What is the 4520th prime number?
The 4520th prime number is 43319. The next prime is 43321 (a gap of 2) and the one before is 43313.
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 4520th one is 43319.
- 2
43319 is prime because no prime up to ā43319 ā 208.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4520th prime is close to 4520 Ć ln(4520) ā 38042, and here it is 43319.
- 4
43319 is a twin prime: 43319 and 43321 are both prime.
Primes around the 4520th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
| 4522 | 43331 | 10 |
| 4523 | 43391 | 60 |
Questions
What is the 4520th prime number?
43319.
Which prime number is 43319?
43319 is the 4520th prime number.
What is the sum of the first 4520 primes?
92,384,287.