What is the 9182nd prime number?
The 9182nd prime number is 95239. The next prime is 95257 (a gap of 18) and the one before is 95233.
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 9182nd one is 95239.
- 2
95239 is prime because no prime up to ā95239 ā 308.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9182nd prime is close to 9182 Ć ln(9182) ā 83786, and here it is 95239.
- 4
95239 has no twin: neither 95237 nor 95241 is prime.
Primes around the 9182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9179 | 95219 | 6 |
| 9180 | 95231 | 12 |
| 9181 | 95233 | 2 |
| 9182 | 95239 | 6 |
| 9183 | 95257 | 18 |
| 9184 | 95261 | 4 |
| 9185 | 95267 | 6 |
Questions
What is the 9182nd prime number?
95239.
Which prime number is 95239?
95239 is the 9182nd prime number.
What is the sum of the first 9182 primes?
414,370,477.