What is the 6393rd prime number?
The 6393rd prime number is 63743. The next prime is 63761 (a gap of 18) and the one before is 63737.
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 6393rd one is 63743.
- 2
63743 is prime because no prime up to ā63743 ā 252.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6393rd prime is close to 6393 Ć ln(6393) ā 56022, and here it is 63743.
- 4
63743 has no twin: neither 63741 nor 63745 is prime.
Primes around the 6393rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6390 | 63719 | 10 |
| 6391 | 63727 | 8 |
| 6392 | 63737 | 10 |
| 6393 | 63743 | 6 |
| 6394 | 63761 | 18 |
| 6395 | 63773 | 12 |
| 6396 | 63781 | 8 |
Questions
What is the 6393rd prime number?
63743.
Which prime number is 63743?
63743 is the 6393rd prime number.
What is the sum of the first 6393 primes?
192,653,956.