What is the 4443rd prime number?
The 4443rd prime number is 42467. The next prime is 42473 (a gap of 6) and the one before is 42463.
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 4443rd one is 42467.
- 2
42467 is prime because no prime up to ā42467 ā 206.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4443rd prime is close to 4443 Ć ln(4443) ā 37317, and here it is 42467.
- 4
42467 has no twin: neither 42465 nor 42469 is prime.
Primes around the 4443rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4440 | 42457 | 6 |
| 4441 | 42461 | 4 |
| 4442 | 42463 | 2 |
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
Questions
What is the 4443rd prime number?
42467.
Which prime number is 42467?
42467 is the 4443rd prime number.
What is the sum of the first 4443 primes?
89,082,452.