What is the 6395th prime number?
The 6395th prime number is 63773. The next prime is 63781 (a gap of 8) and the one before is 63761.
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 6395th one is 63773.
- 2
63773 is prime because no prime up to ā63773 ā 252.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6395th prime is close to 6395 Ć ln(6395) ā 56041, and here it is 63773.
- 4
63773 has no twin: neither 63771 nor 63775 is prime.
Primes around the 6395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6392 | 63737 | 10 |
| 6393 | 63743 | 6 |
| 6394 | 63761 | 18 |
| 6395 | 63773 | 12 |
| 6396 | 63781 | 8 |
| 6397 | 63793 | 12 |
| 6398 | 63799 | 6 |
Questions
What is the 6395th prime number?
63773.
Which prime number is 63773?
63773 is the 6395th prime number.
What is the sum of the first 6395 primes?
192,781,490.