What is the 4479th prime number?
The 4479th prime number is 42839. The next prime is 42841 (a gap of 2) and the one before is 42829.
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 4479th one is 42839.
- 2
42839 is prime because no prime up to ā42839 ā 206.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4479th prime is close to 4479 Ć ln(4479) ā 37656, and here it is 42839.
- 4
42839 is a twin prime: 42839 and 42841 are both prime.
Primes around the 4479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
Questions
What is the 4479th prime number?
42839.
Which prime number is 42839?
42839 is the 4479th prime number.
What is the sum of the first 4479 primes?
90,618,460.