What is the 9138th prime number?
The 9138th prime number is 94781. The next prime is 94789 (a gap of 8) and the one before is 94777.
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 9138th one is 94781.
- 2
94781 is prime because no prime up to ā94781 ā 307.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9138th prime is close to 9138 Ć ln(9138) ā 83340, and here it is 94781.
- 4
94781 has no twin: neither 94779 nor 94783 is prime.
Primes around the 9138th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9135 | 94747 | 20 |
| 9136 | 94771 | 24 |
| 9137 | 94777 | 6 |
| 9138 | 94781 | 4 |
| 9139 | 94789 | 8 |
| 9140 | 94793 | 4 |
| 9141 | 94811 | 18 |
Questions
What is the 9138th prime number?
94781.
Which prime number is 94781?
94781 is the 9138th prime number.
What is the sum of the first 9138 primes?
410,189,523.