What is the 8805th prime number?
The 8805th prime number is 91033. The next prime is 91079 (a gap of 46) and the one before is 91019.
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 8805th one is 91033.
- 2
91033 is prime because no prime up to ā91033 ā 301.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8805th prime is close to 8805 Ć ln(8805) ā 79976, and here it is 91033.
- 4
91033 has no twin: neither 91031 nor 91035 is prime.
Primes around the 8805th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
| 8804 | 91019 | 10 |
| 8805 | 91033 | 14 |
| 8806 | 91079 | 46 |
| 8807 | 91081 | 2 |
| 8808 | 91097 | 16 |
Questions
What is the 8805th prime number?
91033.
Which prime number is 91033?
91033 is the 8805th prime number.
What is the sum of the first 8805 primes?
379,252,158.