What is the 9107th prime number?
The 9107th prime number is 94433. The next prime is 94439 (a gap of 6) and the one before is 94427.
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 9107th one is 94433.
- 2
94433 is prime because no prime up to ā94433 ā 307.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9107th prime is close to 9107 Ć ln(9107) ā 83027, and here it is 94433.
- 4
94433 has no twin: neither 94431 nor 94435 is prime.
Primes around the 9107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9104 | 94399 | 2 |
| 9105 | 94421 | 22 |
| 9106 | 94427 | 6 |
| 9107 | 94433 | 6 |
| 9108 | 94439 | 6 |
| 9109 | 94441 | 2 |
| 9110 | 94447 | 6 |
Questions
What is the 9107th prime number?
94433.
Which prime number is 94433?
94433 is the 9107th prime number.
What is the sum of the first 9107 primes?
407,256,944.