What is the 9083rd prime number?
The 9083rd prime number is 94151. The next prime is 94153 (a gap of 2) and the one before is 94121.
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 9083rd one is 94151.
- 2
94151 is prime because no prime up to ā94151 ā 306.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9083rd prime is close to 9083 Ć ln(9083) ā 82784, and here it is 94151.
- 4
94151 is a twin prime: 94151 and 94153 are both prime.
Primes around the 9083rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
| 9082 | 94121 | 4 |
| 9083 | 94151 | 30 |
| 9084 | 94153 | 2 |
| 9085 | 94169 | 16 |
| 9086 | 94201 | 32 |
Questions
What is the 9083rd prime number?
94151.
Which prime number is 94151?
94151 is the 9083rd prime number.
What is the sum of the first 9083 primes?
404,993,594.