What is the 4449th prime number?
The 4449th prime number is 42533. The next prime is 42557 (a gap of 24) and the one before is 42509.
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 4449th one is 42533.
- 2
42533 is prime because no prime up to ā42533 ā 206.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4449th prime is close to 4449 Ć ln(4449) ā 37374, and here it is 42533.
- 4
42533 has no twin: neither 42531 nor 42535 is prime.
Primes around the 4449th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4446 | 42491 | 4 |
| 4447 | 42499 | 8 |
| 4448 | 42509 | 10 |
| 4449 | 42533 | 24 |
| 4450 | 42557 | 24 |
| 4451 | 42569 | 12 |
| 4452 | 42571 | 2 |
Questions
What is the 4449th prime number?
42533.
Which prime number is 42533?
42533 is the 4449th prime number.
What is the sum of the first 4449 primes?
89,337,444.