What is the 6392nd prime number?
The 6392nd prime number is 63737. The next prime is 63743 (a gap of 6) and the one before is 63727.
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 6392nd one is 63737.
- 2
63737 is prime because no prime up to ā63737 ā 252.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6392nd prime is close to 6392 Ć ln(6392) ā 56012, and here it is 63737.
- 4
63737 has no twin: neither 63735 nor 63739 is prime.
Primes around the 6392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6389 | 63709 | 6 |
| 6390 | 63719 | 10 |
| 6391 | 63727 | 8 |
| 6392 | 63737 | 10 |
| 6393 | 63743 | 6 |
| 6394 | 63761 | 18 |
| 6395 | 63773 | 12 |
Questions
What is the 6392nd prime number?
63737.
Which prime number is 63737?
63737 is the 6392nd prime number.
What is the sum of the first 6392 primes?
192,590,213.