What is the 9180th prime number?
The 9180th prime number is 95231. The next prime is 95233 (a gap of 2) and the one before is 95219.
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 9180th one is 95231.
- 2
95231 is prime because no prime up to ā95231 ā 308.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9180th prime is close to 9180 Ć ln(9180) ā 83766, and here it is 95231.
- 4
95231 is a twin prime: 95231 and 95233 are both prime.
Primes around the 9180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9177 | 95203 | 12 |
| 9178 | 95213 | 10 |
| 9179 | 95219 | 6 |
| 9180 | 95231 | 12 |
| 9181 | 95233 | 2 |
| 9182 | 95239 | 6 |
| 9183 | 95257 | 18 |
Questions
What is the 9180th prime number?
95231.
Which prime number is 95231?
95231 is the 9180th prime number.
What is the sum of the first 9180 primes?
414,180,005.