What is the 8478th prime number?
The 8478th prime number is 87313. The next prime is 87317 (a gap of 4) and the one before is 87299.
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 8478th one is 87313.
- 2
87313 is prime because no prime up to ā87313 ā 295.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8478th prime is close to 8478 Ć ln(8478) ā 76685, and here it is 87313.
- 4
87313 has no twin: neither 87311 nor 87315 is prime.
Primes around the 8478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8475 | 87281 | 4 |
| 8476 | 87293 | 12 |
| 8477 | 87299 | 6 |
| 8478 | 87313 | 14 |
| 8479 | 87317 | 4 |
| 8480 | 87323 | 6 |
| 8481 | 87337 | 14 |
Questions
What is the 8478th prime number?
87313.
Which prime number is 87313?
87313 is the 8478th prime number.
What is the sum of the first 8478 primes?
350,088,303.