What is the 4519th prime number?
The 4519th prime number is 43313. The next prime is 43319 (a gap of 6) and the one before is 43291.
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 4519th one is 43313.
- 2
43313 is prime because no prime up to ā43313 ā 208.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4519th prime is close to 4519 Ć ln(4519) ā 38032, and here it is 43313.
- 4
43313 has no twin: neither 43311 nor 43315 is prime.
Primes around the 4519th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4516 | 43271 | 10 |
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
| 4522 | 43331 | 10 |
Questions
What is the 4519th prime number?
43313.
Which prime number is 43313?
43313 is the 4519th prime number.
What is the sum of the first 4519 primes?
92,340,968.