What is the 6335th prime number?
The 6335th prime number is 63199. The next prime is 63211 (a gap of 12) and the one before is 63197.
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 6335th one is 63199.
- 2
63199 is prime because no prime up to ā63199 ā 251.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6335th prime is close to 6335 Ć ln(6335) ā 55456, and here it is 63199.
- 4
63199 is a twin prime: 63197 and 63199 are both prime.
Primes around the 6335th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6332 | 63149 | 18 |
| 6333 | 63179 | 30 |
| 6334 | 63197 | 18 |
| 6335 | 63199 | 2 |
| 6336 | 63211 | 12 |
| 6337 | 63241 | 30 |
| 6338 | 63247 | 6 |
Questions
What is the 6335th prime number?
63199.
Which prime number is 63199?
63199 is the 6335th prime number.
What is the sum of the first 6335 primes?
188,970,990.