What is the 4559th prime number?
The 4559th prime number is 43781. The next prime is 43783 (a gap of 2) and the one before is 43777.
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 4559th one is 43781.
- 2
43781 is prime because no prime up to ā43781 ā 209.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4559th prime is close to 4559 Ć ln(4559) ā 38409, and here it is 43781.
- 4
43781 is a twin prime: 43781 and 43783 are both prime.
Primes around the 4559th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4556 | 43753 | 32 |
| 4557 | 43759 | 6 |
| 4558 | 43777 | 18 |
| 4559 | 43781 | 4 |
| 4560 | 43783 | 2 |
| 4561 | 43787 | 4 |
| 4562 | 43789 | 2 |
Questions
What is the 4559th prime number?
43781.
Which prime number is 43781?
43781 is the 4559th prime number.
What is the sum of the first 4559 primes?
94,083,330.