What is the 6384th prime number?
The 6384th prime number is 63671. The next prime is 63689 (a gap of 18) and the one before is 63667.
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 6384th one is 63671.
- 2
63671 is prime because no prime up to ā63671 ā 252.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6384th prime is close to 6384 Ć ln(6384) ā 55934, and here it is 63671.
- 4
63671 has no twin: neither 63669 nor 63673 is prime.
Primes around the 6384th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6381 | 63649 | 2 |
| 6382 | 63659 | 10 |
| 6383 | 63667 | 8 |
| 6384 | 63671 | 4 |
| 6385 | 63689 | 18 |
| 6386 | 63691 | 2 |
| 6387 | 63697 | 6 |
Questions
What is the 6384th prime number?
63671.
Which prime number is 63671?
63671 is the 6384th prime number.
What is the sum of the first 6384 primes?
192,080,541.