What is the 8873rd prime number?
The 8873rd prime number is 91823. The next prime is 91837 (a gap of 14) and the one before is 91813.
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 8873rd one is 91823.
- 2
91823 is prime because no prime up to ā91823 ā 303.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8873rd prime is close to 8873 Ć ln(8873) ā 80662, and here it is 91823.
- 4
91823 has no twin: neither 91821 nor 91825 is prime.
Primes around the 8873rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8870 | 91807 | 6 |
| 8871 | 91811 | 4 |
| 8872 | 91813 | 2 |
| 8873 | 91823 | 10 |
| 8874 | 91837 | 14 |
| 8875 | 91841 | 4 |
| 8876 | 91867 | 26 |
Questions
What is the 8873rd prime number?
91823.
Which prime number is 91823?
91823 is the 8873rd prime number.
What is the sum of the first 8873 primes?
385,469,152.