What is the 6332nd prime number?
The 6332nd prime number is 63149. The next prime is 63179 (a gap of 30) and the one before is 63131.
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 6332nd one is 63149.
- 2
63149 is prime because no prime up to ā63149 ā 251.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6332nd prime is close to 6332 Ć ln(6332) ā 55426, and here it is 63149.
- 4
63149 has no twin: neither 63147 nor 63151 is prime.
Primes around the 6332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6329 | 63113 | 10 |
| 6330 | 63127 | 14 |
| 6331 | 63131 | 4 |
| 6332 | 63149 | 18 |
| 6333 | 63179 | 30 |
| 6334 | 63197 | 18 |
| 6335 | 63199 | 2 |
Questions
What is the 6332nd prime number?
63149.
Which prime number is 63149?
63149 is the 6332nd prime number.
What is the sum of the first 6332 primes?
188,781,415.