What is the 6443rd prime number?
The 6443rd prime number is 64373. The next prime is 64381 (a gap of 8) and the one before is 64333.
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 6443rd one is 64373.
- 2
64373 is prime because no prime up to ā64373 ā 253.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6443rd prime is close to 6443 Ć ln(6443) ā 56510, and here it is 64373.
- 4
64373 has no twin: neither 64371 nor 64375 is prime.
Primes around the 6443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6440 | 64319 | 16 |
| 6441 | 64327 | 8 |
| 6442 | 64333 | 6 |
| 6443 | 64373 | 40 |
| 6444 | 64381 | 8 |
| 6445 | 64399 | 18 |
| 6446 | 64403 | 4 |
Questions
What is the 6443rd prime number?
64373.
Which prime number is 64373?
64373 is the 6443rd prime number.
What is the sum of the first 6443 primes?
195,856,472.