What is the 9347th prime number?
The 9347th prime number is 97151. The next prime is 97157 (a gap of 6) and the one before is 97127.
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 9347th one is 97151.
- 2
97151 is prime because no prime up to ā97151 ā 311.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9347th prime is close to 9347 Ć ln(9347) ā 85458, and here it is 97151.
- 4
97151 has no twin: neither 97149 nor 97153 is prime.
Primes around the 9347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
| 9350 | 97169 | 10 |
Questions
What is the 9347th prime number?
97151.
Which prime number is 97151?
97151 is the 9347th prime number.
What is the sum of the first 9347 primes?
430,238,984.