What is the 9404th prime number?
The 9404th prime number is 97847. The next prime is 97849 (a gap of 2) and the one before is 97843.
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 9404th one is 97847.
- 2
97847 is prime because no prime up to ā97847 ā 312.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9404th prime is close to 9404 Ć ln(9404) ā 86036, and here it is 97847.
- 4
97847 is a twin prime: 97847 and 97849 are both prime.
Primes around the 9404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
| 9403 | 97843 | 2 |
| 9404 | 97847 | 4 |
| 9405 | 97849 | 2 |
| 9406 | 97859 | 10 |
| 9407 | 97861 | 2 |
Questions
What is the 9404th prime number?
97847.
Which prime number is 97847?
97847 is the 9404th prime number.
What is the sum of the first 9404 primes?
435,796,263.