What is the 9401st prime number?
The 9401st prime number is 97829. The next prime is 97841 (a gap of 12) and the one before is 97813.
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 9401st one is 97829.
- 2
97829 is prime because no prime up to ā97829 ā 312.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9401st prime is close to 9401 Ć ln(9401) ā 86006, and here it is 97829.
- 4
97829 has no twin: neither 97827 nor 97831 is prime.
Primes around the 9401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
| 9403 | 97843 | 2 |
| 9404 | 97847 | 4 |
Questions
What is the 9401st prime number?
97829.
Which prime number is 97829?
97829 is the 9401st prime number.
What is the sum of the first 9401 primes?
435,502,732.