What is the 9173rd prime number?
The 9173rd prime number is 95153. The next prime is 95177 (a gap of 24) and the one before is 95143.
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 9173rd one is 95153.
- 2
95153 is prime because no prime up to ā95153 ā 308.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9173rd prime is close to 9173 Ć ln(9173) ā 83695, and here it is 95153.
- 4
95153 has no twin: neither 95151 nor 95155 is prime.
Primes around the 9173rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
| 9172 | 95143 | 12 |
| 9173 | 95153 | 10 |
| 9174 | 95177 | 24 |
| 9175 | 95189 | 12 |
| 9176 | 95191 | 2 |
Questions
What is the 9173rd prime number?
95153.
Which prime number is 95153?
95153 is the 9173rd prime number.
What is the sum of the first 9173 primes?
413,513,582.