What is the 8849th prime number?
The 8849th prime number is 91513. The next prime is 91529 (a gap of 16) and the one before is 91499.
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 8849th one is 91513.
- 2
91513 is prime because no prime up to ā91513 ā 302.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8849th prime is close to 8849 Ć ln(8849) ā 80420, and here it is 91513.
- 4
91513 has no twin: neither 91511 nor 91515 is prime.
Primes around the 8849th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8846 | 91463 | 4 |
| 8847 | 91493 | 30 |
| 8848 | 91499 | 6 |
| 8849 | 91513 | 14 |
| 8850 | 91529 | 16 |
| 8851 | 91541 | 12 |
| 8852 | 91571 | 30 |
Questions
What is the 8849th prime number?
91513.
Which prime number is 91513?
91513 is the 8849th prime number.
What is the sum of the first 8849 primes?
383,268,668.