What is the 6341st prime number?
The 6341st prime number is 63299. The next prime is 63311 (a gap of 12) and the one before is 63281.
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 6341st one is 63299.
- 2
63299 is prime because no prime up to ā63299 ā 251.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6341st prime is close to 6341 Ć ln(6341) ā 55514, and here it is 63299.
- 4
63299 has no twin: neither 63297 nor 63301 is prime.
Primes around the 6341st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6338 | 63247 | 6 |
| 6339 | 63277 | 30 |
| 6340 | 63281 | 4 |
| 6341 | 63299 | 18 |
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
Questions
What is the 6341st prime number?
63299.
Which prime number is 63299?
63299 is the 6341st prime number.
What is the sum of the first 6341 primes?
189,350,546.