What is the 4794th prime number?
The 4794th prime number is 46351. The next prime is 46381 (a gap of 30) and the one before is 46349.
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 4794th one is 46351.
- 2
46351 is prime because no prime up to ā46351 ā 215.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4794th prime is close to 4794 Ć ln(4794) ā 40630, and here it is 46351.
- 4
46351 is a twin prime: 46349 and 46351 are both prime.
Primes around the 4794th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4791 | 46327 | 18 |
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
| 4795 | 46381 | 30 |
| 4796 | 46399 | 18 |
| 4797 | 46411 | 12 |
Questions
What is the 4794th prime number?
46351.
Which prime number is 46351?
46351 is the 4794th prime number.
What is the sum of the first 4794 primes?
104,671,293.