What is the 8890th prime number?
The 8890th prime number is 92033. The next prime is 92041 (a gap of 8) and the one before is 92009.
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 8890th one is 92033.
- 2
92033 is prime because no prime up to ā92033 ā 303.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8890th prime is close to 8890 Ć ln(8890) ā 80834, and here it is 92033.
- 4
92033 has no twin: neither 92031 nor 92035 is prime.
Primes around the 8890th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8887 | 91997 | 28 |
| 8888 | 92003 | 6 |
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
| 8892 | 92051 | 10 |
| 8893 | 92077 | 26 |
Questions
What is the 8890th prime number?
92033.
Which prime number is 92033?
92033 is the 8890th prime number.
What is the sum of the first 8890 primes?
387,032,129.