What is the 8803rd prime number?
The 8803rd prime number is 91009. The next prime is 91019 (a gap of 10) and the one before is 90997.
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 8803rd one is 91009.
- 2
91009 is prime because no prime up to ā91009 ā 301.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8803rd prime is close to 8803 Ć ln(8803) ā 79956, and here it is 91009.
- 4
91009 has no twin: neither 91007 nor 91011 is prime.
Primes around the 8803rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8800 | 90977 | 6 |
| 8801 | 90989 | 12 |
| 8802 | 90997 | 8 |
| 8803 | 91009 | 12 |
| 8804 | 91019 | 10 |
| 8805 | 91033 | 14 |
| 8806 | 91079 | 46 |
Questions
What is the 8803rd prime number?
91009.
Which prime number is 91009?
91009 is the 8803rd prime number.
What is the sum of the first 8803 primes?
379,070,106.