What is the 9348th prime number?
The 9348th prime number is 97157. The next prime is 97159 (a gap of 2) and the one before is 97151.
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 9348th one is 97157.
- 2
97157 is prime because no prime up to ā97157 ā 311.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9348th prime is close to 9348 Ć ln(9348) ā 85468, and here it is 97157.
- 4
97157 is a twin prime: 97157 and 97159 are both prime.
Primes around the 9348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
| 9350 | 97169 | 10 |
| 9351 | 97171 | 2 |
Questions
What is the 9348th prime number?
97157.
Which prime number is 97157?
97157 is the 9348th prime number.
What is the sum of the first 9348 primes?
430,336,141.