What is the 6442nd prime number?
The 6442nd prime number is 64333. The next prime is 64373 (a gap of 40) and the one before is 64327.
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 6442nd one is 64333.
- 2
64333 is prime because no prime up to ā64333 ā 253.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6442nd prime is close to 6442 Ć ln(6442) ā 56500, and here it is 64333.
- 4
64333 has no twin: neither 64331 nor 64335 is prime.
Primes around the 6442nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6439 | 64303 | 2 |
| 6440 | 64319 | 16 |
| 6441 | 64327 | 8 |
| 6442 | 64333 | 6 |
| 6443 | 64373 | 40 |
| 6444 | 64381 | 8 |
| 6445 | 64399 | 18 |
Questions
What is the 6442nd prime number?
64333.
Which prime number is 64333?
64333 is the 6442nd prime number.
What is the sum of the first 6442 primes?
195,792,099.