What is the 4918th prime number?
The 4918th prime number is 47711. The next prime is 47713 (a gap of 2) and the one before is 47701.
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 4918th one is 47711.
- 2
47711 is prime because no prime up to ā47711 ā 218.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4918th prime is close to 4918 Ć ln(4918) ā 41806, and here it is 47711.
- 4
47711 is a twin prime: 47711 and 47713 are both prime.
Primes around the 4918th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4915 | 47681 | 22 |
| 4916 | 47699 | 18 |
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
| 4921 | 47737 | 20 |
Questions
What is the 4918th prime number?
47711.
Which prime number is 47711?
47711 is the 4918th prime number.
What is the sum of the first 4918 primes?
110,505,735.