What is the 9409th prime number?
The 9409th prime number is 97879. The next prime is 97883 (a gap of 4) and the one before is 97871.
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 9409th one is 97879.
- 2
97879 is prime because no prime up to ā97879 ā 312.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9409th prime is close to 9409 Ć ln(9409) ā 86087, and here it is 97879.
- 4
97879 has no twin: neither 97877 nor 97881 is prime.
Primes around the 9409th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9406 | 97859 | 10 |
| 9407 | 97861 | 2 |
| 9408 | 97871 | 10 |
| 9409 | 97879 | 8 |
| 9410 | 97883 | 4 |
| 9411 | 97919 | 36 |
| 9412 | 97927 | 8 |
Questions
What is the 9409th prime number?
97879.
Which prime number is 97879?
97879 is the 9409th prime number.
What is the sum of the first 9409 primes?
436,285,582.