What is the 9170th prime number?
The 9170th prime number is 95111. The next prime is 95131 (a gap of 20) and the one before is 95107.
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 9170th one is 95111.
- 2
95111 is prime because no prime up to ā95111 ā 308.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9170th prime is close to 9170 Ć ln(9170) ā 83664, and here it is 95111.
- 4
95111 has no twin: neither 95109 nor 95113 is prime.
Primes around the 9170th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
| 9172 | 95143 | 12 |
| 9173 | 95153 | 10 |
Questions
What is the 9170th prime number?
95111.
Which prime number is 95111?
95111 is the 9170th prime number.
What is the sum of the first 9170 primes?
413,228,155.