What is the 4517th prime number?
The 4517th prime number is 43283. The next prime is 43291 (a gap of 8) and the one before is 43271.
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 4517th one is 43283.
- 2
43283 is prime because no prime up to ā43283 ā 208.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4517th prime is close to 4517 Ć ln(4517) ā 38013, and here it is 43283.
- 4
43283 has no twin: neither 43281 nor 43285 is prime.
Primes around the 4517th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4514 | 43237 | 14 |
| 4515 | 43261 | 24 |
| 4516 | 43271 | 10 |
| 4517 | 43283 | 12 |
| 4518 | 43291 | 8 |
| 4519 | 43313 | 22 |
| 4520 | 43319 | 6 |
Questions
What is the 4517th prime number?
43283.
Which prime number is 43283?
43283 is the 4517th prime number.
What is the sum of the first 4517 primes?
92,254,364.