What is the 8891st prime number?
The 8891st prime number is 92041. The next prime is 92051 (a gap of 10) and the one before is 92033.
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 8891st one is 92041.
- 2
92041 is prime because no prime up to ā92041 ā 303.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8891st prime is close to 8891 Ć ln(8891) ā 80844, and here it is 92041.
- 4
92041 has no twin: neither 92039 nor 92043 is prime.
Primes around the 8891st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8888 | 92003 | 6 |
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
| 8892 | 92051 | 10 |
| 8893 | 92077 | 26 |
| 8894 | 92083 | 6 |
Questions
What is the 8891st prime number?
92041.
Which prime number is 92041?
92041 is the 8891st prime number.
What is the sum of the first 8891 primes?
387,124,170.