What is the 6383rd prime number?
The 6383rd prime number is 63667. The next prime is 63671 (a gap of 4) and the one before is 63659.
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 6383rd one is 63667.
- 2
63667 is prime because no prime up to ā63667 ā 252.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6383rd prime is close to 6383 Ć ln(6383) ā 55924, and here it is 63667.
- 4
63667 has no twin: neither 63665 nor 63669 is prime.
Primes around the 6383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6380 | 63647 | 18 |
| 6381 | 63649 | 2 |
| 6382 | 63659 | 10 |
| 6383 | 63667 | 8 |
| 6384 | 63671 | 4 |
| 6385 | 63689 | 18 |
| 6386 | 63691 | 2 |
Questions
What is the 6383rd prime number?
63667.
Which prime number is 63667?
63667 is the 6383rd prime number.
What is the sum of the first 6383 primes?
192,016,870.