What is the 6333rd prime number?
The 6333rd prime number is 63179. The next prime is 63197 (a gap of 18) and the one before is 63149.
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 6333rd one is 63179.
- 2
63179 is prime because no prime up to ā63179 ā 251.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6333rd prime is close to 6333 Ć ln(6333) ā 55436, and here it is 63179.
- 4
63179 has no twin: neither 63177 nor 63181 is prime.
Primes around the 6333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6330 | 63127 | 14 |
| 6331 | 63131 | 4 |
| 6332 | 63149 | 18 |
| 6333 | 63179 | 30 |
| 6334 | 63197 | 18 |
| 6335 | 63199 | 2 |
| 6336 | 63211 | 12 |
Questions
What is the 6333rd prime number?
63179.
Which prime number is 63179?
63179 is the 6333rd prime number.
What is the sum of the first 6333 primes?
188,844,594.