What is the 8844th prime number?
The 8844th prime number is 91457. The next prime is 91459 (a gap of 2) and the one before is 91453.
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 8844th one is 91457.
- 2
91457 is prime because no prime up to ā91457 ā 302.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8844th prime is close to 8844 Ć ln(8844) ā 80370, and here it is 91457.
- 4
91457 is a twin prime: 91457 and 91459 are both prime.
Primes around the 8844th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8841 | 91423 | 12 |
| 8842 | 91433 | 10 |
| 8843 | 91453 | 20 |
| 8844 | 91457 | 4 |
| 8845 | 91459 | 2 |
| 8846 | 91463 | 4 |
| 8847 | 91493 | 30 |
Questions
What is the 8844th prime number?
91457.
Which prime number is 91457?
91457 is the 8844th prime number.
What is the sum of the first 8844 primes?
382,811,241.