What is the 4823rd prime number?
The 4823rd prime number is 46679. The next prime is 46681 (a gap of 2) and the one before is 46663.
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 4823rd one is 46679.
- 2
46679 is prime because no prime up to ā46679 ā 216.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4823rd prime is close to 4823 Ć ln(4823) ā 40905, and here it is 46679.
- 4
46679 is a twin prime: 46679 and 46681 are both prime.
Primes around the 4823rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4820 | 46643 | 4 |
| 4821 | 46649 | 6 |
| 4822 | 46663 | 14 |
| 4823 | 46679 | 16 |
| 4824 | 46681 | 2 |
| 4825 | 46687 | 6 |
| 4826 | 46691 | 4 |
Questions
What is the 4823rd prime number?
46679.
Which prime number is 46679?
46679 is the 4823rd prime number.
What is the sum of the first 4823 primes?
106,020,750.