What is the 4518th prime number?
The 4518th prime number is 43291. The next prime is 43313 (a gap of 22) and the one before is 43283.
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 4518th one is 43291.
- 2
43291 is prime because no prime up to ā43291 ā 208.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4518th prime is close to 4518 Ć ln(4518) ā 38023, and here it is 43291.
- 4
43291 has no twin: neither 43289 nor 43293 is prime.
Primes around the 4518th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4515 | 43261 | 24 |
| 4516 | 43271 | 10 |
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
| 4521 | 43321 | 2 |
Questions
What is the 4518th prime number?
43291.
Which prime number is 43291?
43291 is the 4518th prime number.
What is the sum of the first 4518 primes?
92,297,655.