What is the 4798th prime number?
The 4798th prime number is 46439. The next prime is 46441 (a gap of 2) and the one before is 46411.
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 4798th one is 46439.
- 2
46439 is prime because no prime up to ā46439 ā 215.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4798th prime is close to 4798 Ć ln(4798) ā 40668, and here it is 46439.
- 4
46439 is a twin prime: 46439 and 46441 are both prime.
Primes around the 4798th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4795 | 46381 | 30 |
| 4796 | 46399 | 18 |
| 4797 | 46411 | 12 |
| 4798 | 46439 | 28 |
| 4799 | 46441 | 2 |
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
Questions
What is the 4798th prime number?
46439.
Which prime number is 46439?
46439 is the 4798th prime number.
What is the sum of the first 4798 primes?
104,856,923.