What is the 6463rd prime number?
The 6463rd prime number is 64621. The next prime is 64627 (a gap of 6) and the one before is 64613.
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 6463rd one is 64621.
- 2
64621 is prime because no prime up to ā64621 ā 254.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6463rd prime is close to 6463 Ć ln(6463) ā 56705, and here it is 64621.
- 4
64621 has no twin: neither 64619 nor 64623 is prime.
Primes around the 6463rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6460 | 64601 | 10 |
| 6461 | 64609 | 8 |
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
| 6464 | 64627 | 6 |
| 6465 | 64633 | 6 |
| 6466 | 64661 | 28 |
Questions
What is the 6463rd prime number?
64621.
Which prime number is 64621?
64621 is the 6463rd prime number.
What is the sum of the first 6463 primes?
197,146,726.