What is the 4799th prime number?
The 4799th prime number is 46441. The next prime is 46447 (a gap of 6) and the one before is 46439.
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 4799th one is 46441.
- 2
46441 is prime because no prime up to ā46441 ā 215.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4799th prime is close to 4799 Ć ln(4799) ā 40677, and here it is 46441.
- 4
46441 is a twin prime: 46439 and 46441 are both prime.
Primes around the 4799th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4796 | 46399 | 18 |
| 4797 | 46411 | 12 |
| 4798 | 46439 | 28 |
| 4799 | 46441 | 2 |
| 4800 | 46447 | 6 |
| 4801 | 46451 | 4 |
| 4802 | 46457 | 6 |
Questions
What is the 4799th prime number?
46441.
Which prime number is 46441?
46441 is the 4799th prime number.
What is the sum of the first 4799 primes?
104,903,364.