What is the 4567th prime number?
The 4567th prime number is 43889. The next prime is 43891 (a gap of 2) and the one before is 43867.
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 4567th one is 43889.
- 2
43889 is prime because no prime up to ā43889 ā 209.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4567th prime is close to 4567 Ć ln(4567) ā 38484, and here it is 43889.
- 4
43889 is a twin prime: 43889 and 43891 are both prime.
Primes around the 4567th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
| 4567 | 43889 | 22 |
| 4568 | 43891 | 2 |
| 4569 | 43913 | 22 |
| 4570 | 43933 | 20 |
Questions
What is the 4567th prime number?
43889.
Which prime number is 43889?
43889 is the 4567th prime number.
What is the sum of the first 4567 primes?
94,433,892.