What is the 9168th prime number?
The 9168th prime number is 95101. The next prime is 95107 (a gap of 6) and the one before is 95093.
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 9168th one is 95101.
- 2
95101 is prime because no prime up to ā95101 ā 308.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9168th prime is close to 9168 Ć ln(9168) ā 83644, and here it is 95101.
- 4
95101 has no twin: neither 95099 nor 95103 is prime.
Primes around the 9168th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9165 | 95087 | 4 |
| 9166 | 95089 | 2 |
| 9167 | 95093 | 4 |
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
Questions
What is the 9168th prime number?
95101.
Which prime number is 95101?
95101 is the 9168th prime number.
What is the sum of the first 9168 primes?
413,037,937.