What is the 4566th prime number?
The 4566th prime number is 43867. The next prime is 43889 (a gap of 22) and the one before is 43853.
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 4566th one is 43867.
- 2
43867 is prime because no prime up to ā43867 ā 209.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4566th prime is close to 4566 Ć ln(4566) ā 38475, and here it is 43867.
- 4
43867 has no twin: neither 43865 nor 43869 is prime.
Primes around the 4566th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
| 4567 | 43889 | 22 |
| 4568 | 43891 | 2 |
| 4569 | 43913 | 22 |
Questions
What is the 4566th prime number?
43867.
Which prime number is 43867?
43867 is the 4566th prime number.
What is the sum of the first 4566 primes?
94,390,003.