What is the 8804th prime number?
The 8804th prime number is 91019. The next prime is 91033 (a gap of 14) and the one before is 91009.
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 8804th one is 91019.
- 2
91019 is prime because no prime up to ā91019 ā 301.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8804th prime is close to 8804 Ć ln(8804) ā 79966, and here it is 91019.
- 4
91019 has no twin: neither 91017 nor 91021 is prime.
Primes around the 8804th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
| 8804 | 91019 | 10 |
| 8805 | 91033 | 14 |
| 8806 | 91079 | 46 |
| 8807 | 91081 | 2 |
Questions
What is the 8804th prime number?
91019.
Which prime number is 91019?
91019 is the 8804th prime number.
What is the sum of the first 8804 primes?
379,161,125.