What is the 4485th prime number?
The 4485th prime number is 42901. The next prime is 42923 (a gap of 22) and the one before is 42899.
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 4485th one is 42901.
- 2
42901 is prime because no prime up to ā42901 ā 207.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4485th prime is close to 4485 Ć ln(4485) ā 37712, and here it is 42901.
- 4
42901 is a twin prime: 42899 and 42901 are both prime.
Primes around the 4485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4482 | 42859 | 6 |
| 4483 | 42863 | 4 |
| 4484 | 42899 | 36 |
| 4485 | 42901 | 2 |
| 4486 | 42923 | 22 |
| 4487 | 42929 | 6 |
| 4488 | 42937 | 8 |
Questions
What is the 4485th prime number?
42901.
Which prime number is 42901?
42901 is the 4485th prime number.
What is the sum of the first 4485 primes?
90,875,676.