What is the 6391st prime number?
The 6391st prime number is 63727. The next prime is 63737 (a gap of 10) and the one before is 63719.
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 6391st one is 63727.
- 2
63727 is prime because no prime up to ā63727 ā 252.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6391st prime is close to 6391 Ć ln(6391) ā 56002, and here it is 63727.
- 4
63727 has no twin: neither 63725 nor 63729 is prime.
Primes around the 6391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6388 | 63703 | 6 |
| 6389 | 63709 | 6 |
| 6390 | 63719 | 10 |
| 6391 | 63727 | 8 |
| 6392 | 63737 | 10 |
| 6393 | 63743 | 6 |
| 6394 | 63761 | 18 |
Questions
What is the 6391st prime number?
63727.
Which prime number is 63727?
63727 is the 6391st prime number.
What is the sum of the first 6391 primes?
192,526,476.