What is the 4831st prime number?
The 4831st prime number is 46751. The next prime is 46757 (a gap of 6) and the one before is 46747.
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 4831st one is 46751.
- 2
46751 is prime because no prime up to ā46751 ā 216.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4831st prime is close to 4831 Ć ln(4831) ā 40980, and here it is 46751.
- 4
46751 has no twin: neither 46749 nor 46753 is prime.
Primes around the 4831st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
| 4834 | 46771 | 2 |
Questions
What is the 4831st prime number?
46751.
Which prime number is 46751?
46751 is the 4831st prime number.
What is the sum of the first 4831 primes?
106,394,460.