | 63103 | 6 |
| 6329 | 63113 | 10 |
| 6330 | 63127 | 14 |
| 6331 | 63131 | 4 |
| 6332 | 63149 | 18 |
Questions
What is the 6329th prime number?
63113.
Which prime number is 63113?
63113 is the 6329th prime number.
What is the sum of the first 6329 primes?
188,592,008.