What is the 4919th prime number?
The 4919th prime number is 47713. The next prime is 47717 (a gap of 4) and the one before is 47711.
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 4919th one is 47713.
- 2
47713 is prime because no prime up to ā47713 ā 218.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4919th prime is close to 4919 Ć ln(4919) ā 41816, and here it is 47713.
- 4
47713 is a twin prime: 47711 and 47713 are both prime.
Primes around the 4919th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4916 | 47699 | 18 |
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
| 4922 | 47741 | 4 |
Questions
What is the 4919th prime number?
47713.
Which prime number is 47713?
47713 is the 4919th prime number.
What is the sum of the first 4919 primes?
110,553,448.