What is the 4790th prime number?
The 4790th prime number is 46309. The next prime is 46327 (a gap of 18) and the one before is 46307.
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 4790th one is 46309.
- 2
46309 is prime because no prime up to ā46309 ā 215.20 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4790th prime is close to 4790 Ć ln(4790) ā 40592, and here it is 46309.
- 4
46309 is a twin prime: 46307 and 46309 are both prime.
Primes around the 4790th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
Questions
What is the 4790th prime number?
46309.
Which prime number is 46309?
46309 is the 4790th prime number.
What is the sum of the first 4790 primes?
104,485,929.