What is the 4568th prime number?
The 4568th prime number is 43891. The next prime is 43913 (a gap of 22) and the one before is 43889.
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 4568th one is 43891.
- 2
43891 is prime because no prime up to ā43891 ā 209.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4568th prime is close to 4568 Ć ln(4568) ā 38494, and here it is 43891.
- 4
43891 is a twin prime: 43889 and 43891 are both prime.
Primes around the 4568th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
| 4567 | 43889 | 22 |
| 4568 | 43891 | 2 |
| 4569 | 43913 | 22 |
| 4570 | 43933 | 20 |
| 4571 | 43943 | 10 |
Questions
What is the 4568th prime number?
43891.
Which prime number is 43891?
43891 is the 4568th prime number.
What is the sum of the first 4568 primes?
94,477,783.