What is the 4446th prime number?
The 4446th prime number is 42491. The next prime is 42499 (a gap of 8) and the one before is 42487.
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 4446th one is 42491.
- 2
42491 is prime because no prime up to ā42491 ā 206.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4446th prime is close to 4446 Ć ln(4446) ā 37345, and here it is 42491.
- 4
42491 has no twin: neither 42489 nor 42493 is prime.
Primes around the 4446th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4443 | 42467 | 4 |
| 4444 | 42473 | 6 |
| 4445 | 42487 | 14 |
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
Questions
What is the 4446th prime number?
42491.
Which prime number is 42491?
42491 is the 4446th prime number.
What is the sum of the first 4446 primes?
89,209,903.