What is the 9351st prime number?
The 9351st prime number is 97171. The next prime is 97177 (a gap of 6) and the one before is 97169.
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 9351st one is 97171.
- 2
97171 is prime because no prime up to ā97171 ā 311.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9351st prime is close to 9351 Ć ln(9351) ā 85498, and here it is 97171.
- 4
97171 is a twin prime: 97169 and 97171 are both prime.
Primes around the 9351st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
| 9350 | 97169 | 10 |
| 9351 | 97171 | 2 |
| 9352 | 97177 | 6 |
| 9353 | 97187 | 10 |
| 9354 | 97213 | 26 |
Questions
What is the 9351st prime number?
97171.
Which prime number is 97171?
97171 is the 9351st prime number.
What is the sum of the first 9351 primes?
430,627,640.