What is the 9345th prime number?
The 9345th prime number is 97117. The next prime is 97127 (a gap of 10) and the one before is 97103.
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 9345th one is 97117.
- 2
97117 is prime because no prime up to ā97117 ā 311.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9345th prime is close to 9345 Ć ln(9345) ā 85438, and here it is 97117.
- 4
97117 has no twin: neither 97115 nor 97119 is prime.
Primes around the 9345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9342 | 97073 | 34 |
| 9343 | 97081 | 8 |
| 9344 | 97103 | 22 |
| 9345 | 97117 | 14 |
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
Questions
What is the 9345th prime number?
97117.
Which prime number is 97117?
97117 is the 9345th prime number.
What is the sum of the first 9345 primes?
430,044,706.