What is the 4564th prime number?
The 4564th prime number is 43801. The next prime is 43853 (a gap of 52) and the one before is 43793.
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 4564th one is 43801.
- 2
43801 is prime because no prime up to ā43801 ā 209.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4564th prime is close to 4564 Ć ln(4564) ā 38456, and here it is 43801.
- 4
43801 has no twin: neither 43799 nor 43803 is prime.
Primes around the 4564th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4561 | 43787 | 4 |
| 4562 | 43789 | 2 |
| 4563 | 43793 | 4 |
| 4564 | 43801 | 8 |
| 4565 | 43853 | 52 |
| 4566 | 43867 | 14 |
| 4567 | 43889 | 22 |
Questions
What is the 4564th prime number?
43801.
Which prime number is 43801?
43801 is the 4564th prime number.
What is the sum of the first 4564 primes?
94,302,283.