What is the 4828th prime number?
The 4828th prime number is 46723. The next prime is 46727 (a gap of 4) and the one before is 46703.
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 4828th one is 46723.
- 2
46723 is prime because no prime up to ā46723 ā 216.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4828th prime is close to 4828 Ć ln(4828) ā 40952, and here it is 46723.
- 4
46723 has no twin: neither 46721 nor 46725 is prime.
Primes around the 4828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
Questions
What is the 4828th prime number?
46723.
Which prime number is 46723?
46723 is the 4828th prime number.
What is the sum of the first 4828 primes?
106,254,235.