What is the 4543rd prime number?
The 4543rd prime number is 43607. The next prime is 43609 (a gap of 2) and the one before is 43597.
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 4543rd one is 43607.
- 2
43607 is prime because no prime up to ā43607 ā 208.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4543rd prime is close to 4543 Ć ln(4543) ā 38258, and here it is 43607.
- 4
43607 is a twin prime: 43607 and 43609 are both prime.
Primes around the 4543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4540 | 43579 | 2 |
| 4541 | 43591 | 12 |
| 4542 | 43597 | 6 |
| 4543 | 43607 | 10 |
| 4544 | 43609 | 2 |
| 4545 | 43613 | 4 |
| 4546 | 43627 | 14 |
Questions
What is the 4543rd prime number?
43607.
Which prime number is 43607?
43607 is the 4543rd prime number.
What is the sum of the first 4543 primes?
93,384,308.