What is the 9172nd prime number?
The 9172nd prime number is 95143. The next prime is 95153 (a gap of 10) and the one before is 95131.
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 9172nd one is 95143.
- 2
95143 is prime because no prime up to ā95143 ā 308.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9172nd prime is close to 9172 Ć ln(9172) ā 83685, and here it is 95143.
- 4
95143 has no twin: neither 95141 nor 95145 is prime.
Primes around the 9172nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
| 9172 | 95143 | 12 |
| 9173 | 95153 | 10 |
| 9174 | 95177 | 24 |
| 9175 | 95189 | 12 |
Questions
What is the 9172nd prime number?
95143.
Which prime number is 95143?
95143 is the 9172nd prime number.
What is the sum of the first 9172 primes?
413,418,429.