What is the 4834th prime number?
The 4834th prime number is 46771. The next prime is 46807 (a gap of 36) and the one before is 46769.
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 4834th one is 46771.
- 2
46771 is prime because no prime up to ā46771 ā 216.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4834th prime is close to 4834 Ć ln(4834) ā 41009, and here it is 46771.
- 4
46771 is a twin prime: 46769 and 46771 are both prime.
Primes around the 4834th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
| 4835 | 46807 | 36 |
| 4836 | 46811 | 4 |
| 4837 | 46817 | 6 |
Questions
What is the 4834th prime number?
46771.
Which prime number is 46771?
46771 is the 4834th prime number.
What is the sum of the first 4834 primes?
106,534,757.