What is the 4792nd prime number?
The 4792nd prime number is 46337. The next prime is 46349 (a gap of 12) and the one before is 46327.
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 4792nd one is 46337.
- 2
46337 is prime because no prime up to ā46337 ā 215.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4792nd prime is close to 4792 Ć ln(4792) ā 40611, and here it is 46337.
- 4
46337 has no twin: neither 46335 nor 46339 is prime.
Primes around the 4792nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4789 | 46307 | 6 |
| 4790 | 46309 | 2 |
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
| 4795 | 46381 | 30 |
Questions
What is the 4792nd prime number?
46337.
Which prime number is 46337?
46337 is the 4792nd prime number.
What is the sum of the first 4792 primes?
104,578,593.