What is the 8845th prime number?
The 8845th prime number is 91459. The next prime is 91463 (a gap of 4) and the one before is 91457.
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 8845th one is 91459.
- 2
91459 is prime because no prime up to ā91459 ā 302.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8845th prime is close to 8845 Ć ln(8845) ā 80380, and here it is 91459.
- 4
91459 is a twin prime: 91457 and 91459 are both prime.
Primes around the 8845th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8842 | 91433 | 10 |
| 8843 | 91453 | 20 |
| 8844 | 91457 | 4 |
| 8845 | 91459 | 2 |
| 8846 | 91463 | 4 |
| 8847 | 91493 | 30 |
| 8848 | 91499 | 6 |
Questions
What is the 8845th prime number?
91459.
Which prime number is 91459?
91459 is the 8845th prime number.
What is the sum of the first 8845 primes?
382,902,700.