What is the 9140th prime number?
The 9140th prime number is 94793. The next prime is 94811 (a gap of 18) and the one before is 94789.
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 9140th one is 94793.
- 2
94793 is prime because no prime up to ā94793 ā 307.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9140th prime is close to 9140 Ć ln(9140) ā 83361, and here it is 94793.
- 4
94793 has no twin: neither 94791 nor 94795 is prime.
Primes around the 9140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9137 | 94777 | 6 |
| 9138 | 94781 | 4 |
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
| 9142 | 94819 | 8 |
| 9143 | 94823 | 4 |
Questions
What is the 9140th prime number?
94793.
Which prime number is 94793?
94793 is the 9140th prime number.
What is the sum of the first 9140 primes?
410,379,105.