What is the 9105th prime number?
The 9105th prime number is 94421. The next prime is 94427 (a gap of 6) and the one before is 94399.
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 9105th one is 94421.
- 2
94421 is prime because no prime up to ā94421 ā 307.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9105th prime is close to 9105 Ć ln(9105) ā 83006, and here it is 94421.
- 4
94421 has no twin: neither 94419 nor 94423 is prime.
Primes around the 9105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9102 | 94379 | 28 |
| 9103 | 94397 | 18 |
| 9104 | 94399 | 2 |
| 9105 | 94421 | 22 |
| 9106 | 94427 | 6 |
| 9107 | 94433 | 6 |
| 9108 | 94439 | 6 |
Questions
What is the 9105th prime number?
94421.
Which prime number is 94421?
94421 is the 9105th prime number.
What is the sum of the first 9105 primes?
407,068,084.