What is the 6440th prime number?
The 6440th prime number is 64319. The next prime is 64327 (a gap of 8) and the one before is 64303.
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 6440th one is 64319.
- 2
64319 is prime because no prime up to ā64319 ā 253.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6440th prime is close to 6440 Ć ln(6440) ā 56481, and here it is 64319.
- 4
64319 has no twin: neither 64317 nor 64321 is prime.
Primes around the 6440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6437 | 64283 | 4 |
| 6438 | 64301 | 18 |
| 6439 | 64303 | 2 |
| 6440 | 64319 | 16 |
| 6441 | 64327 | 8 |
| 6442 | 64333 | 6 |
| 6443 | 64373 | 40 |
Questions
What is the 6440th prime number?
64319.
Which prime number is 64319?
64319 is the 6440th prime number.
What is the sum of the first 6440 primes?
195,663,439.