What is the 9106th prime number?
The 9106th prime number is 94427. The next prime is 94433 (a gap of 6) and the one before is 94421.
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 9106th one is 94427.
- 2
94427 is prime because no prime up to ā94427 ā 307.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9106th prime is close to 9106 Ć ln(9106) ā 83017, and here it is 94427.
- 4
94427 has no twin: neither 94425 nor 94429 is prime.
Primes around the 9106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9103 | 94397 | 18 |
| 9104 | 94399 | 2 |
| 9105 | 94421 | 22 |
| 9106 | 94427 | 6 |
| 9107 | 94433 | 6 |
| 9108 | 94439 | 6 |
| 9109 | 94441 | 2 |
Questions
What is the 9106th prime number?
94427.
Which prime number is 94427?
94427 is the 9106th prime number.
What is the sum of the first 9106 primes?
407,162,511.