What is the 4789th prime number?
The 4789th prime number is 46307. The next prime is 46309 (a gap of 2) and the one before is 46301.
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 4789th one is 46307.
- 2
46307 is prime because no prime up to ā46307 ā 215.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4789th prime is close to 4789 Ć ln(4789) ā 40582, and here it is 46307.
- 4
46307 is a twin prime: 46307 and 46309 are both prime.
Primes around the 4789th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4786 | 46273 | 2 |
| 4787 | 46279 | 6 |
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
Questions
What is the 4789th prime number?
46307.
Which prime number is 46307?
46307 is the 4789th prime number.
What is the sum of the first 4789 primes?
104,439,620.