What is the 6397th prime number?
The 6397th prime number is 63793. The next prime is 63799 (a gap of 6) and the one before is 63781.
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 6397th one is 63793.
- 2
63793 is prime because no prime up to ā63793 ā 252.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6397th prime is close to 6397 Ć ln(6397) ā 56061, and here it is 63793.
- 4
63793 has no twin: neither 63791 nor 63795 is prime.
Primes around the 6397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6394 | 63761 | 18 |
| 6395 | 63773 | 12 |
| 6396 | 63781 | 8 |
| 6397 | 63793 | 12 |
| 6398 | 63799 | 6 |
| 6399 | 63803 | 4 |
| 6400 | 63809 | 6 |
Questions
What is the 6397th prime number?
63793.
Which prime number is 63793?
63793 is the 6397th prime number.
What is the sum of the first 6397 primes?
192,909,064.