What is the 4913th prime number?
The 4913th prime number is 47657. The next prime is 47659 (a gap of 2) and the one before is 47653.
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 4913th one is 47657.
- 2
47657 is prime because no prime up to ā47657 ā 218.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4913th prime is close to 4913 Ć ln(4913) ā 41759, and here it is 47657.
- 4
47657 is a twin prime: 47657 and 47659 are both prime.
Primes around the 4913th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4910 | 47629 | 6 |
| 4911 | 47639 | 10 |
| 4912 | 47653 | 14 |
| 4913 | 47657 | 4 |
| 4914 | 47659 | 2 |
| 4915 | 47681 | 22 |
| 4916 | 47699 | 18 |
Questions
What is the 4913th prime number?
47657.
Which prime number is 47657?
47657 is the 4913th prime number.
What is the sum of the first 4913 primes?
110,267,284.