What is the 6337th prime number?
The 6337th prime number is 63241. The next prime is 63247 (a gap of 6) and the one before is 63211.
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 6337th one is 63241.
- 2
63241 is prime because no prime up to ā63241 ā 251.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6337th prime is close to 6337 Ć ln(6337) ā 55475, and here it is 63241.
- 4
63241 has no twin: neither 63239 nor 63243 is prime.
Primes around the 6337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6334 | 63197 | 18 |
| 6335 | 63199 | 2 |
| 6336 | 63211 | 12 |
| 6337 | 63241 | 30 |
| 6338 | 63247 | 6 |
| 6339 | 63277 | 30 |
| 6340 | 63281 | 4 |
Questions
What is the 6337th prime number?
63241.
Which prime number is 63241?
63241 is the 6337th prime number.
What is the sum of the first 6337 primes?
189,097,442.