What is the 8889th prime number?
The 8889th prime number is 92009. The next prime is 92033 (a gap of 24) and the one before is 92003.
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 8889th one is 92009.
- 2
92009 is prime because no prime up to ā92009 ā 303.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8889th prime is close to 8889 Ć ln(8889) ā 80824, and here it is 92009.
- 4
92009 has no twin: neither 92007 nor 92011 is prime.
Primes around the 8889th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8886 | 91969 | 2 |
| 8887 | 91997 | 28 |
| 8888 | 92003 | 6 |
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
| 8892 | 92051 | 10 |
Questions
What is the 8889th prime number?
92009.
Which prime number is 92009?
92009 is the 8889th prime number.
What is the sum of the first 8889 primes?
386,940,096.