What is the 6331st prime number?
The 6331st prime number is 63131. The next prime is 63149 (a gap of 18) and the one before is 63127.
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 6331st one is 63131.
- 2
63131 is prime because no prime up to ā63131 ā 251.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6331st prime is close to 6331 Ć ln(6331) ā 55417, and here it is 63131.
- 4
63131 has no twin: neither 63129 nor 63133 is prime.
Primes around the 6331st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6328 | 63103 | 6 |
| 6329 | 63113 | 10 |
| 6330 | 63127 | 14 |
| 6331 | 63131 | 4 |
| 6332 | 63149 | 18 |
| 6333 | 63179 | 30 |
| 6334 | 63197 | 18 |
Questions
What is the 6331st prime number?
63131.
Which prime number is 63131?
63131 is the 6331st prime number.
What is the sum of the first 6331 primes?
188,718,266.