What is the 6382nd prime number?
The 6382nd prime number is 63659. The next prime is 63667 (a gap of 8) and the one before is 63649.
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 6382nd one is 63659.
- 2
63659 is prime because no prime up to ā63659 ā 252.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6382nd prime is close to 6382 Ć ln(6382) ā 55914, and here it is 63659.
- 4
63659 has no twin: neither 63657 nor 63661 is prime.
Primes around the 6382nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6379 | 63629 | 12 |
| 6380 | 63647 | 18 |
| 6381 | 63649 | 2 |
| 6382 | 63659 | 10 |
| 6383 | 63667 | 8 |
| 6384 | 63671 | 4 |
| 6385 | 63689 | 18 |
Questions
What is the 6382nd prime number?
63659.
Which prime number is 63659?
63659 is the 6382nd prime number.
What is the sum of the first 6382 primes?
191,953,203.