What is the 9094th prime number?
The 9094th prime number is 94307. The next prime is 94309 (a gap of 2) and the one before is 94291.
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 9094th one is 94307.
- 2
94307 is prime because no prime up to ā94307 ā 307.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9094th prime is close to 9094 Ć ln(9094) ā 82895, and here it is 94307.
- 4
94307 is a twin prime: 94307 and 94309 are both prime.
Primes around the 9094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
| 9097 | 94327 | 6 |
Questions
What is the 9094th prime number?
94307.
Which prime number is 94307?
94307 is the 9094th prime number.
What is the sum of the first 9094 primes?
406,030,157.