What is the 9400th prime number?
The 9400th prime number is 97813. The next prime is 97829 (a gap of 16) and the one before is 97789.
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 9400th one is 97813.
- 2
97813 is prime because no prime up to ā97813 ā 312.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9400th prime is close to 9400 Ć ln(9400) ā 85996, and here it is 97813.
- 4
97813 has no twin: neither 97811 nor 97815 is prime.
Primes around the 9400th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9397 | 97777 | 6 |
| 9398 | 97787 | 10 |
| 9399 | 97789 | 2 |
| 9400 | 97813 | 24 |
| 9401 | 97829 | 16 |
| 9402 | 97841 | 12 |
| 9403 | 97843 | 2 |
Questions
What is the 9400th prime number?
97813.
Which prime number is 97813?
97813 is the 9400th prime number.
What is the sum of the first 9400 primes?
435,404,903.