What is the 4480th prime number?
The 4480th prime number is 42841. The next prime is 42853 (a gap of 12) and the one before is 42839.
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 4480th one is 42841.
- 2
42841 is prime because no prime up to ā42841 ā 206.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4480th prime is close to 4480 Ć ln(4480) ā 37665, and here it is 42841.
- 4
42841 is a twin prime: 42839 and 42841 are both prime.
Primes around the 4480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4477 | 42821 | 24 |
| 4478 | 42829 | 8 |
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
Questions
What is the 4480th prime number?
42841.
Which prime number is 42841?
42841 is the 4480th prime number.
What is the sum of the first 4480 primes?
90,661,301.