What is the 6467th prime number?
The 6467th prime number is 64663. The next prime is 64667 (a gap of 4) and the one before is 64661.
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 6467th one is 64663.
- 2
64663 is prime because no prime up to ā64663 ā 254.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6467th prime is close to 6467 Ć ln(6467) ā 56744, and here it is 64663.
- 4
64663 is a twin prime: 64661 and 64663 are both prime.
Primes around the 6467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6464 | 64627 | 6 |
| 6465 | 64633 | 6 |
| 6466 | 64661 | 28 |
| 6467 | 64663 | 2 |
| 6468 | 64667 | 4 |
| 6469 | 64679 | 12 |
| 6470 | 64693 | 14 |
Questions
What is the 6467th prime number?
64663.
Which prime number is 64663?
64663 is the 6467th prime number.
What is the sum of the first 6467 primes?
197,405,310.