What is the 4555th prime number?
The 4555th prime number is 43721. The next prime is 43753 (a gap of 32) and the one before is 43717.
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 4555th one is 43721.
- 2
43721 is prime because no prime up to ā43721 ā 209.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4555th prime is close to 4555 Ć ln(4555) ā 38371, and here it is 43721.
- 4
43721 has no twin: neither 43719 nor 43723 is prime.
Primes around the 4555th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4552 | 43691 | 22 |
| 4553 | 43711 | 20 |
| 4554 | 43717 | 6 |
| 4555 | 43721 | 4 |
| 4556 | 43753 | 32 |
| 4557 | 43759 | 6 |
| 4558 | 43777 | 18 |
Questions
What is the 4555th prime number?
43721.
Which prime number is 43721?
43721 is the 4555th prime number.
What is the sum of the first 4555 primes?
93,908,260.