What is the 9346th prime number?
The 9346th prime number is 97127. The next prime is 97151 (a gap of 24) and the one before is 97117.
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 9346th one is 97127.
- 2
97127 is prime because no prime up to ā97127 ā 311.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9346th prime is close to 9346 Ć ln(9346) ā 85448, and here it is 97127.
- 4
97127 has no twin: neither 97125 nor 97129 is prime.
Primes around the 9346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
Questions
What is the 9346th prime number?
97127.
Which prime number is 97127?
97127 is the 9346th prime number.
What is the sum of the first 9346 primes?
430,141,833.