What is the 8479th prime number?
The 8479th prime number is 87317. The next prime is 87323 (a gap of 6) and the one before is 87313.
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 8479th one is 87317.
- 2
87317 is prime because no prime up to ā87317 ā 295.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8479th prime is close to 8479 Ć ln(8479) ā 76696, and here it is 87317.
- 4
87317 has no twin: neither 87315 nor 87319 is prime.
Primes around the 8479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8476 | 87293 | 12 |
| 8477 | 87299 | 6 |
| 8478 | 87313 | 14 |
| 8479 | 87317 | 4 |
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
| 8482 | 87359 | 22 |
Questions
What is the 8479th prime number?
87317.
Which prime number is 87317?
87317 is the 8479th prime number.
What is the sum of the first 8479 primes?
350,175,620.