What is the 4795th prime number?
The 4795th prime number is 46381. The next prime is 46399 (a gap of 18) and the one before is 46351.
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 4795th one is 46381.
- 2
46381 is prime because no prime up to ā46381 ā 215.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4795th prime is close to 4795 Ć ln(4795) ā 40639, and here it is 46381.
- 4
46381 has no twin: neither 46379 nor 46383 is prime.
Primes around the 4795th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4792 | 46337 | 10 |
| 4793 | 46349 | 12 |
| 4794 | 46351 | 2 |
| 4795 | 46381 | 30 |
| 4796 | 46399 | 18 |
| 4797 | 46411 | 12 |
| 4798 | 46439 | 28 |
Questions
What is the 4795th prime number?
46381.
Which prime number is 46381?
46381 is the 4795th prime number.
What is the sum of the first 4795 primes?
104,717,674.