What is the 6367th prime number?
The 6367th prime number is 63527. The next prime is 63533 (a gap of 6) and the one before is 63521.
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 6367th one is 63527.
- 2
63527 is prime because no prime up to ā63527 ā 252.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6367th prime is close to 6367 Ć ln(6367) ā 55768, and here it is 63527.
- 4
63527 has no twin: neither 63525 nor 63529 is prime.
Primes around the 6367th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6364 | 63493 | 6 |
| 6365 | 63499 | 6 |
| 6366 | 63521 | 22 |
| 6367 | 63527 | 6 |
| 6368 | 63533 | 6 |
| 6369 | 63541 | 8 |
| 6370 | 63559 | 18 |
Questions
What is the 6367th prime number?
63527.
Which prime number is 63527?
63527 is the 6367th prime number.
What is the sum of the first 6367 primes?
190,999,198.