What is the 9408th prime number?
The 9408th prime number is 97871. The next prime is 97879 (a gap of 8) and the one before is 97861.
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 9408th one is 97871.
- 2
97871 is prime because no prime up to ā97871 ā 312.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9408th prime is close to 9408 Ć ln(9408) ā 86077, and here it is 97871.
- 4
97871 has no twin: neither 97869 nor 97873 is prime.
Primes around the 9408th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9405 | 97849 | 2 |
| 9406 | 97859 | 10 |
| 9407 | 97861 | 2 |
| 9408 | 97871 | 10 |
| 9409 | 97879 | 8 |
| 9410 | 97883 | 4 |
| 9411 | 97919 | 36 |
Questions
What is the 9408th prime number?
97871.
Which prime number is 97871?
97871 is the 9408th prime number.
What is the sum of the first 9408 primes?
436,187,703.