What is the 4484th prime number?
The 4484th prime number is 42899. The next prime is 42901 (a gap of 2) and the one before is 42863.
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 4484th one is 42899.
- 2
42899 is prime because no prime up to ā42899 ā 207.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4484th prime is close to 4484 Ć ln(4484) ā 37703, and here it is 42899.
- 4
42899 is a twin prime: 42899 and 42901 are both prime.
Primes around the 4484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4481 | 42853 | 12 |
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
Questions
What is the 4484th prime number?
42899.
Which prime number is 42899?
42899 is the 4484th prime number.
What is the sum of the first 4484 primes?
90,832,775.