What is the 4745th prime number?
The 4745th prime number is 45821. The next prime is 45823 (a gap of 2) and the one before is 45817.
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 4745th one is 45821.
- 2
45821 is prime because no prime up to ā45821 ā 214.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4745th prime is close to 4745 Ć ln(4745) ā 40166, and here it is 45821.
- 4
45821 is a twin prime: 45821 and 45823 are both prime.
Primes around the 4745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4742 | 45767 | 4 |
| 4743 | 45779 | 12 |
| 4744 | 45817 | 38 |
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
Questions
What is the 4745th prime number?
45821.
Which prime number is 45821?
45821 is the 4745th prime number.
What is the sum of the first 4745 primes?
102,412,648.