What is the 4917th prime number?
The 4917th prime number is 47701. The next prime is 47711 (a gap of 10) and the one before is 47699.
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 4917th one is 47701.
- 2
47701 is prime because no prime up to ā47701 ā 218.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4917th prime is close to 4917 Ć ln(4917) ā 41797, and here it is 47701.
- 4
47701 is a twin prime: 47699 and 47701 are both prime.
Primes around the 4917th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4914 | 47659 | 2 |
| 4915 | 47681 | 22 |
| 4916 | 47699 | 18 |
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
| 4920 | 47717 | 4 |
Questions
What is the 4917th prime number?
47701.
Which prime number is 47701?
47701 is the 4917th prime number.
What is the sum of the first 4917 primes?
110,458,024.