What is the 6344th prime number?
The 6344th prime number is 63317. The next prime is 63331 (a gap of 14) and the one before is 63313.
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 6344th one is 63317.
- 2
63317 is prime because no prime up to ā63317 ā 251.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6344th prime is close to 6344 Ć ln(6344) ā 55543, and here it is 63317.
- 4
63317 has no twin: neither 63315 nor 63319 is prime.
Primes around the 6344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6341 | 63299 | 18 |
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
| 6345 | 63331 | 14 |
| 6346 | 63337 | 6 |
| 6347 | 63347 | 10 |
Questions
What is the 6344th prime number?
63317.
Which prime number is 63317?
63317 is the 6344th prime number.
What is the sum of the first 6344 primes?
189,540,487.