What is the 9085th prime number?
The 9085th prime number is 94169. The next prime is 94201 (a gap of 32) and the one before is 94153.
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 9085th one is 94169.
- 2
94169 is prime because no prime up to ā94169 ā 306.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9085th prime is close to 9085 Ć ln(9085) ā 82804, and here it is 94169.
- 4
94169 has no twin: neither 94167 nor 94171 is prime.
Primes around the 9085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9082 | 94121 | 4 |
| 9083 | 94151 | 30 |
| 9084 | 94153 | 2 |
| 9085 | 94169 | 16 |
| 9086 | 94201 | 32 |
| 9087 | 94207 | 6 |
| 9088 | 94219 | 12 |
Questions
What is the 9085th prime number?
94169.
Which prime number is 94169?
94169 is the 9085th prime number.
What is the sum of the first 9085 primes?
405,181,916.