What is the 9093rd prime number?
The 9093rd prime number is 94291. The next prime is 94307 (a gap of 16) and the one before is 94273.
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 9093rd one is 94291.
- 2
94291 is prime because no prime up to ā94291 ā 307.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9093rd prime is close to 9093 Ć ln(9093) ā 82885, and here it is 94291.
- 4
94291 has no twin: neither 94289 nor 94293 is prime.
Primes around the 9093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9090 | 94253 | 24 |
| 9091 | 94261 | 8 |
| 9092 | 94273 | 12 |
| 9093 | 94291 | 18 |
| 9094 | 94307 | 16 |
| 9095 | 94309 | 2 |
| 9096 | 94321 | 12 |
Questions
What is the 9093rd prime number?
94291.
Which prime number is 94291?
94291 is the 9093rd prime number.
What is the sum of the first 9093 primes?
405,935,850.