What is the 4833rd prime number?
The 4833rd prime number is 46769. The next prime is 46771 (a gap of 2) and the one before is 46757.
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 4833rd one is 46769.
- 2
46769 is prime because no prime up to ā46769 ā 216.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4833rd prime is close to 4833 Ć ln(4833) ā 40999, and here it is 46769.
- 4
46769 is a twin prime: 46769 and 46771 are both prime.
Primes around the 4833rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
Questions
What is the 4833rd prime number?
46769.
Which prime number is 46769?
46769 is the 4833rd prime number.
What is the sum of the first 4833 primes?
106,487,986.