What is the 9109th prime number?
The 9109th prime number is 94441. The next prime is 94447 (a gap of 6) and the one before is 94439.
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 9109th one is 94441.
- 2
94441 is prime because no prime up to ā94441 ā 307.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9109th prime is close to 9109 Ć ln(9109) ā 83047, and here it is 94441.
- 4
94441 is a twin prime: 94439 and 94441 are both prime.
Primes around the 9109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9106 | 94427 | 6 |
| 9107 | 94433 | 6 |
| 9108 | 94439 | 6 |
| 9109 | 94441 | 2 |
| 9110 | 94447 | 6 |
| 9111 | 94463 | 16 |
| 9112 | 94477 | 14 |
Questions
What is the 9109th prime number?
94441.
Which prime number is 94441?
94441 is the 9109th prime number.
What is the sum of the first 9109 primes?
407,445,824.