What is the 4830th prime number?
The 4830th prime number is 46747. The next prime is 46751 (a gap of 4) and the one before is 46727.
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 4830th one is 46747.
- 2
46747 is prime because no prime up to ā46747 ā 216.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4830th prime is close to 4830 Ć ln(4830) ā 40971, and here it is 46747.
- 4
46747 has no twin: neither 46745 nor 46749 is prime.
Primes around the 4830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
| 4833 | 46769 | 12 |
Questions
What is the 4830th prime number?
46747.
Which prime number is 46747?
46747 is the 4830th prime number.
What is the sum of the first 4830 primes?
106,347,709.