What is the 6389th prime number?
The 6389th prime number is 63709. The next prime is 63719 (a gap of 10) and the one before is 63703.
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 6389th one is 63709.
- 2
63709 is prime because no prime up to ā63709 ā 252.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6389th prime is close to 6389 Ć ln(6389) ā 55983, and here it is 63709.
- 4
63709 has no twin: neither 63707 nor 63711 is prime.
Primes around the 6389th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6386 | 63691 | 2 |
| 6387 | 63697 | 6 |
| 6388 | 63703 | 6 |
| 6389 | 63709 | 6 |
| 6390 | 63719 | 10 |
| 6391 | 63727 | 8 |
| 6392 | 63737 | 10 |
Questions
What is the 6389th prime number?
63709.
Which prime number is 63709?
63709 is the 6389th prime number.
What is the sum of the first 6389 primes?
192,399,030.