What is the 8480th prime number?
The 8480th prime number is 87323. The next prime is 87337 (a gap of 14) and the one before is 87317.
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 8480th one is 87323.
- 2
87323 is prime because no prime up to ā87323 ā 295.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8480th prime is close to 8480 Ć ln(8480) ā 76706, and here it is 87323.
- 4
87323 has no twin: neither 87321 nor 87325 is prime.
Primes around the 8480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8477 | 87299 | 6 |
| 8478 | 87313 | 14 |
| 8479 | 87317 | 4 |
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
| 8482 | 87359 | 22 |
| 8483 | 87383 | 24 |
Questions
What is the 8480th prime number?
87323.
Which prime number is 87323?
87323 is the 8480th prime number.
What is the sum of the first 8480 primes?
350,262,943.