What is the 6366th prime number?
The 6366th prime number is 63521. The next prime is 63527 (a gap of 6) and the one before is 63499.
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 6366th one is 63521.
- 2
63521 is prime because no prime up to ā63521 ā 252.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6366th prime is close to 6366 Ć ln(6366) ā 55758, and here it is 63521.
- 4
63521 has no twin: neither 63519 nor 63523 is prime.
Primes around the 6366th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6363 | 63487 | 14 |
| 6364 | 63493 | 6 |
| 6365 | 63499 | 6 |
| 6366 | 63521 | 22 |
| 6367 | 63527 | 6 |
| 6368 | 63533 | 6 |
| 6369 | 63541 | 8 |
Questions
What is the 6366th prime number?
63521.
Which prime number is 63521?
63521 is the 6366th prime number.
What is the sum of the first 6366 primes?
190,935,671.