What is the 4482nd prime number?
The 4482nd prime number is 42859. The next prime is 42863 (a gap of 4) and the one before is 42853.
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 4482nd one is 42859.
- 2
42859 is prime because no prime up to ā42859 ā 207.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4482nd prime is close to 4482 Ć ln(4482) ā 37684, and here it is 42859.
- 4
42859 has no twin: neither 42857 nor 42861 is prime.
Primes around the 4482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4479 | 42839 | 10 |
| 4480 | 42841 | 2 |
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
Questions
What is the 4482nd prime number?
42859.
Which prime number is 42859?
42859 is the 4482nd prime number.
What is the sum of the first 4482 primes?
90,747,013.