What is the 4829th prime number?
The 4829th prime number is 46727. The next prime is 46747 (a gap of 20) and the one before is 46723.
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 4829th one is 46727.
- 2
46727 is prime because no prime up to ā46727 ā 216.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4829th prime is close to 4829 Ć ln(4829) ā 40961, and here it is 46727.
- 4
46727 has no twin: neither 46725 nor 46729 is prime.
Primes around the 4829th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4826 | 46691 | 4 |
| 4827 | 46703 | 12 |
| 4828 | 46723 | 20 |
| 4829 | 46727 | 4 |
| 4830 | 46747 | 20 |
| 4831 | 46751 | 4 |
| 4832 | 46757 | 6 |
Questions
What is the 4829th prime number?
46727.
Which prime number is 46727?
46727 is the 4829th prime number.
What is the sum of the first 4829 primes?
106,300,962.