What is the 4793rd prime number?
The 4793rd prime number is 46349. The next prime is 46351 (a gap of 2) and the one before is 46337.
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 4793rd one is 46349.
- 2
46349 is prime because no prime up to ā46349 ā 215.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4793rd prime is close to 4793 Ć ln(4793) ā 40620, and here it is 46349.
- 4
46349 is a twin prime: 46349 and 46351 are both prime.
Primes around the 4793rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
| 4795 | 46381 | 30 |
| 4796 | 46399 | 18 |
Questions
What is the 4793rd prime number?
46349.
Which prime number is 46349?
46349 is the 4793rd prime number.
What is the sum of the first 4793 primes?
104,624,942.