What is the 9104th prime number?
The 9104th prime number is 94399. The next prime is 94421 (a gap of 22) and the one before is 94397.
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 9104th one is 94399.
- 2
94399 is prime because no prime up to ā94399 ā 307.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9104th prime is close to 9104 Ć ln(9104) ā 82996, and here it is 94399.
- 4
94399 is a twin prime: 94397 and 94399 are both prime.
Primes around the 9104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9101 | 94351 | 2 |
| 9102 | 94379 | 28 |
| 9103 | 94397 | 18 |
| 9104 | 94399 | 2 |
| 9105 | 94421 | 22 |
| 9106 | 94427 | 6 |
| 9107 | 94433 | 6 |
Questions
What is the 9104th prime number?
94399.
Which prime number is 94399?
94399 is the 9104th prime number.
What is the sum of the first 9104 primes?
406,973,663.