What is the 4791st prime number?
The 4791st prime number is 46327. The next prime is 46337 (a gap of 10) and the one before is 46309.
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 4791st one is 46327.
- 2
46327 is prime because no prime up to ā46327 ā 215.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4791st prime is close to 4791 Ć ln(4791) ā 40601, and here it is 46327.
- 4
46327 has no twin: neither 46325 nor 46329 is prime.
Primes around the 4791st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4788 | 46301 | 22 |
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
Questions
What is the 4791st prime number?
46327.
Which prime number is 46327?
46327 is the 4791st prime number.
What is the sum of the first 4791 primes?
104,532,256.