What is the 6462nd prime number?
The 6462nd prime number is 64613. The next prime is 64621 (a gap of 8) and the one before is 64609.
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 6462nd one is 64613.
- 2
64613 is prime because no prime up to ā64613 ā 254.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6462nd prime is close to 6462 Ć ln(6462) ā 56696, and here it is 64613.
- 4
64613 has no twin: neither 64611 nor 64615 is prime.
Primes around the 6462nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6459 | 64591 | 12 |
| 6460 | 64601 | 10 |
| 6461 | 64609 | 8 |
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
| 6464 | 64627 | 6 |
| 6465 | 64633 | 6 |
Questions
What is the 6462nd prime number?
64613.
Which prime number is 64613?
64613 is the 6462nd prime number.
What is the sum of the first 6462 primes?
197,082,105.