What is the 8847th prime number?
The 8847th prime number is 91493. The next prime is 91499 (a gap of 6) and the one before is 91463.
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 8847th one is 91493.
- 2
91493 is prime because no prime up to ā91493 ā 302.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8847th prime is close to 8847 Ć ln(8847) ā 80400, and here it is 91493.
- 4
91493 has no twin: neither 91491 nor 91495 is prime.
Primes around the 8847th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8844 | 91457 | 4 |
| 8845 | 91459 | 2 |
| 8846 | 91463 | 4 |
| 8847 | 91493 | 30 |
| 8848 | 91499 | 6 |
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
Questions
What is the 8847th prime number?
91493.
Which prime number is 91493?
91493 is the 8847th prime number.
What is the sum of the first 8847 primes?
383,085,656.