What is the 6345th prime number?
The 6345th prime number is 63331. The next prime is 63337 (a gap of 6) and the one before is 63317.
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 6345th one is 63331.
- 2
63331 is prime because no prime up to ā63331 ā 251.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6345th prime is close to 6345 Ć ln(6345) ā 55553, and here it is 63331.
- 4
63331 has no twin: neither 63329 nor 63333 is prime.
Primes around the 6345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6342 | 63311 | 12 |
| 6343 | 63313 | 2 |
| 6344 | 63317 | 4 |
| 6345 | 63331 | 14 |
| 6346 | 63337 | 6 |
| 6347 | 63347 | 10 |
| 6348 | 63353 | 6 |
Questions
What is the 6345th prime number?
63331.
Which prime number is 63331?
63331 is the 6345th prime number.
What is the sum of the first 6345 primes?
189,603,818.