What is the 4916th prime number?
The 4916th prime number is 47699. The next prime is 47701 (a gap of 2) and the one before is 47681.
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 4916th one is 47699.
- 2
47699 is prime because no prime up to ā47699 ā 218.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4916th prime is close to 4916 Ć ln(4916) ā 41787, and here it is 47699.
- 4
47699 is a twin prime: 47699 and 47701 are both prime.
Primes around the 4916th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4913 | 47657 | 4 |
| 4914 | 47659 | 2 |
| 4915 | 47681 | 22 |
| 4916 | 47699 | 18 |
| 4917 | 47701 | 2 |
| 4918 | 47711 | 10 |
| 4919 | 47713 | 2 |
Questions
What is the 4916th prime number?
47699.
Which prime number is 47699?
47699 is the 4916th prime number.
What is the sum of the first 4916 primes?
110,410,323.