What is the 6465th prime number?
The 6465th prime number is 64633. The next prime is 64661 (a gap of 28) and the one before is 64627.
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 6465th one is 64633.
- 2
64633 is prime because no prime up to ā64633 ā 254.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6465th prime is close to 6465 Ć ln(6465) ā 56725, and here it is 64633.
- 4
64633 has no twin: neither 64631 nor 64635 is prime.
Primes around the 6465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
| 6464 | 64627 | 6 |
| 6465 | 64633 | 6 |
| 6466 | 64661 | 28 |
| 6467 | 64663 | 2 |
| 6468 | 64667 | 4 |
Questions
What is the 6465th prime number?
64633.
Which prime number is 64633?
64633 is the 6465th prime number.
What is the sum of the first 6465 primes?
197,275,986.