What is the 6445th prime number?
The 6445th prime number is 64399. The next prime is 64403 (a gap of 4) and the one before is 64381.
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 6445th one is 64399.
- 2
64399 is prime because no prime up to ā64399 ā 253.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6445th prime is close to 6445 Ć ln(6445) ā 56529, and here it is 64399.
- 4
64399 has no twin: neither 64397 nor 64401 is prime.
Primes around the 6445th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6442 | 64333 | 6 |
| 6443 | 64373 | 40 |
| 6444 | 64381 | 8 |
| 6445 | 64399 | 18 |
| 6446 | 64403 | 4 |
| 6447 | 64433 | 30 |
| 6448 | 64439 | 6 |
Questions
What is the 6445th prime number?
64399.
Which prime number is 64399?
64399 is the 6445th prime number.
What is the sum of the first 6445 primes?
195,985,252.