What is the 6460th prime number?
The 6460th prime number is 64601. The next prime is 64609 (a gap of 8) and the one before is 64591.
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 6460th one is 64601.
- 2
64601 is prime because no prime up to ā64601 ā 254.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6460th prime is close to 6460 Ć ln(6460) ā 56676, and here it is 64601.
- 4
64601 has no twin: neither 64599 nor 64603 is prime.
Primes around the 6460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6457 | 64577 | 10 |
| 6458 | 64579 | 2 |
| 6459 | 64591 | 12 |
| 6460 | 64601 | 10 |
| 6461 | 64609 | 8 |
| 6462 | 64613 | 4 |
| 6463 | 64621 | 8 |
Questions
What is the 6460th prime number?
64601.
Which prime number is 64601?
64601 is the 6460th prime number.
What is the sum of the first 6460 primes?
196,952,883.