What is the 9082nd prime number?
The 9082nd prime number is 94121. The next prime is 94151 (a gap of 30) and the one before is 94117.
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 9082nd one is 94121.
- 2
94121 is prime because no prime up to ā94121 ā 306.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9082nd prime is close to 9082 Ć ln(9082) ā 82774, and here it is 94121.
- 4
94121 has no twin: neither 94119 nor 94123 is prime.
Primes around the 9082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9079 | 94109 | 10 |
| 9080 | 94111 | 2 |
| 9081 | 94117 | 6 |
| 9082 | 94121 | 4 |
| 9083 | 94151 | 30 |
| 9084 | 94153 | 2 |
| 9085 | 94169 | 16 |
Questions
What is the 9082nd prime number?
94121.
Which prime number is 94121?
94121 is the 9082nd prime number.
What is the sum of the first 9082 primes?
404,899,443.