What is the 8892nd prime number?
The 8892nd prime number is 92051. The next prime is 92077 (a gap of 26) and the one before is 92041.
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 8892nd one is 92051.
- 2
92051 is prime because no prime up to ā92051 ā 303.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8892nd prime is close to 8892 Ć ln(8892) ā 80854, and here it is 92051.
- 4
92051 has no twin: neither 92049 nor 92053 is prime.
Primes around the 8892nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8889 | 92009 | 6 |
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
| 8892 | 92051 | 10 |
| 8893 | 92077 | 26 |
| 8894 | 92083 | 6 |
| 8895 | 92107 | 24 |
Questions
What is the 8892nd prime number?
92051.
Which prime number is 92051?
92051 is the 8892nd prime number.
What is the sum of the first 8892 primes?
387,216,221.