What is the 4824th prime number?
The 4824th prime number is 46681. The next prime is 46687 (a gap of 6) and the one before is 46679.
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 4824th one is 46681.
- 2
46681 is prime because no prime up to ā46681 ā 216.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4824th prime is close to 4824 Ć ln(4824) ā 40914, and here it is 46681.
- 4
46681 is a twin prime: 46679 and 46681 are both prime.
Primes around the 4824th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4821 | 46649 | 6 |
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
Questions
What is the 4824th prime number?
46681.
Which prime number is 46681?
46681 is the 4824th prime number.
What is the sum of the first 4824 primes?
106,067,431.