What is the 6390th prime number?
The 6390th prime number is 63719. The next prime is 63727 (a gap of 8) and the one before is 63709.
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 6390th one is 63719.
- 2
63719 is prime because no prime up to ā63719 ā 252.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6390th prime is close to 6390 Ć ln(6390) ā 55992, and here it is 63719.
- 4
63719 has no twin: neither 63717 nor 63721 is prime.
Primes around the 6390th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6387 | 63697 | 6 |
| 6388 | 63703 | 6 |
| 6389 | 63709 | 6 |
| 6390 | 63719 | 10 |
| 6391 | 63727 | 8 |
| 6392 | 63737 | 10 |
| 6393 | 63743 | 6 |
Questions
What is the 6390th prime number?
63719.
Which prime number is 63719?
63719 is the 6390th prime number.
What is the sum of the first 6390 primes?
192,462,749.