What is the 8893rd prime number?
The 8893rd prime number is 92077. The next prime is 92083 (a gap of 6) and the one before is 92051.
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 8893rd one is 92077.
- 2
92077 is prime because no prime up to ā92077 ā 303.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8893rd prime is close to 8893 Ć ln(8893) ā 80864, and here it is 92077.
- 4
92077 has no twin: neither 92075 nor 92079 is prime.
Primes around the 8893rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8890 | 92033 | 24 |
| 8891 | 92041 | 8 |
| 8892 | 92051 | 10 |
| 8893 | 92077 | 26 |
| 8894 | 92083 | 6 |
| 8895 | 92107 | 24 |
| 8896 | 92111 | 4 |
Questions
What is the 8893rd prime number?
92077.
Which prime number is 92077?
92077 is the 8893rd prime number.
What is the sum of the first 8893 primes?
387,308,298.