What is the 4748th prime number?
The 4748th prime number is 45833. The next prime is 45841 (a gap of 8) and the one before is 45827.
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 4748th one is 45833.
- 2
45833 is prime because no prime up to ā45833 ā 214.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4748th prime is close to 4748 Ć ln(4748) ā 40194, and here it is 45833.
- 4
45833 has no twin: neither 45831 nor 45835 is prime.
Primes around the 4748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4745 | 45821 | 4 |
| 4746 | 45823 | 2 |
| 4747 | 45827 | 4 |
| 4748 | 45833 | 6 |
| 4749 | 45841 | 8 |
| 4750 | 45853 | 12 |
| 4751 | 45863 | 10 |
Questions
What is the 4748th prime number?
45833.
Which prime number is 45833?
45833 is the 4748th prime number.
What is the sum of the first 4748 primes?
102,550,131.