What is the 9171st prime number?
The 9171st prime number is 95131. The next prime is 95143 (a gap of 12) and the one before is 95111.
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 9171st one is 95131.
- 2
95131 is prime because no prime up to ā95131 ā 308.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9171st prime is close to 9171 Ć ln(9171) ā 83674, and here it is 95131.
- 4
95131 has no twin: neither 95129 nor 95133 is prime.
Primes around the 9171st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9168 | 95101 | 8 |
| 9169 | 95107 | 6 |
| 9170 | 95111 | 4 |
| 9171 | 95131 | 20 |
| 9172 | 95143 | 12 |
| 9173 | 95153 | 10 |
| 9174 | 95177 | 24 |
Questions
What is the 9171st prime number?
95131.
Which prime number is 95131?
95131 is the 9171st prime number.
What is the sum of the first 9171 primes?
413,323,286.