What is the 6464th prime number?
The 6464th prime number is 64627. The next prime is 64633 (a gap of 6) and the one before is 64621.
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 6464th one is 64627.
- 2
64627 is prime because no prime up to ā64627 ā 254.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6464th prime is close to 6464 Ć ln(6464) ā 56715, and here it is 64627.
- 4
64627 has no twin: neither 64625 nor 64629 is prime.
Primes around the 6464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6461 | 64609 | 8 |
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
| 6464 | 64627 | 6 |
| 6465 | 64633 | 6 |
| 6466 | 64661 | 28 |
| 6467 | 64663 | 2 |
Questions
What is the 6464th prime number?
64627.
Which prime number is 64627?
64627 is the 6464th prime number.
What is the sum of the first 6464 primes?
197,211,353.