What is the 4556th prime number?
The 4556th prime number is 43753. The next prime is 43759 (a gap of 6) and the one before is 43721.
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 4556th one is 43753.
- 2
43753 is prime because no prime up to ā43753 ā 209.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4556th prime is close to 4556 Ć ln(4556) ā 38381, and here it is 43753.
- 4
43753 has no twin: neither 43751 nor 43755 is prime.
Primes around the 4556th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4553 | 43711 | 20 |
| 4554 | 43717 | 6 |
| 4555 | 43721 | 4 |
| 4556 | 43753 | 32 |
| 4557 | 43759 | 6 |
| 4558 | 43777 | 18 |
| 4559 | 43781 | 4 |
Questions
What is the 4556th prime number?
43753.
Which prime number is 43753?
43753 is the 4556th prime number.
What is the sum of the first 4556 primes?
93,952,013.