What is the 6461st prime number?
The 6461st prime number is 64609. The next prime is 64613 (a gap of 4) and the one before is 64601.
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 6461st one is 64609.
- 2
64609 is prime because no prime up to ā64609 ā 254.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6461st prime is close to 6461 Ć ln(6461) ā 56686, and here it is 64609.
- 4
64609 has no twin: neither 64607 nor 64611 is prime.
Primes around the 6461st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6458 | 64579 | 2 |
| 6459 | 64591 | 12 |
| 6460 | 64601 | 10 |
| 6461 | 64609 | 8 |
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
| 6464 | 64627 | 6 |
Questions
What is the 6461st prime number?
64609.
Which prime number is 64609?
64609 is the 6461st prime number.
What is the sum of the first 6461 primes?
197,017,492.