What is the 9169th prime number?
The 9169th prime number is 95107. The next prime is 95111 (a gap of 4) and the one before is 95101.
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 9169th one is 95107.
- 2
95107 is prime because no prime up to ā95107 ā 308.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9169th prime is close to 9169 Ć ln(9169) ā 83654, and here it is 95107.
- 4
95107 has no twin: neither 95105 nor 95109 is prime.
Primes around the 9169th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
| 9172 | 95143 | 12 |
Questions
What is the 9169th prime number?
95107.
Which prime number is 95107?
95107 is the 9169th prime number.
What is the sum of the first 9169 primes?
413,133,044.