What is the 9100th prime number?
The 9100th prime number is 94349. The next prime is 94351 (a gap of 2) and the one before is 94343.
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 9100th one is 94349.
- 2
94349 is prime because no prime up to ā94349 ā 307.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9100th prime is close to 9100 Ć ln(9100) ā 82956, and here it is 94349.
- 4
94349 is a twin prime: 94349 and 94351 are both prime.
Primes around the 9100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9097 | 94327 | 6 |
| 9098 | 94331 | 4 |
| 9099 | 94343 | 12 |
| 9100 | 94349 | 6 |
| 9101 | 94351 | 2 |
| 9102 | 94379 | 28 |
| 9103 | 94397 | 18 |
Questions
What is the 9100th prime number?
94349.
Which prime number is 94349?
94349 is the 9100th prime number.
What is the sum of the first 9100 primes?
406,596,137.