What is the 4540th prime number?
The 4540th prime number is 43579. The next prime is 43591 (a gap of 12) and the one before is 43577.
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 4540th one is 43579.
- 2
43579 is prime because no prime up to ā43579 ā 208.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4540th prime is close to 4540 Ć ln(4540) ā 38230, and here it is 43579.
- 4
43579 is a twin prime: 43577 and 43579 are both prime.
Primes around the 4540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4537 | 43543 | 2 |
| 4538 | 43573 | 30 |
| 4539 | 43577 | 4 |
| 4540 | 43579 | 2 |
| 4541 | 43591 | 12 |
| 4542 | 43597 | 6 |
| 4543 | 43607 | 10 |
Questions
What is the 4540th prime number?
43579.
Which prime number is 43579?
43579 is the 4540th prime number.
What is the sum of the first 4540 primes?
93,253,513.