What is the 9349th prime number?
The 9349th prime number is 97159. The next prime is 97169 (a gap of 10) and the one before is 97157.
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 9349th one is 97159.
- 2
97159 is prime because no prime up to ā97159 ā 311.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9349th prime is close to 9349 Ć ln(9349) ā 85478, and here it is 97159.
- 4
97159 is a twin prime: 97157 and 97159 are both prime.
Primes around the 9349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9346 | 97127 | 10 |
| 9347 | 97151 | 24 |
| 9348 | 97157 | 6 |
| 9349 | 97159 | 2 |
| 9350 | 97169 | 10 |
| 9351 | 97171 | 2 |
| 9352 | 97177 | 6 |
Questions
What is the 9349th prime number?
97159.
Which prime number is 97159?
97159 is the 9349th prime number.
What is the sum of the first 9349 primes?
430,433,300.